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1\documentclass[a4paper,11pt,oneside,twocolumn]{article}
2%\usepackage[english]{babel}
3\usepackage[ansinew]{inputenc}
4\usepackage{abstract}
5
6\usepackage{amsmath}
7\usepackage{epic}
8\usepackage{wrapfig}
9\usepackage{eepic}
10\usepackage{color}
11\usepackage{latexsym}
12\usepackage{array}
13\usepackage{multicol}
14
15\usepackage{fancyhdr}
16\usepackage{verbatim}
17\addtolength{\textwidth}{1cm} \addtolength{\hoffset}{-0.5cm}
18\usepackage[colorlinks=true, pdfstartview=FitV, linkcolor=blue, citecolor=blue, urlcolor=blue, unicode]{hyperref}
19\usepackage{ifpdf}
20\usepackage{cite}
21
22\usepackage{enumitem}
23
24\newcommand{\dollar}{\$}
25
26\ifpdf
27 \usepackage[pdftex]{graphicx}
28 \graphicspath{{all_png/}}
29 \pdfinfo{
30 /Author (S. Ovyn, X. Rouby, V. Lemaitre)
31 /Title (Delphes, a framework for fast simulation of a generic collider experiment)
32 /Subject ()
33 /Keywords (Delphes, Fast simulation, smearing, reconstruction, trigger, event display, LHC, Hector, FastJet, Frog)}
34\else
35 \usepackage[dvips]{graphicx}
36 \graphicspath{{figures/}}
37\fi
38
39\title{\textsc{Delphes}, a framework for fast simulation \\of a generic collider experiment}
40\author{S. Ovyn, X. Rouby$^\textrm{a}$ and V. Lema\^itre\\
41 \small{Center for Particle Physics and Phenomenology (CP3)}\\
42 \small{Universit\'e catholique de Louvain}\\
43 \small{B-1348 Louvain-la-Neuve, Belgium}\\ \\
44 \texttt{severine.ovyn@uclouvain.be, xavier.rouby@cern.ch} \\
45 \texttt{vincent.lemaitre@uclouvain.be} \\
46}
47\date{}
48
49
50\begin{document}
51
52\twocolumn[
53\maketitle
54
55\begin{center}
56\includegraphics{DelphesLogoSml}
57\end{center}
58
59
60\begin{abstract}
61It is always delicate to know whether theoretical predictions are visible and measurable in a high energy collider experiment due to the complexity of the related detectors, data acquisition chain and software.
62We introduce here a new \texttt{C++}-based framework, \textsc{Delphes}, for fast simulation of
63a general-purpose experiment. The simulation includes a tracking system, embedded into a magnetic field, calorimetry and a muon
64system, and possible very forward detectors arranged along the beamline.
65The framework is interfaced to standard file formats (e.g. Les Houches Event File) and outputs observable objects for analysis, like missing transverse energy and collections of electrons or jets.
66The simulation of detector response takes into account the detector resolution, and usual reconstruction algorithms, such as \textsc{FastJet}. A simplified preselection can also be applied on processed data for trigger emulation. Detection of very forward scattered particles relies on the transport in beamlines with the \textsc{Hector} software. Finally, the \textsc{Frog} 2D/3D event display is used for visualisation of the collision final states.
67An overview of \textsc{Delphes} is given as well as a few \textsc{lhc} use-cases for illustration.
68\vspace{0.5cm}
69
70\noindent
71\textit{Keywords:} \textsc{Delphes}, fast simulation, trigger, event display, \textsc{lhc}, \textsc{FastJet}, \textsc{Hector}, \textsc{Frog}\\
72\href{http://www.fynu.ucl.ac.be/delphes.html}{http://www.fynu.ucl.ac.be/delphes.html}\\
73\textit{Preprint:} \texttt{CP3-09-01}
74\vspace{1.5cm}
75
76\end{abstract}
77\small{$^\textrm{a}$ Now in Physikalisches Institut, Albert-Ludwigs-Universit\"at Freiburg}
78]
79%\saythanks
80
81\section{Introduction}
82
83Experiments at high energy colliders are very complex systems for several reasons. Firstly, in terms of the various detector subsystems, including tracking, central calorimetry, forward calorimetry, and muon chambers. Such apparatus differ in their detection principles, technologies, geometrical acceptances, resolutions and sensitivities. Secondly, due to the requirement of a highly effective online selection (i.e. a \textit{trigger}), subdivided into several levels for an optimal reduction factor of ``uninteresting'' events, but based only on partially processed data. Finally, in terms of the experiment software, with different data formats (like \textit{raw} or \textit{reconstructed} data), many reconstruction algorithms and particle identification approaches.
84
85This complexity is handled by large collaborations of thousands of people, but the data and the expertise are only available to their members. Real data analyses require a full detector simulation, including transport of the primary and secondary particles through the detector material accounting for the various detector inefficiencies, the dead material, the imperfections and the geometrical details. Moreover, control of the detector calibration and alignment are crucial. Such simulation is very complicated, technical and requires a large \texttt{CPU} power. On the other hand, phenomenological studies, looking for the observability of given signals, may require only fast but realistic estimates of the expected signals and associated backgrounds.
86
87A new framework, called \textsc{Delphes}~\cite{bib:Delphes}, is introduced here, for the fast simulation of a general-purpose collider experiment.
88Using the framework, observables can be estimated for specific signal and background channels, as well as their production and measurement rates.
89Starting from the output of event generators, the simulation of the detector response takes into account the subdetector resolutions, by smearing the kinematic properties of the final-state particles\footnote{Throughout the paper, final-state particles refer as particles considered as stable by the event generator.}. Tracks of charged particles and deposits of energy in calorimetric cells (or \textit{calotowers}) are then created.
90
91\textsc{Delphes} includes the most crucial experimental features, such as (Fig.~\ref{fig:FlowChart}):
92\begin{enumerate}
93\item the geometry of both central and forward detectors,
94\item magnetic field for tracks
95\item reconstruction of photons, leptons, jets, $b$-jets, $\tau$-jets and missing transverse energy,
96\item lepton isolation,
97\item trigger emulation,
98\item an event display.
99\end{enumerate}
100
101\begin{figure*}[!ht]
102\begin{center}
103\includegraphics[scale=0.78]{FlowDelphes}
104\caption{Flow chart describing the principles behind \textsc{Delphes}. Event files coming from external Monte Carlo generators are read by a converter stage (top).
105The kinematics variables of the final-state particles are then smeared according to the tunable subdetector resolutions.
106Tracks are reconstructed in a simulated solenoidal magnetic field and calorimetric towers sample the energy deposits. Based on these low-level objects, dedicated algorithms are applied for particle identification, isolation and reconstruction.
107The transport of very forward particles to the near-beam detectors is also simulated.
108Finally, an output file is written, including generator-level and analysis-object data.
109If requested, a fully parametrisable trigger can be emulated. Optionally, the geometry and visualisation files for the 3D event display can also be produced.
110All user parameters are set in the \textit{Detector/Smearing Card} and the \textit{Trigger Card}. }
111\label{fig:FlowChart}
112\end{center}
113\end{figure*}
114
115Although this kind of approach yields much realistic results than a simple ``parton-level" analysis, a fast simulation comes with some limitations. Detector geometry is idealised, being uniform, symmetric around the beam axis, and having no cracks nor dead material. Secondary interactions, multiple scatterings, photon conversion and bremsstrahlung are also neglected.
116
117Three dataformat files can be used as input in \textsc{Delphes}\footnote{\texttt{[code] }See the \texttt{HEPEVTConverter}, \texttt{LHEFConverter} and \texttt{STDHEPConverter} classes.}. In order to process events from many different generators, the standard Monte Carlo event structure \texttt{StdHEP}~\cite{bib:stdhep} can be used as an input. Besides, \textsc{Delphes} can also provide detector response for events read in ``Les Houches Event Format'' (\textsc{lhef}~\cite{bib:lhe}) and \textsc{root} files obtained from \textsc{.hbook} using the \texttt{h2root} utility from the \textsc{root} framework~\cite{bib:Root}.
118%Afterwards, \textsc{Delphes} performs a simple trigger simulation and reconstruct "high-level objects". These informations are organised in classes and each objects are ordered with respect to the transverse momentum.
119
120\textsc{Delphes} uses the \texttt{ExRootAnalysis} utility~\cite{bib:ExRootAnalysis} to create output data in a \texttt{*.root} ntuple.
121This output contains a copy of the generator-level data (\textsc{gen} tree), the analysis data objects after reconstruction (\mbox{\textsc{A}nalysis} tree), and possibly the results of the trigger emulation (\mbox{\textsc{T}rigger} tree).
122In option\footnote{\texttt{[code]} See the \texttt{FLAG\_lhco} variable in the detector datacard. This text file format is shortly described in the user manual.}, \textsc{Delphes} can produce a reduced output file in \texttt{*.lhco} text format, which is limited to the list of the reconstructed high-level objects in the final states.
123
124The program is driven by input cards. The detector card (\texttt{data/DetectorCard.dat}) allows a large spectrum of running conditions by modifying basic detector parameters, including calorimeter and tracking coverage and resolution, thresholds or jet algorithm parameters. The trigger card (\texttt{data/TriggerCard.dat}) lists the user algorithms for the simplified online
125preselection.
126
127
128\section{Detector simulation}
129
130The overall layout of the general-purpose detector simulated by \textsc{Delphes} is shown in Fig.~\ref{fig:GenDet3}.
131A central tracking system (\textsc{tracker}) is surrounded by an electromagnetic and a hadron calorimeters (\textsc{ecal} and \textsc{hcal}, resp.). Two forward calorimeters (\textsc{fcal}) ensure a larger geometric coverage for the measurement of the missing transverse energy. Finally, a muon system (\textsc{muon}) encloses the central detector volume
132The fast simulation of the detector response takes into account geometrical acceptance of sub-detectors and their finite resolution, as defined in the detector data card\footnote{\texttt{[code] }See the \texttt{RESOLution} class.}.
133If no such file is provided, predefined values based on ``typical'' \textsc{cms} acceptances and resolutions are used\footnote{\texttt{[code] }Detector and trigger cards for the \textsc{atlas} and \textsc{cms} experiments are also provided in \texttt{data/} directory.}. The geometrical coverage of the various subsystems used in the default configuration are summarised in Tab.~\ref{tab:defEta}.
134
135\begin{table*}[t]
136\begin{center}
137\caption{Default extension in pseudorapidity $\eta$ of the different subdetectors.
138Full azimuthal ($\phi$) acceptance is assumed.
139The corresponding parameter name, in the detector card, is given. \vspace{0.5cm}}
140\begin{tabular}{llcc}
141\hline
142Subdetector & & $\eta$ & $\phi$ \\
143\textsc{tracker} & {\verb CEN_max_tracker } & $[-2.5; 2.5]$ & $[-\pi ; \pi]$\\
144\textsc{ecal}, \textsc{hcal} & {\verb CEN_max_calo_cen }& $[-3.0 ; 3.0]$ & $[-\pi ; \pi]$\\
145\textsc{fcal} & {\verb CEN_max_calo_fwd } & $[-5 ; 3]$ \& $[3 ;5]$ & $[-\pi ; \pi]$\\
146\textsc{muon} & {\verb CEN_max_mu } & $[-2.4 ; 2.4]$ & $[-\pi ; \pi]$\\ \hline
147\end{tabular}
148\label{tab:defEta}
149\end{center}
150\end{table*}
151
152\begin{figure}[!h]
153\begin{center}
154\includegraphics[width=\columnwidth]{Detector_Delphes_3}
155\caption{
156Profile of layout of the generic detector geometry assumed in \textsc{Delphes}. The innermost layer, close to the interaction point, is a central tracking system (pink).
157It is surrounded by a central calorimeter volume (green) with both electromagnetic and hadronic sections.
158The outer layer of the central system (red) consist of a muon system. In addition, two end-cap calorimeters (blue) extend the pseudorapidity coverage of the central detector.
159The detector parameters are defined in the user-configuration card. The extension of the various subdetectors, as defined in Tab.~\ref{tab:defEta}, are clearly visible. The detector is assumed to be strictly symmetric around the beam axis (black line). Additional forward detectors are not depicted.
160}
161\label{fig:GenDet3}
162\end{center}
163\end{figure}
164
165
166\subsubsection*{Magnetic field}
167In addition to the subdetectors, the effects of a solenoidal magnetic field is simulated for the charged particles\footnote{\texttt{[code] }See the \texttt{TrackPropagation} class.}. This affects the position at which charged particles enter the calorimeters and their corresponding tracks.
168
169
170
171\subsection{Tracks reconstruction}
172Every stable charged particle with a transverse momentum above some threshold and lying inside the detector volume covered by the tracker provides a track.
173By default, a track is assumed to be reconstructed with $90\%$ probability\footnote{\texttt{[code]} The reconstruction efficiency is defined in the detector datacard by the \texttt{TRACKING\_EFF} term.} if its transverse momentum $p_T$ is higher than $0.9~\textrm{GeV}/c$ and if its pseudorapidity $|\eta| \leq 2.5$.
174
175
176\subsection{Simulation of calorimeters}
177
178The energy of each particle considered as stable in the generator particle list is smeared, with a Gaussian distribution depending on the calorimeter resolution. This resolution varies with the sub-calorimeter (\textsc{ecal}, \textsc{hcal}, \textsc{fcal}) measuring the particle.
179The response of each sub-calorimeter is parametrised as a function of the energy:
180\begin{equation}
181\frac{\sigma}{E} = \frac{S}{\sqrt{E}} \oplus \frac{N}{E} \oplus C,
182\label{eq:caloresolution}
183\end{equation}
184where $S$, $N$ and $C$ are the \textit{stochastic}, \textit{noise} and \textit{constant} terms, respectively, and $\oplus$ stands for quadratic additions.\\
185
186
187The particle four-momentum $p^\mu$ are smeared with a parametrisation directly derived from typical detector technical designs\footnote{\texttt{[code] }~\cite{bib:cmsjetresolution,bib:ATLASresolution}. The response of the detector is applied to the electromagnetic and the hadronic particles through the \texttt{SmearElectron} and \texttt{SmearHadron} functions.}.
188In the default parametrisation, the calorimeter is assumed to cover the pseudorapidity range $|\eta|<3$ and consists in an electromagnetic and hadronic parts. Coverage between pseudorapidities of $3.0$ and $5.0$ is provided by forward calorimeters, with different response to electromagnetic objects ($e^\pm, \gamma$) or hadrons.
189Muons and neutrinos are assumed not to interact with the calorimeters\footnote{In the current \textsc{Delphes} version, particles other than electrons ($e^\pm$), photons ($\gamma$), muons ($\mu^\pm$) and neutrinos ($\nu_e$, $\nu_\mu$ and $\nu_\tau$) are simulated as hadrons for their interactions with the calorimeters. The simulation of stable particles beyond the Standard Model should therefore be handled with care.}.
190The default values of the stochastic, noise and constant terms are given in Tab.~\ref{tab:defResol}.\\
191
192\begin{table}[!h]
193\begin{center}
194\caption{Default values for the resolution of the central and forward calorimeters. Resolution is parametrised by the \textit{stochastic} ($S$), \textit{noise} ($N$) and \textit{constant} ($C$) terms (Eq.~\ref{eq:caloresolution}).
195The corresponding parameter name, in the detector card, is given. \vspace{0.5cm}}
196\begin{tabular}[!h]{lllc}
197\hline
198\multicolumn{2}{c}{Resolution Term} & Card flag & Value\\\hline
199 \multicolumn{4}{l}{\textsc{ecal}} \\
200 & $S$ (GeV$^{1/2}$) & {\verb ELG_Scen } & $0.05$ \\
201 & $N$ (GeV)& {\verb ELG_Ncen } & $0.25$ \\
202 & $C$ & {\verb ELG_Ccen } & $0.0055$ \\
203 \multicolumn{4}{l}{\textsc{fcal}, electromagnetic part} \\
204 & $S$ (GeV$^{1/2}$)& {\verb ELG_Sfwd } & $2.084$ \\
205 & $N$ (GeV)& {\verb ELG_Nfwd } & $0$ \\
206 & $C$ & {\verb ELG_Cfwd } & $0.107$ \\
207 \multicolumn{4}{l}{\textsc{hcal}} \\
208 & $S$ (GeV$^{1/2}$)& {\verb HAD_Shcal } & $1.5$ \\
209 & $N$ (GeV)& {\verb HAD_Nhcal } & $0$\\
210 & $C$ & {\verb HAD_Chcal } & $0.05$\\
211 \multicolumn{4}{l}{\textsc{fcal}, hadronic part} \\
212 & $S$ (GeV$^{1/2}$)& {\verb HAD_Shf } & $2.7$\\
213 & $N$ (GeV)& {\verb HAD_Nhf } & $0$. \\
214 & $C$ & {\verb HAD_Chf } & $0.13$\\
215\hline
216\end{tabular}
217\label{tab:defResol}
218\end{center}
219\end{table}
220
221The energy of electrons and photons found in the particle list are smeared using the \textsc{ecal} resolution terms. Charged and neutral final-state hadrons interact with the \textsc{ecal}, \textsc{hcal} and \textsc{fcal}.
222Some long-living particles, such as the $K^0_s$ and $\Lambda$'s, with lifetime $c\tau$ smaller than $10~\textrm{mm}$ are considered as stable particles although they decay before the calorimeters. The energy smearing of such particles is performed using the expected fraction of the energy, determined according to their decay products, that would be deposited into the \textsc{ecal} ($E_{\textsc{ecal}}$) and into the \textsc{hcal} ($E_{\textsc{hcal}}$). Defining $F$ as the fraction of the energy leading to a \textsc{hcal} deposit, the two energy values are given by
223\begin{equation}
224\left\{
225\begin{array}{l}
226E_{\textsc{hcal}} = E \times F \\
227E_{\textsc{ecal}} = E \times (1-F) \\
228\end{array}
229\right.
230\end{equation}
231where $0 \leq F \leq 1$. The electromagnetic part is handled the same way for the electrons and photons.
232The resulting calorimetry energy measurement given after the application of the smearing is then $E = E_{\textsc{hcal}} + E_{\textsc{ecal}}$. For $K_S^0$ and $\Lambda$ hadrons\footnote{\texttt{[code]} To implement different ratios for other particles, see the \texttt{BlockClasses} class.}, the energy fraction is $F$ is assumed to be $0.7$.\\
233
234\subsection{Calorimetric towers}
235
236The smallest unit for geometrical sampling of the calorimeters is a \textit{tower}; it segments the $(\eta,\phi)$ plane for the energy measurement. No longitudinal segmentation is available in the simulated calorimeters. All undecayed particles, except muons and neutrinos deposit energy in a calorimetric tower, either in \textsc{ecal}, in \textsc{hcal} or \textsc{fcal}.
237As the detector is assumed to be cylindrical (e.g. symmetric in $\phi$ and with respect to the $\eta=0$ plane), the detector card stores the number of calorimetric towers with $\phi=0$ and $\eta>0$ (default: $40$ towers). For a given $\eta$, the size of the $\phi$ segmentation is also specified. Fig.~\ref{fig:calosegmentation} illustrates the default segmentation of the $(\eta,\phi)$ plane.
238
239\begin{figure}[!h]
240\begin{center}
241\includegraphics[width=\columnwidth]{calosegmentation}
242\caption{Default segmentation of the calorimeters in the $(\eta,\phi)$ plane. Only the central detectors (\textsc{ecal}, \textsc{hcal}) and \textsc{fcal} are considered.}
243\label{fig:calosegmentation}
244\end{center}
245\end{figure}
246
247The calorimetric towers directly enter in the calculation of the missing transverse energy (\textsc{met}), and as input for the jet reconstruction algorithms. No sharing between neighbouring towers is implemented when particles enter a tower very close to its geometrical edge. Smearing is applied directly on the accumulated electromagnetic and hadronic energies of each calorimetric tower.
248
249\subsection{Very forward detectors simulation}
250
251Most of the recent experiments in beam colliders have additional instrumentation along the beamline. These extend the $\eta$ coverage to higher values, for the detection of very forward final-state particles.
252Zero Degree Calorimeters (\textsc{zdc}) are located at zero angle, i.e. are aligned with the beamline axis at the interaction point, and placed beyond the point where the paths of incoming and outgoing beams separate (Fig.~\ref{fig:fdets}). These allow the measurement of stable neutral particles ($\gamma$ and $n$) coming from the interaction point, with large pseudorapidities (e.g. $|\eta_{\textrm{n,}\gamma}| > 8.3$ in \textsc{atlas} and \textsc{cms}).
253Forward taggers (called here \textsc{rp220}, for ``roman pots at $220~\textrm{m}$'' and \textsc{fp420} ``for forward proton taggers at $420~\textrm{m}$'', as at the \textsc{lhc}) are meant for the measurement of particles following very closely the beam path. To be able to reach these detectors, such particles must have a charge identical to the beam particles, and a momentum very close to the nominal value for the beam. These taggers are near-beam detectors located a few millimetres from the true beam trajectory and this distance defines their acceptance (Tab.~\ref{tab:fdetacceptance}).
254
255\begin{figure}[!h]
256\begin{center}
257\includegraphics[width=\columnwidth]{fdets}
258\caption{Default location of the very forward detectors, including \textsc{zdc}, \textsc{rp220} and \textsc{fp420} in the \textsc{lhc} beamline.
259Incoming (red) and outgoing (black) beams on one side of the interaction point ($s=0~\textrm{m}$).
260The Zero Degree Calorimeter is located in perfect alignment with the beamline axis at the interaction point, at $140~\textrm{m}$, the beam paths are separated. The forward taggers are near-beam detectors located at $220~\textrm{m}$ and $420~\textrm{m}$. Beamline simulation with \textsc{Hector}~\cite{bib:Hector}.}
261\label{fig:fdets}
262\end{center}
263\end{figure}
264
265\begin{table*}[t]
266\begin{center}
267\caption{Default parameters for the forward detectors: distance from the interaction point and detector acceptance. The \textsc{lhc} beamline is assumed around the fifth \textsc{lhc} interaction point (\textsc{ip}). For the \textsc{zdc}, the acceptance depends only on the pseudorapidity $\eta$ of the particle, which should be neutral and stable.
268The tagger acceptance is fully determined by the distance in the transverse plane of the detector to the real beam position~\cite{bib:Hector}. It is expressed in terms of the particle energy ($E$).
269\vspace{0.5cm}}
270\begin{tabular}{llcl}
271\hline
272Detector & Distance from \textsc{ip}& Acceptance & \\ \hline
273\textsc{zdc} & $140$ m & $|\eta|> 8.3$ & for $n$ and $\gamma$\\
274\textsc{rp220} & $220$ m & $E \in [6100 ; 6880]$ (GeV) & at $2~\textrm{mm}$\\
275\textsc{fp420} & $420$ m & $E \in [6880 ; 6980]$ (GeV) & at $4~\textrm{mm}$\\
276\hline
277\end{tabular}
278\label{tab:fdetacceptance}
279\end{center}
280\end{table*}
281
282
283While neutral particles propagate along a straight line to the \textsc{zdc}, a dedicated simulation of the transport of charged particles is needed for \textsc{rp220} and \textsc{fp420}. This fast simulation uses the \textsc{Hector} software~\cite{bib:Hector}, which includes the chromaticity effects and the geometrical aperture of the beamline elements of any arbitrary collider.
284
285Some subdetectors have the ability to measure the time of flight of the particle.
286This corresponds to the delay after which the particle is observed in the detector, with respect to the bunch crossing reference time at the interaction point ($t_0$). The time of flight measurement of \textsc{zdc} and \textsc{fp420} detector is implemented here. For the \textsc{zdc}, the formula is simply
287\begin{equation}
288 t = t_0 + \frac{1}{v} \times \Big( \frac{s-z}{\cos \theta}\Big),
289\end{equation}
290where $t$ is the time of flight, $t_0$ is the true time coordinate of the vertex from which the particle originates, $v$ the particle velocity, $s$ is the \textsc{zdc} distance to the interaction point, $z$ is the longitudinal coordinate of the vertex from which the particle comes from, $\theta$ is the particle emission angle. This assumes that the neutral particle observed in the \textsc{zdc} is highly relativistic, i.e. travelling at the speed of light $c$. We also assume that $\cos \theta = 1$, i.e. $\theta \approx 0$ or equivalently $\eta$ is large. As an example, $\eta = 5$ leads to $\theta = 0.013$ and $1 - \cos \theta < 10^{-4}$.
291The formula then reduces to
292\begin{equation}
293 t = \frac{1}{c} \times (s-z)
294\end{equation}
295For example, a photon takes $0.47~\mu\textrm{s}$ to reach a \textsc{zdc} located at $s=140~\textrm{m}$, neglecting $z$ and $\theta$, and assuming that $v=c$. Only neutrons and photons are currently assumed to be able to reach the \textsc{zdc}. All other particles are neglected in the \textsc{zdc}.
296
297\section{High-level object reconstruction}
298
299Analysis object data contain the final collections of particles ($e^\pm$, $\mu^\pm$, $\gamma$) or objects (light jets, $b$-jets, $\tau$-jets, $E_T^\textrm{miss}$) and are stored\footnote{\texttt{[code] }All these processed data are located under the \texttt{Analysis} tree.} in the output file created by \textsc{Delphes}.
300In addition, some detector data are added: tracks, calorimetric towers and hits in \textsc{zdc}, \textsc{rp220} and \textsc{fp420}.
301While electrons, muons and photons are easily identified, some other objects are more difficult to measure, like jets or missing energy due to invisible particles.
302
303For most of these objects, their four-momentum and related quantities are directly accessible in \textsc{Delphes} output ($E$, $\vec{p}$, $p_T$, $\eta$ and $\phi$). Additional properties are available for specific objects (like the charge and the isolation status for $e^\pm$ and $\mu^\pm$, the result of application of $b$-tag for jets and time-of-flight for some detector hits).
304
305
306
307\subsection{Photon and charged lepton reconstruction}
308From here onwards, \textit{electrons} refer to both positrons ($e^+$) and electrons ($e^-$), and $\textit{charged leptons}$ refer to electrons and muons ($\mu^\pm$), leaving out the $\tau^\pm$ leptons as they decay before being detected.
309
310\subsubsection*{Electrons and photons}
311Electron ($e^\pm$) and photon candidates are reconstructed if they fall into the acceptance of the tracking system and have a transverse momentum above a threshold (default $p_T > 10~\textrm{GeV}/c$). A calorimetric tower will be seen in the detector, an electrons will leave in addition a track. Subsequently, electrons and photons create a candidate in the jet collection.
312Assuming a good measurement of the track parameters in the real experiment, the electron energy can be reasonably recovered. In \textsc{Delphes}, electron energy is smeared according to the resolution of the calorimetric tower where it points to, but independently from any other deposited energy is this tower. This approach is still conservative as the calorimeter resolution is worse than the tracker one.
313
314\subsubsection*{Muons}
315Generator-level muons entering the detector acceptance are considered as candidates for the analysis level.
316The acceptance is defined in terms of a transverse momentum threshold to be overpassed that should be computed using the chosen geometry of the detector and the magnetic field considered (default : $p_T > 10~\textrm{GeV}/c$) and of the pseudorapidity coverage of the muon system (default: $-2.4 \leq \eta \leq 2.4$).
317The application of the detector resolution on the muon momentum depends on a Gaussian smearing of the $p_T$ variable\footnote{\texttt{[code]} See the \texttt{SmearMuon} method.}. Neither $\eta$ nor $\phi$ variables are modified beyond the calorimeters: no additional magnetic field is applied. Multiple scattering is neglected. This implies that low energy muons have in \textsc{Delphes} a better resolution than in a real detector. Furthermore, muons leave no deposit in calorimeters.
318
319\subsubsection*{Charged lepton isolation}
320\label{sec:isolation}
321
322To improve the quality of the contents of the charged lepton collections, additional criteria can be applied such as isolation. This requires that electron or muon candidates are isolated in the detector from any other particle, within a small cone. In \textsc{Delphes}, charged lepton isolation demands that there is no other charged particle with $p_T>2~\textrm{GeV}/c$ within a cone of $\Delta R = \sqrt{\Delta \eta^2 + \Delta \phi^2} <0.5$ around the lepton.
323The result (i.e. \textit{isolated} or \textit{not}) is added to the charged lepton measured properties.
324In addition, the sum $P_T$ of the transverse momenta of all tracks but the lepton one within the isolation cone is
325provided\footnote{\texttt{[code] }See the \texttt{IsolFlag} and \texttt{IsolPt} values in the \texttt{Electron} or \texttt{Muon} collections in the \texttt{Analysis} tree, as well as the \texttt{ISOL\_PT} and \texttt{ISOL\_Cone} variables in the detector card.}:
326$$ P_T = \sum_{i \neq \mu}^\textrm{tracks} p_T(i)$$
327
328No calorimetric isolation is applied, but the muon collection contains also the ratio $\rho_\mu$ between (1) the sum of the transverse energies in all calotowers in a $N \times N$ grid around the muon, and (2) the muon transverse
329momentum\footnote{\texttt{[code] }Calorimetric isolation parameters in the detector card are \texttt{ISOL\_Calo\_ET} and \texttt{ISOL\_Calo\_Grid}.}:
330$$ \rho_\mu = \frac{\Sigma_i E_T(i)}{p_T(\mu)}~,~ i\textrm{ in }N \times N \textrm { grid centred on }\mu.$$
331
332
333
334
335
336
337\subsection{Jet reconstruction}
338
339A realistic analysis requires a correct treatment of particles which have hadronised. Therefore, the most widely currently used jet algorithms have been integrated into the \textsc{Delphes} framework using the \textsc{FastJet} tools~\cite{bib:FastJet}.
340Six different jet reconstruction schemes are available\footnote{\texttt{[code] }The choice is done by allocating the \texttt{JET\_jetalgo } input parameter in the detector card.}. The first three belong to the cone algorithm class while the last three are using a sequential recombination scheme. For all of them, the towers are used as input for the jet clustering. Jet algorithms differ in their sensitivity to soft particles or collinear splittings, and in their computing speed performances.
341By default, reconstruction uses a cone algorithm with $\Delta R=0.7$.
342Jets are stored if their transverse energy is higher\footnote{\texttt{[code] PTCUT\_jet }variable in the detector card.} than $20~\textrm{GeV}$.
343
344\subsubsection*{Cone algorithms}
345
346\begin{enumerate}
347
348\item {\it CDF Jet Clusters}~\cite{bib:jetclu}: Algorithm forming jets by associating together towers lying within a circle (default radius $\Delta R=0.7$) in the $(\eta$, $\phi)$ space.
349This so-called \textsc{Jetclu} cone jet algorithm is used by the \textsc{cdf} experiment in Run II.
350All towers with a transverse energy $E_T$ higher than a given threshold (default: $E_T > 1~\textrm{GeV}$) are used to seed the jet candidates.
351The existing \textsc{FastJet} code has been modified to allow easy modification of the tower pattern in $\eta$, $\phi$ space.
352In the following versions of \textsc{Delphes}, a new dedicated plug-in will be created on this purpose\footnote{\texttt{[code] }\texttt{JET\_coneradius} and \texttt{JET\_seed} variables in the detector card.}.
353
354\item {\it CDF MidPoint}~\cite{bib:midpoint}: Algorithm developed for the \textsc{cdf} Run II to reduce infrared and collinear sensitivity compared to purely seed-based cone by adding `midpoints' (energy barycentres) in the list of cone seeds.
355
356\item {\it Seedless Infrared Safe Cone}~\cite{bib:SIScone}: The \textsc{SISCone} algorithm is simultaneously insensitive to additional soft particles and collinear splittings, and fast enough to be used in experimental analysis.
357
358\end{enumerate}
359
360\subsubsection*{Recombination algorithms}
361
362The three sequential recombination jet algorithms are safe with respect to soft radiations (\textit{infrared}) and collinear splittings. They rely on recombination schemes where calorimeter tower pairs are successively merged. The definitions of the jet algorithms are similar except for the definition of the \textit{distances} $d$ used during the merging procedure. Two such variables are defined: the distance $d_{ij}$ between each pair of towers $(i,j)$, and a variable $d_{iB}$ (\textit{beam distance}) depending on the transverse momentum of the tower $i$.
363
364The jet reconstruction algorithm browses the calotower list. It starts by finding the minimum value $d_\textrm{min}$ of all the distances $d_{ij}$ and $d_{iB}$. If $d_\textrm{min}$ is a $d_{ij}$, the towers $i$ and $j$ are merged into a single tower with a four-momentum $p^\mu = p^\mu (i) + p^\mu (j)$ (\textit{E-scheme recombination}). If $d_\textrm{min}$ is a $d_{iB}$, the tower is declared as a final jet and is removed from the input list. This procedure is repeated until no towers are left in the input list. Further information on these jet algorithms is given here below, using $k_{ti}$, $y_{i}$ and $\phi_i$ as the transverse momentum, rapidity and azimuth of calotower $i$ and $\Delta R_{ij}= \sqrt{(y_i-y_j)^2+(\phi_i-\phi_j)^2}$ as the jet-radius parameter:
365
366\begin{enumerate}[start=4]
367
368\item {\it Longitudinally invariant $k_t$ jet}~\cite{bib:ktjet}:
369\begin{equation}
370\begin{array}{l}
371 d_{ij} = \min(k_{ti}^2,k_{tj}^2)\Delta R_{ij}^2/R^2 \\
372 d_{iB}=k_{ti}^2 \\
373\end{array}
374\end{equation}
375
376\item {\it Cambridge/Aachen jet}~\cite{bib:aachen}:
377\begin{equation}
378\begin{array}{l}
379d_{ij} = \Delta R_{ij}^2/R^2\\
380d_{iB}=1 \\
381\end{array}
382\end{equation}
383
384\item {\it Anti $k_t$ jet}~\cite{bib:antikt}: where hard jets are exactly circular in the $(y,\phi)$ plane
385\begin{equation}
386\begin{array}{l}
387d_{ij} = \min(1/k_{ti}^2,1/k_{tj}^2)\Delta R_{ij}^2/R^2 \\
388d_{iB}=1/k_{ti}^2 \\
389\end{array}
390\end{equation}
391\end{enumerate}
392
393
394
395\subsection{$b$-tagging}
396
397A jet is tagged as $b$-jets if its direction lies in the acceptance of the tracker and if it is associated to a parent $b$-quark. By default, a $b$-tagging efficiency of $40\%$ is assumed if the jet has a parent $b$ quark. For $c$-jets and light jets (i.e. originating in $u$,$d$,$s$ quarks or in gluons), a fake $b$-tagging efficiency of $10 \%$ and $1 \%$ respectively is assumed\footnote{\texttt{[code] }Corresponding to the \texttt{BTAG\_b}, \texttt{BTAG\_mistag\_c} and \texttt{BTAG\_mistag\_l} constants, for (respectively) the efficiency of tagging of a $b$-jet, the efficiency of mistagging a $c$-jet as a $b$-jet, and the efficiency of mistagging a light jet ($u$,$d$,$s$,$g$) as a $b$-jet.}.
398The (mis)tagging relies on the true particle identity (\textsc{pid}) of the most energetic particle within a cone around the observed $(\eta,\phi)$ region, with a radius equal to the one used to reconstruct the jet (default: $\Delta R$ of $0.7$).
399
400\subsection{\texorpdfstring{$\tau$}{\texttau} identification}
401
402Jets originating from $\tau$-decays are identified using an identification procedure consistent with the one applied in a full detector simulation~\cite{bib:cmsjetresolution}.
403The tagging relies on two properties of the $\tau$ lepton. First, $77\%$ of the $\tau$ hadronic decays contain only one charged hadron associated to a few neutrals (Tab.~\ref{tab:taudecay}). Tracks are useful for this criterion. Secondly, the particles arisen from the $\tau$ lepton produce narrow jets in the calorimeter (this is defined as the jet \textit{collimation}).
404
405
406\begin{table}[!h]
407\begin{center}
408\caption{ Branching rations for $\tau^-$ lepton~\cite{bib:pdg}. $h^\pm$ and $h^0$ refer to charged and neutral hadrons, respectively. $n \geq 0$ and $m \geq 0$ are integers.
409\vspace{0.5cm} }
410\begin{tabular}[!h]{ll}
411\hline
412 \multicolumn{2}{l}{\textbf{Leptonic decays}}\\
413 $ \tau^- \rightarrow e^- \ \bar \nu_e \ \nu_\tau$ & $17.9\% $ \\
414 $ \tau^- \rightarrow \mu^- \ \bar \nu_\mu \ \nu_\tau$ & $17.4\%$ \\
415 \multicolumn{2}{l}{\textbf{Hadronic decays}}\\
416 $ \tau^- \rightarrow h^-\ n\times h^\pm \ m\times h^0\ \nu_\tau$ & $64.7\%$ \\
417 $ \tau^- \rightarrow h^-\ m\times h^0 \ \nu_\tau$ & $50.1\%$ \\
418 $ \tau^- \rightarrow h^-\ h^+ h^- m\times h^0 \ \nu_\tau$ & $14.6\%$ \\
419\hline
420\end{tabular}
421\label{tab:taudecay}
422\end{center}
423\end{table}
424
425\begin{figure}[!h]
426\begin{center}
427\includegraphics[width=0.6\columnwidth]{Tau}
428\caption{Illustration of the identification of $\tau$-jets. The jet cone is narrow and contains only one track. The small cone shown as the red one is used for the \textit{electromagnetic collimation}, while the green cone is the cone radius used to reconstruct the jet originating from the $\tau$-decay.}
429\label{h_WW_ss_cut1}
430\end{center}
431\end{figure}
432
433
434\begin{table}[!h]
435\begin{center}
436\caption{Default values for parameters used in $\tau$-jet reconstruction algorithm. Electromagnetic collimation requirements involve the inner \textit{small} cone radius $R^\textrm{em}$, the minimum transverse energy for calotowers $E_T^\textrm{tower}$ and the collimation factor $C_\tau$. Tracking isolation constrains the number of tracks with a significant transverse momentum $p_T^\textrm{tracks}$ in a cone of radius $R^\textrm{tracks}$. Finally, the $\tau$-jet collection is purified by the application of a cut on the $p_T$ of $\tau$-jet candidates.
437\vspace{0.5cm} }
438\begin{tabular}[!h]{lll}
439\hline
440Parameter & Card flag & Value\\\hline
441\multicolumn{3}{l}{\textbf{Electromagnetic collimation}} \\
442$R^\textrm{em}$ & \texttt{TAU\_energy\_scone } & $0.15$\\
443min $E_{T}^\textrm{tower}$ & {\verb JET_M_seed } & $1.0$~GeV\\
444$C_{\tau}$ & \texttt{TAU\_energy\_frac} & $0.95$\\
445\multicolumn{3}{l}{\textbf{Tracking isolation}} \\
446$R^\textrm{tracks}$ & \texttt{TAU\_track\_scone} & $0.4$\\
447min $p_T^{tracks}$ & \texttt{PTAU\_track\_pt } & $2$ GeV$/c$\\
448\multicolumn{3}{l}{\textbf{$\tau$-jet candidate}} \\
449$\min p_T$ & \texttt{TAUJET\_pt} & $10$ GeV$/c$\\
450\hline
451\end{tabular}
452\label{tab:tauRef}
453\end{center}
454\end{table}
455
456
457\subsubsection*{Electromagnetic collimation}
458
459To use the narrowness of the $\tau$-jet, the \textit{electromagnetic collimation} $C_{\tau}^{em}$ is defined as the sum of the energy of towers in a small cone of radius $R^\textrm{em}$ around the jet axis, divided by the energy of the reconstructed jet.
460To be taken into account, a calorimeter tower should have a transverse energy $E_T^\textrm{tower}$ above a given threshold.
461A large fraction of the jet energy is expected in this small cone. This fraction, or collimation factor, is represented in Fig.~\ref{fig:tau2} for the default values (see Tab.~\ref{tab:tauRef}).
462
463\begin{figure}[!h]
464\begin{center}
465\includegraphics[width=\columnwidth]{Tau2}
466\caption{Distribution of the electromagnetic collimation $C_\tau$ variable for true $\tau$-jets, normalised to unity. This distribution is shown for associated $WH$ photoproduction~\cite{bib:whphotoproduction}, where the Higgs boson decays into a $W^+ W^-$ pair. Each $W$ boson decays into a $\ell \nu_\ell$ pair, where $\ell = e, \mu, \tau$.
467Events generated with \textsc{MadGraph/MadEvent}~\cite{bib:mgme}.
468Final state hadronisation is performed by \textsc{Pythia}~\cite{bib:pythia}.
469Histogram entries correspond to true $\tau$-jets, matched with generator-level data. }
470\label{fig:tau2}
471\end{center}
472\end{figure}
473
474\subsubsection*{Tracking isolation}
475
476The tracking isolation for the $\tau$ identification requires that the number of tracks associated to a particle with a significant transverse momentum is one and only one in a cone of radius $R^\textrm{tracks}$ (3-prong $\tau$s are dropped).
477This cone should be entirely incorporated into the tracker to be taken into account. Default values of these parameters are given in Tab.~\ref{tab:tauRef}.
478
479
480
481\begin{figure}[!h]
482\begin{center}
483\includegraphics[width=\columnwidth]{Tau1}
484\caption{Distribution of the number of tracks $N^\textrm{tracks}$ within a small jet cone for true $\tau$-jets, normalised to unity. Photoproduced $WH$ events, where $W$ bosons decay leptonically ($e,\mu,\tau$), as in Fig.~\ref{fig:tau2}.
485Histogram entries correspond to true $\tau$-jets, matched with generator-level data.}
486\label{fig:tau1}
487\end{center}
488\end{figure}
489
490
491\subsubsection*{Purity}
492Once both electromagnetic collimation and tracking isolation are applied, a threshold on the $p_T$ of the $\tau$-jet candidate is requested to purify the collection. This procedure selects $\tau$ leptons decaying hadronically with a typical efficiency of $66\%$.
493
494\subsection{Missing transverse energy}
495In an ideal detector, momentum conservation imposes the transverse momentum of the observed final state $\overrightarrow{p_T}^\textrm{obs}$ to be equal to the $\overrightarrow{p_T}$ vector sum of the invisible particles, written $\overrightarrow{p_T}^\textrm{miss}$.
496\begin{equation}
497\overrightarrow{p_T} = \left(
498\begin{array}{c}
499p_x\\
500p_y\\
501\end{array}
502\right)
503~ \textrm{and} ~
504\left\{
505\begin{array}{l}
506 p_x^\textrm{miss} = - p_x^\textrm{obs} \\
507 p_y^\textrm{miss} = - p_y^\textrm{obs} \\
508\end{array}
509\right.
510\end{equation}
511The \textit{true} missing transverse energy, i.e. at generator-level, is calculated as the opposite of the vector sum of the transverse momenta of all visible particles -- or equivalently, to the vector sum of invisible particle transverse momenta.
512In a real experiment, calorimeters measure energy and not momentum. Any problem affecting the detector (dead channels, misalignment, noisy towers, cracks) worsens directly the measured missing transverse energy $\overrightarrow {E_T}^\textrm{miss}$. In this document, \textsc{met} is based on the calorimetric towers and only muons and neutrinos are not taken into account for its evaluation:
513\begin{equation}
514\overrightarrow{E_T}^\textrm{miss} = - \sum^\textrm{towers}_i \overrightarrow{E_T}(i)
515\end{equation}
516
517
518\section{Trigger emulation}
519
520New physics in collider experiment are often characterised in phenomenology by low cross-section values, compared to the Standard Model (\textsc{sm}) processes. %For instance at the \textsc{lhc} ($\sqrt{s}=14~\textrm{TeV}$), the cross-section of inclusive production of $b \bar b$ pairs is expected to be $10^7~\textrm{nb}$, or inclusive jets at $100~\textrm{nb}$ ($p_T > 200~\textrm{GeV}/c$), while Higgs boson cross-section within the \textsc{sm} can be as small as $2 \times 10^{-3}~\textrm{nb}$ ($pp \rightarrow WH$, $m_H=115~\textrm{GeV}/c^2$).
521
522%High statistics are required for data analyses, consequently imposing high luminosity, i.e. a high collision rate.
523As only a tiny fraction of the observed events can be stored for subsequent \textit{offline} analyses, a very large data rejection factor should be applied directly as the events are produced.
524This data selection is supposed to reject only well-known \textsc{sm} events\footnote{However, some bandwidth is allocated to minimum-bias and/or zero-bias (``random'') triggers that stores a small fraction of the events without any selection criteria.}.
525Dedicated algorithms of this \textit{online} selection, or \textit{trigger}, should be fast and very efficient for data rejection, in order to preserve the experiment output bandwidth. They must also be as inclusive as possible to avoid loosing interesting events.
526
527Most of the usual trigger algorithms select events containing objects (i.e. jets, particles, \textsc{met}) with an energy scale above some threshold. This is often expressed in terms of a cut on the transverse momentum of one or several objects of the measured event. Logical combinations of several conditions are also possible. For instance, a trigger path could select events containing at least one jet and one electron such as $p_T^\textrm{jet} > 100~\textrm{GeV}/c$ and $p_T^e > 50~\textrm{GeV}/c$.
528
529A trigger emulation is included in \textsc{Delphes}, using a fully parametrisable \textit{trigger table}\footnote{\texttt{[code] }The trigger card is the \texttt{data/TriggerCard.dat} file.}. When enabled, this trigger is applied on analysis-object data.
530In a real experiment, the online selection is often divided into several steps (or \textit{levels}).
531This splits the overall reduction factor into a product of smaller factors, corresponding to the different trigger levels.
532This is related to the architecture of the experiment data acquisition chain, with limited electronic buffers requiring a quick decision for the first trigger level.
533First-level triggers are then fast and simple but based only on partial data as not all detector front-ends are readable within the decision latency.
534Higher level triggers are more complex, of finer-but-not-final quality and based on full detector data.
535
536Real triggers are thus intrinsically based on reconstructed data with a worse resolution than final analysis data.
537On the contrary, same data are used in \textsc{Delphes} for trigger emulation and for final analyses.
538
539\section{Validation}
540
541\textsc{Delphes} performs a fast simulation of a collider experiment.
542Its performances in terms of computing time and data size are directly proportional to the number of simulated events and on the considered physics process. As an example, $10,000$ $pp \rightarrow t \bar t X$ events are processed in $110~\textrm{s}$ on a regular laptop and use less than $250~\textrm{MB}$ of disk space.
543The quality and validity of the output are assessed by comparing to resolution of the reconstructed data to the \textsc{cms} detector expectations.
544
545Electrons and muons are by construction equal to the experiment designs, as the Gaussian smearing of their kinematics properties is defined according to their resolutions.
546Similarly, the $b$-tagging efficiency (for real $b$-jets) and misidentification rates (for fake $b$-jets) are taken from the expected values of the experiment.
547Unlike these simple objects, jets and missing transverse energy should be carefully cross-checked.
548
549\subsection{Jet resolution}
550
551The majority of interesting processes at the \textsc{lhc} contain jets in the final state. The jet resolution obtained using \textsc{Delphes} is therefore a crucial point for its validation. Even if \textsc{Delphes} contains six algorithms for jet reconstruction, we use here the jet clustering algorithm (\textsc{jetclu}) with $R=0.7$ to validate the jet collection.
552
553This validation is based on $pp \rightarrow gg$ events produced with \textsc{MadGraph/MadEvent} and hadronised using \textsc{Pythia}~\cite{bib:mgme,bib:pythia}. The events were arranged in $14$ bins of gluon transverse momentum $\hat{p}_T$. In each $\hat{p}_T$ bin, every jet in \textsc{Delphes} is matched to the closest jet of generator-level particles, using the spatial separation between the two jet axes
554\begin{equation}
555\Delta R = \sqrt{ \big(\eta^\textrm{rec} - \eta^\textrm{MC} \big)^2 + \big(\phi^\textrm{rec} - \phi^\textrm{MC} \big)^2}<0.25.
556\end{equation}
557The jets made of generator-level particles, here referred as \textit{MC jets}, are obtained by applying the same clustering algorithm to all particles considered as stable after hadronisation.
558Jets produced by \textsc{Delphes} and satisfying the matching criterion are called hereafter \textit{reconstructed jets}.
559
560The ratio of the transverse energies of every reconstructed jet $E_T^\textrm{rec}$ and its corresponding \textsc{mc} jet $E_T^\textrm{MC}$ is calculated in each $\hat{p}_T$ bin.
561The $E_T^\textrm{rec}/E_T^\textrm{MC}$ histogram is fitted with a Gaussian distribution in the interval \mbox{$\pm 2$~\textsc{rms}} centred around the mean value.
562The resolution in each $\hat{p}_T$ bin is obtained by the fit mean $\langle x \rangle$ and variance $\sigma^2(x)$:
563\begin{equation}
564%\frac{\sigma(R_{jet})}{\langle R_{jet} \rangle }=
565\frac{\sigma \Big (\frac{E_T^{rec}}{E_T^{MC}} \Big)_\textrm{fit}}{ \Big \langle \frac{E_T^{rec}}{E_T^{MC}} \Big \rangle_\textrm{fit}}~
566\Big( \hat{p}_T(i) \Big)\textrm{, for all }i.
567\end{equation}
568
569\begin{figure}[!h]
570\begin{center}
571\includegraphics[width=\columnwidth]{resolutionJet}
572\caption{Resolution of the transverse energy of reconstructed jets $E_T^\textrm{rec}$ as a function of the transverse energy of the closest jet of generator-level particles $E_T^\textrm{MC}$. The maximum separation between the reconstructed and \textsc{mc} jets is $\Delta R= 0.25$. Pink line is the fit result for comparison to the \textsc{cms} resolution~\cite{bib:cmsjetresolution}, in blue.}
573\label{fig:jetresol}
574\end{center}
575\end{figure}
576
577The resulting jet resolution as a function of $E_T^\textrm{MC}$ is shown in Fig.~\ref{fig:jetresol}.
578This distribution is fitted with a function of the following form:
579\begin{equation}
580\frac{a}{E_T^\textrm{MC}}\oplus \frac{b}{\sqrt{E_T^\textrm{MC}}}\oplus c,
581\end{equation}
582where $a$, $b$ and $c$ are the fit parameters.
583It is then compared to the resolution published by the \textsc{cms} collaboration~\cite{bib:cmsjetresolution}. The resolution curves from \textsc{Delphes} and \textsc{cms} are in good agreement.
584
585\subsection{MET resolution}
586
587All major detectors at hadron colliders have been designed to be as much hermetic as possible in order to detect the presence of one or more neutrinos and/or new weakly interacting particles through apparent missing transverse energy.
588The resolution of the $\overrightarrow{E_T}^\textrm{miss}$ variable, as obtained with \textsc{Delphes}, is then crucial.
589
590The samples used to study the \textsc{met} performance are identical to those used for the jet validation.
591It is worth noting that the contribution to $E_T^\textrm{miss}$ from muons is negligible in the studied sample.
592The input samples are divided in five bins of scalar $E_T$ sums $(\Sigma E_T)$. This sum, called \textit{total visible transverse energy}, is defined as the scalar sum of transverse energy in all towers.
593The quality of the \textsc{met} reconstruction is checked via the resolution on its horizontal component $E_x^\textrm{miss}$.
594
595The $E_x^\textrm{miss}$ resolution is evaluated in the following way.
596The distribution of the difference between $E_x^\textrm{miss}$ in \textsc{Delphes} and at generator-level is fitted with a Gaussian function in each $(\Sigma E_T)$ bin. The fit \textsc{rms} gives the \textsc{met} resolution in each bin.
597The resulting value is plotted in Fig.~\ref{fig:resolETmis} as a function of the total visible transverse
598energy.
599
600\begin{figure}[!h]
601\begin{center}
602\includegraphics[width=\columnwidth]{resolutionETmis}
603\caption{$\sigma(E^\textrm{miss}_{x})$ as a function on the scalar sum of all towers ($\Sigma E_T$) for $pp \rightarrow gg$ events.}
604\label{fig:resolETmis}
605\end{center}
606\end{figure}
607
608The resolution $\sigma_x$ of the horizontal component of \textsc{met} is observed to behave like
609\begin{equation}
610\sigma_x = \alpha ~\sqrt{E_T}~~~(\mathrm{GeV}^{1/2}),
611\end{equation}
612where the $\alpha$ parameter depends on the resolution of the calorimeters.
613
614The \textsc{met} resolution expected for the \textsc{cms} detector for similar events is $\sigma_x = (0.6-0.7) ~ \sqrt{E_T} ~ \mathrm{GeV}^{1/2}$ with no pile-up\footnote{\textit{Pile-up} events are extra simultaneous $pp$ collision occurring at high-luminosity in the same bunch crossing.}~\cite{bib:cmsjetresolution}, which compares very well with the $\alpha = 0.68$ obtained with \textsc{Delphes}.
615
616\subsection{\texorpdfstring{$\tau$}{\texttau}-jet efficiency}
617Due to the complexity of their reconstruction algorithm, $\tau$-jets have also to be checked.
618Table~\ref{tab:taurecoefficiency} lists the reconstruction efficiencies for the hadronic $\tau$-jets in the \textsc{cms} experiment and in \textsc{Delphes}. Agreement is good enough to validate also this reconstruction.
619
620\begin{table}[!h]
621\begin{center}
622\caption{Reconstruction efficiencies of $\tau$-jets in decays from $Z$ or $H$ bosons, in \textsc{Delphes} and in the \textsc{cms} experiment~\cite{bib:cmstauresolution}.\vspace{0.5cm}}
623\begin{tabular}{lll}
624\hline
625\multicolumn{2}{c}{\textsc{cms}} & \\
626$Z \rightarrow \tau^+ \tau^-$ & $38 \%$ & \\
627$H \rightarrow \tau^+ \tau^-$ & $36 \%$ & $m_H = 150~\textrm{GeV}/c^2$ \\
628$H \rightarrow \tau^+ \tau^-$ & $47 \%$ & $m_H = 300~\textrm{GeV}/c^2$ \\
629\multicolumn{2}{c}{\textsc{Delphes}} & \\
630$H \rightarrow \tau^+ \tau^-$ &$42 \%$ & $m_H = 140~\textrm{GeV}/c^2$ \\
631\hline
632\end{tabular}
633\label{tab:taurecoefficiency}
634\end{center}
635\end{table}
636
637
638\section{Visualisation}
639
640When performing an event analysis, a visualisation tool is useful to convey information about the detector layout and the event topology in a simple way. The \textit{Fast and Realistic OpenGL Displayer} \textsc{frog}~\cite{bib:Frog} has been interfaced in \textsc{Delphes}, allowing an easy display of the defined detector configuration\footnote{\texttt{[code] } To prepare the visualisation, the \texttt{FLAG\_frog} parameter should be equal to $1$.}.
641
642% \begin{figure}[!h]
643% \begin{center}
644% \includegraphics[width=\columnwidth]{Detector_Delphes_1}
645% \caption{Layout of the generic detector geometry assumed in \textsc{Delphes}. The innermost layer, close to the interaction point, is a central tracking system (pink), embedded into a solenoidal magnetic field.
646% It is surrounded by a central calorimeter volume (green) with both electromagnetic and hadronic sections.
647% The outer layer of the central system (red) consist of a muon system.
648% In addition, two end-cap calorimeters (blue) extend the pseudorapidity coverage of the central detector.
649% The actual detector granularity and extension is defined in the detector card.
650% The detector is assumed to be strictly symmetric around the beam axis (black line).
651% Additional forward detectors are not depicted.}
652% \label{fig:GenDet}
653% \end{center}
654% \end{figure}
655
656Two and three-dimensional representations of the detector configuration can be used for communication purposes, as they clearly illustrate the geometric coverage of the different detector subsystems.
657As an example, the generic detector geometry assumed in this paper is shown in Fig.~\ref{fig:GenDet3}
658%, \ref{fig:GenDet}
659 and~\ref{fig:GenDet2}.
660The extensions of the central tracking system, the central calorimeters and both forward calorimeters are visible.
661Note that only the geometrical coverage is depicted and that the calorimeter segmentation is not taken into account in the drawing of the detector. Moreover, both the radius and the length of each sub-detectors are just display parameters and are not relevant for the physics simulation.
662
663\begin{figure}[!h]
664\begin{center}
665\includegraphics[width=\columnwidth]{Detector_Delphes_2b}
666\caption{Layout of the generic detector geometry assumed in \textsc{Delphes}. Open 3D-view of the detector with solid volumes. Same colour codes as for Fig.~\ref{fig:GenDet3} are applied. Additional forward detectors are not depicted.}
667\label{fig:GenDet2}
668\end{center}
669\end{figure}
670
671Deeper understanding of interesting physics processes is possible by displaying the events themselves.
672The visibility of each set of objects ($e^\pm$, $\mu^\pm$, $\tau^\pm$, jets, transverse missing energy) is enhanced by a colour coding.
673Moreover, kinematics information of each object is visible by a simple mouse action.
674As an illustration, an associated photoproduction of a $W$ boson and a $t$ quark is shown in Fig.~\ref{fig:wt}.
675This corresponds to a $pp(\gamma p \rightarrow Wt)pX$ process, where the $Wt$ couple is induced by an incoming photon emitted by one of the colliding proton~\cite{bib:wtphotoproduction}.
676This leading proton survives after photon emission and is present in the final state.
677As the energy and virtuality of the emitted photon are low, the surviving proton does not leave the beam and escapes from the central detector without being detected.
678The experimental signature is a lack of hadronic activity in the forward hemisphere where the surviving proton escapes.
679The $t$ quark decays into a $W$ boson and a $b$ quark.
680Both $W$ bosons decay into leptons ($W \rightarrow \mu \nu_\mu$ and $W \rightarrow e \nu_e$).
681The balance between the missing transverse energy and the charged lepton pair is clear, as well as the presence of an empty forward region. It is interesting to notice that the reconstruction algorithms build a fake $\tau$-jet around the electron.
682
683\begin{figure}[!h]
684\begin{center}
685%\includegraphics[width=\columnwidth]{Events_Delphes_1}
686\includegraphics[width=\columnwidth]{DisplayWt}
687\caption{Example of $pp(\gamma p \rightarrow Wt)pY$ event display in different orientations, with $t \rightarrow Wb$.
688One $W$ boson decays into a $\mu \nu_\mu$ pair and the second one into a $e \nu_e$ pair.
689The surviving proton leaves a forward hemisphere with no hadronic activity.
690The isolated muon is shown as the dark blue vector.
691Around the electron, in red, is reconstructed a fake $\tau$-jet (green vector surrounded by a blue cone), while the reconstructed missing energy (in grey) is very small. One jet is visible in one forward region, along the beamline axis, opposite to the direction of the escaping proton.}
692\label{fig:wt}
693\end{center}
694\end{figure}
695
696For comparison, Fig.~\ref{fig:gg} depicts an inclusive gluon pair production $pp \rightarrow ggX$.
697The event final state contains more jets, in particular along the beam axis, which is expected as the interacting protons are destroyed by the collision. Two muon candidates and large missing transverse energy are also visible.
698
699\begin{figure}[!h]
700\begin{center}
701%\includegraphics[width=\columnwidth]{Events_Delphes_1}
702\includegraphics[width=\columnwidth]{Displayppgg}
703\caption{Example of inclusive gluon pair production $pp \rightarrow ggX$. Many jets are visible in the event, in particular along the beam axis. Two muons (in blue) are produced and the missing transverse energy is significant in this event (grey vector).}
704\label{fig:gg}
705\end{center}
706\end{figure}
707
708
709\section{Conclusion and perspectives}
710
711% \subsection{version 1}
712% We have described here the major features of the \textsc{Delphes} framework, introduced for the fast simulation of a collider experiment.
713% It has already been used for several phenomenological studies, in particular in photon interactions at the \textsc{lhc}.
714%
715% \textsc{Delphes} takes the output of event generators, in various formats, and yields analysis-object data.
716% The simulation applies the resolutions of central and forward detectors by smearing the kinematical properties of final state particles.
717% It yields tracks in a solenoidal magnetic field and calorimetric towers.
718% Realistic reconstruction algorithms are run, including the \textsc{FastJet} package, to produce collections of $e^\pm$, $\mu^\pm$, jets and $\tau$-jets. $b$-tag and missing transverse energy are also evaluated.
719% The output is validated by comparing to the \textsc{cms} expected performances.
720% A trigger stage can be emulated on the output data.
721% At last, event visualisation is possible through the \textsc{Frog} 3D event display.
722%
723%
724% \textsc{Delphes} has been developped using the parameters of the \textsc{cms} experiment but can be easily extended to \textsc{atlas} and other non-\textsc{lhc} experiments, as at Tevatron or at the \textsc{ilc}. Further developments include a more flexible design for the subdetector assembly and possibly the implementation of an event mixing module for pile-up event simulation.
725%
726%
727% \subsection{version 2}
728We have described here the major features of the \textsc{Delphes} framework, introduced for the fast simulation of a collider experiment. This framework is a tool meant for feasibility studies in phenomenology, gauging the observability of model predictions in collider experiments.
729
730\textsc{Delphes} takes as an input the output of event-generators and yields analysis-object data in the form of \texttt{TTree} in a \textsc{root} file.
731The simulation includes central and forward detectors to produce realistic observables using standard reconstruction algorithms.
732Moreover, the framework allows trigger emulation and 3D event visualisation.
733
734\textsc{Delphes} has been developed using the parameters of the \textsc{cms} experiment but can be easily extended to \textsc{atlas} and other non-\textsc{lhc} experiments, as at Tevatron or at the \textsc{ilc}. Further developments include a more flexible design for the subdetector assembly and possibly the implementation of an event mixing module for pile-up event simulation.
735
736This framework has already been used for several analyses, in particular in photon-induced interactions at the \textsc{lhc}~\cite{bib:wtphotoproduction, bib:papierquisortirajamais, bib:papiersimon}.
737
738
739\section*{Acknowledgements}
740\addcontentsline{toc}{section}{Acknowledgements}
741The authors would like to thank Jer\^ome de Favereau, Christophe Delaere, Muriel Vander Donckt and David d'Enterria for useful discussions and comments, and Loic Quertenmont for support in interfacing \textsc{Frog}. We are also really grateful to Alice Dechambre and Simon de Visscher for being beta testers of the complete package.
742Part of this work was supported by the Belgian Federal Office for Scientific, Technical and Cultural Affairs through the Interuniversity Attraction Pole P6/11.
743
744
745\begin{thebibliography}{99}
746\addcontentsline{toc}{section}{References}
747
748\bibitem{bib:Delphes} \textsc{Delphes}, \href{http://www.fynu.ucl.ac.be/delphes.html}{www.fynu.ucl.ac.be/delphes.html}
749%hepforge:
750\bibitem{bib:stdhep} L.A. Garren, M. Fischler, \\ \href{http://cepa.fnal.gov/psm/stdhep/c++}{cepa.fnal.gov/psm/stdhep/c++}
751\bibitem{bib:lhe} J. Alwall, et al., \textbf{Comput. Phys. Commun.} \href{http://dx.doi.org/10.1016/j.cpc.2006.11.010}{176:300-304,2007}.
752\bibitem{bib:Root} %\textsc{Root}, \textit{An Object Oriented Data Analysis Framework},
753R. Brun, F. Rademakers, Nucl. Inst. \& Meth. in \textbf{Phys. Res. A} \href{http://dx.doi.org/10.1016/S0168-9002(97)00048-X}{389 (1997) 81-86}.
754\bibitem{bib:ExRootAnalysis} %\textit{The} \textsc{ExRootAnalysis} \textit{analysis steering utility},
755P. Demin, (2006), unpublished. Now part of \textsc{MadGraph/MadEvent}.
756\bibitem{bib:cmsjetresolution} The CMS Collaboration, \textbf{CERN/LHCC} \\ \href{http://documents.cern.ch/cgi-bin/setlink?base=lhcc&categ=public&id=lhcc-2006-001}{2006-001}.
757\bibitem{bib:ATLASresolution} The ATLAS Collaboration, \textbf{CERN-OPEN} 2008-020, arXiv:\href{http://arxiv.org/abs/arxiv:0901.0512}{0901.0512v1}[hep-ex].
758\bibitem{bib:Hector} %\textsc{Hector}, \textit{a fast simulator for the transport of particles in beamlines},
759X. Rouby, J. de Favereau, K. Piotrzkowski, \textbf{JINST} \href{http://www.iop.org/EJ/abstract/1748-0221/2/09/P09005}{2 P09005 (2007)}.
760\bibitem{bib:FastJet} %\textit{The} \textsc{FastJet} \textit{package},
761M. Cacciari, G.P. Salam, \textbf{Phys. Lett. B} \href{http://dx.doi.org/10.1016/j.physletb.2006.08.037}{641 (2006) 57}.
762\bibitem{bib:jetclu} %\textsc{cdf} Run I legacy algorithm,
763F. Abe et al. (CDF Coll.), \textbf{Phys. Rev. D} \href{http://link.aps.org/doi/10.1103/PhysRevD.45.1448}{45 (1992) 1448}.
764\bibitem{bib:midpoint} %Run II Jet Physics: Proceedings of the Run II QCD and Weak Boson Physics Workshop,
765G.C. Blazey, et al., arXiv:\href{http://arxiv.org/abs/hep-ex/0005012}{0005012}[hep-ex].
766\bibitem{bib:SIScone} %\textsc{SIScone}, \textit{A practical Seedless Infrared-Safe Cone jet algorithm},
767G.P. Salam, G. Soyez, \textbf{JHEP} \href{http://dx.doi.org/10.1088/1126-6708/2007/05/086}{05 (2007) 086}.
768\bibitem{bib:ktjet} S. Catani, Y.L. Dokshitzer, M.H. Seymour, B.R. Webber, \textbf{Nucl. Phys. B} \href{http://dx.doi.org/10.1016/0550-3213(93)90166-M}{406 (1993) 187}; S.D. Ellis, D.E. Soper, \textbf{Phys. Rev. D} \href{http://link.aps.org/doi/10.1103/PhysRevD.48.3160}{48 (1993) 3160}.
769\bibitem{bib:aachen} Y.L. Dokshitzer, G.D. Leder, S. Moretti, B.R. Webber, \textbf{JHEP} \href{http://dx.doi.org/10.1088/1126-6708/1998/01/011}{08} \href{http://dx.doi.org/10.1088/1126-6708/1998/01/011}{(1997) 001}; M. Wobisch, T. Wengler, arXiv:\href{http://arxiv.org/abs/hep-ph/9907280}{9907280}[hep-ph].
770\bibitem{bib:antikt} %\textit{The anti-kt jet clustering algorithm},
771M. Cacciari, G.P. Salam, G. Soyez, \textbf{JHEP} \href{http://dx.doi.org/10.1088/1126-6708/2008/04/063}{04 (2008) 063}.
772\bibitem{bib:pdg} C. Amsler et al. (Particle Data Group), \textbf{Phys. Lett. B} \href{http://dx.doi.org/10.1016/j.physletb.2008.07.018}{667 (2008) 1}.
773\bibitem{bib:whphotoproduction} S. Ovyn, \textbf{Nucl. Phys. Proc. Suppl.} \href{http://dx.doi.org/10.1016/j.nuclphysbps.2008.07.034}{179-180 (2008) 269-276}.
774\bibitem{bib:mgme} %\textsc{MadGraph/MadEvent v4}, \textit{The New Web Generation},
775J. Alwall, et al., \textbf{JHEP} \href{http://dx.doi.org/10.1088/1126-6708/2007/09/028}{09 (2007) 028}.
776\bibitem{bib:pythia} %\textsc{Pythia 6.4}, \textit{Physics and Manual},
777T. Sjostrand, S. Mrenna, P. Skands, \textbf{JHEP} \href{http://dx.doi.org/10.1088/1126-6708/2006/05/026}{05 (2006) 026}.
778\bibitem{bib:cmstauresolution} %\textit{Study of $\tau$-jet identification in CMS},
779R. Kinnunen, A.N. Nikitenko, \textbf{CMS NOTE} \href{http://cdsweb.cern.ch/record/687274}{1997/002}.
780\bibitem{bib:Frog} L. Quertenmont, V. Roberfroid, \textbf{CMS CR} \href{http://cms.cern.ch/iCMS/jsp/openfile.jsp?type=CR&year=2009&files=CR2009_028.pdf}{2009/028}, arXiv:\href{http://arxiv.org/abs/0901.2718}{0901.2718v1}[hep-ex].
781\bibitem{bib:wtphotoproduction} J. de Favereau de Jeneret, S. Ovyn, \textbf{Nucl. Phys. Proc. Suppl.} \href{http://dx.doi.org/10.1016/j.nuclphysbps.2008.07.040}{179-180 (2008)} \href{http://dx.doi.org/10.1016/j.nuclphysbps.2008.07.040}{277-284}; S. Ovyn, J. de Favereau de Jeneret, \href{http://dx.doi.org/10.1393/ncb/i2008-10684-5}{Nuovo Cimento B}, arXiv:0806.4841[hep-ph].
782
783\bibitem{bib:papierquisortirajamais}J. de Favereau~et~al, \textbf{CP3-08-04} (2008), to be published in EPJ.
784
785%\bibitem{bib:papiersimon} ``Phenomenology of a twisted two-Higgs-doublet model'', Simon de Visscher, Jean-Marc Gerard, Michel Herquet, Vincent Lema\^itre, Fabio Maltoni, to be published.
786\bibitem{bib:papiersimon} S. de Visscher, J.M. Gerard, M. Herquet, V. Lema\^itre, F. Maltoni, arXiv:\href{http://arxiv.org/abs/0904.0705}{0904.0705}[hep-ph].
787
788\bibitem{bib:mcfio} P. Lebrun, L. Garren, Copyright (c) 1994-1995 Universities Research Association, Inc.
789
790
791\end{thebibliography}
792
793\onecolumn
794\appendix
795
796\section{User manual}
797
798The available \texttt{C++}-code is compressed in a zipped tar file which contains everything needed to run the \textsc{Delphes} package, assuming a running \textsc{root} installation. The package includes \texttt{ExRootAnalysis}~\cite{bib:ExRootAnalysis}, \textsc{Hector}~\cite{bib:Hector}, \textsc{FastJet}~\cite{bib:FastJet}, and \textsc{Frog}~\cite{bib:Frog}, as well as the conversion codes to read standard \mbox{\textsc{s}td\textsc{hep}} input files (\texttt{mcfio} and \texttt{stdhep})~\cite{bib:mcfio}.
799In order to visualise the events with the \textsc{Frog} software, a few additional external libraries may be required, as explained in \href{http://projects.hepforge.org/frog/}{http://projects.hepforge.org/frog/}.
800
801\subsection{Getting started}
802
803In order to run \textsc{Delphes} on your system, first download its sources and compile them:\\
804\texttt{wget http://www.fynu.ucl.ac.be/users/s.ovyn/Delphes/files/Delphes\_V\_*.tar.gz}\\
805Replace the \texttt{*} symbol by the proper version number\footnote{Refer to the download page on the \textsc{Delphes} website \href{http://www.fynu.ucl.ac.be/users/s.ovyn/Delphes/download.html}{http://www.fynu.ucl.ac.be/users/s.ovyn/Delphes/download.html}.}.
806
807\begin{quote}
808\begin{verbatim}
809me@mylaptop:~$ tar -xvf Delphes_V_*.tar.gz
810me@mylaptop:~$ cd Delphes_V_*.*
811me@mylaptop:~$ ./genMakefile.tcl > Makefile
812me@mylaptop:~$ make
813\end{verbatim}
814\end{quote}
815Due to the large number of external utilities, the number of printed lines during the compilation can be high. The user should not pay attention to possible warning messages, which are due to the external packages used by \textsc{Delphes}. When compilation is completed, the following message is printed:
816\begin{quote}
817\begin{verbatim}
818me@mylaptop:~$ Delphes has been compiled
819me@mylaptop:~$ Ready to run
820\end{verbatim}
821\end{quote}
822
823\subsection{Running \textsc{Delphes} on your events}
824
825In this sub-appendix, we will explain how to use \textsc{Delphes} to perform a fast simulation of a general-purpose detector on your event files. The first step to use \textsc{Delphes} is to create the list of input event files (e.g. {\verb inputlist.list }). It is important to notice that all the files comprised in the list file should have the same of extension (\texttt{*.hep}, \texttt{*.lhe} or \texttt{*.root}). In the simplest way to run \textsc{Delphes}, you need this input file and you need to specify the name of the output file that will contain the generator-level data (\texttt{GEN} tree), the analysis data objects after reconstruction (\texttt{Analysis} tree), and the results of the trigger emulation (\texttt{Trigger} tree).
826
827\begin{quote}
828\begin{verbatim}
829me@mylaptop:~$ ./Delphes inputlist.list OutputRootFileName.root
830\end{verbatim}
831\end{quote}
832
833\subsubsection{Setting up the configuration}
834
835The program is driven by two datacards (default cards are {\verb data/DetectorCard.dat } and {\verb data/TriggerCard.dat }) which allow the user to choose among a large spectrum of running conditions. Please note that if the user does not provide these datacards, the running will be done using the default parameters defined in the constructor of the class \texttt{RESOLution} (see next). If you choose a different detector or running configuration, you will need to edit the datacards accordingly.
836
837\begin{enumerate}
838\item{\bf The detector card }
839It contains all pieces of information needed to run \textsc{Delphes}:
840\begin{itemize}
841 \item detector parameters, including calorimeter and tracking coverage and resolutions, transverse energy thresholds for object reconstruction and jet algorithm parameters.
842 \item six flags ({\verb FLAG_bfield }, {\verb FLAG_vfd }, {\verb FLAG_RP }, {\verb FLAG_trigger }, {\verb FLAG_frog } and {\verb FLAG_lhco }), should be set in order to configure the magnetic field propagation, the very forward detectors simulation, the use of very forward taggers, the trigger selection, the preparation for \textsc{Frog} display and the creation of an output file in \texttt{*.lhco} text format (respectively).
843 \end{itemize}
844
845If no datacard is provided by the user, the default smearing and running parameters are used:
846\begin{quote}
847\begin{verbatim}
848# Detector extension, in pseudorapidity units (|eta|)
849CEN_max_tracker 2.5 // Maximum tracker coverage
850CEN_max_calo_cen 3.0 // central calorimeter coverage
851CEN_max_calo_fwd 5.0 // forward calorimeter pseudorapidity coverage
852CEN_max_mu 2.4 // muon chambers pseudorapidity coverage
853
854# Energy resolution for electron/photon
855# \sigma/E = C + N/E + S/\sqrt{E}, E in GeV
856ELG_Scen 0.05 // S term for central ECAL
857ELG_Ncen 0.25 // N term for central ECAL
858ELG_Ccen 0.005 // C term for central ECAL
859ELG_Sfwd 2.084 // S term for FCAL
860ELG_Nfwd 0.0 // N term for FCAL
861ELG_Cfwd 0.107 // C term for FCAL
862
863# Energy resolution for hadrons in ecal/hcal/hf
864# \sigma/E = C + N/E + S/\sqrt{E}, E in GeV
865HAD_Shcal 1.5 // S term for central HCAL
866HAD_Nhcal 0. // N term for central HCAL
867HAD_Chcal 0.05 // C term for central HCAL
868HAD_Shf 2.7 // S term for FCAL
869HAD_Nhf 0. // N term for FCAL
870HAD_Chf 0.13 // C term for FCAL
871
872# Muon smearing
873MU_SmearPt 0.01 // transverse momentum Pt in GeV/c
874
875# Tracking efficiencies
876TRACK_ptmin 0.9 // minimal pT
877TRACK_eff 90 // efficiency associated to the tracking (%)
878\end{verbatim}
879\end{quote}
880
881\begin{quote}
882\begin{verbatim}
883# Calorimetric towers
884TOWER_number 40
885### list of the edges of each tower in eta for eta>0 assuming
886###a symmetric detector in eta<0
887### the list starts with the lower edge of the most central tower
888### the list ends with the higher edged of the most forward tower
889### there should be NTOWER+1 values
890TOWER_eta_edges 0. 0.087 0.174 0.261 0.348 0.435 0.522 0.609 0.696 0.783
891 0.870 0.957 1.044 1.131 1.218 1.305 1.392 1.479 1.566 1.653
892 1.740 1.830 1.930 2.043 2.172 2.322 2.500 2.650 2.868 2.950
893 3.125 3.300 3.475 3.650 3.825 4.000 4.175 4.350 4.525 4.700
894 5.000
895
896### list of the tower size in phi (in degrees), assuming that all
897### towers are similar in phi for a given eta value
898### the list starts with the phi-size of the most central tower (eta=0)
899### the list ends with the phi-size of the most forward tower
900### there should be NTOWER values
901TOWER_dphi 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 10
902 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 20 20
903
904# Thresholds for reconstructed objects, in GeV/c
905PTCUT_elec 10.0
906PTCUT_muon 10.0
907PTCUT_jet 20.0
908PTCUT_gamma 10.0
909PTCUT_taujet 10.0
910
911# Charged lepton isolation. Pt and Et in GeV
912ISOL_PT 2.0 //minimal pt of tracks for isolation criteria
913ISOL_Cone 0.5 //Cone for isolation criteria
914ISOL_Calo_ET 2.0 //minimal tower E_T for isolation criteria. 1E99 means "off"
915ISOL_Calo_Cone 0.4 //Cone for calorimetric isolation
916ISOL_Calo_Grid 3 //Grid size (N x N) for calorimetric isolation
917
918# General jet variable
919JET_coneradius 0.7 // generic jet radius
920JET_jetalgo 1 // 1 for Cone algorithm,
921 // 2 for MidPoint algorithm,
922 // 3 for SIScone algorithm,
923 // 4 for kt algorithm
924 // 5 for Cambridge/Aachen algorithm
925 // 6 for anti-kt algorithm
926JET_seed 1.0 // minimum seed to start jet reconstruction, in GeV
927\end{verbatim}
928\end{quote}
929
930\begin{quote}
931\begin{verbatim}
932# Tagging definition
933BTAG_b 40 // b-tag efficiency (%)
934BTAG_mistag_c 10 // mistagging (%)
935BTAG_mistag_l 1 // mistagging (%)
936
937# FLAGS
938FLAG_bfield 1 //1 to run the bfield propagation else 0
939FLAG_vfd 1 //1 to run the very forward detectors else 0
940FLAG_RP 1 //1 to run the very forward detectors else 0
941FLAG_trigger 1 //1 to run the trigger selection else 0
942FLAG_frog 1 //1 to run the FROG event display
943FLAG_lhco 1 //1 to run the LHCO
944
945# In case BField propagation allowed
946TRACK_radius 129 // radius of the BField coverage, in cm
947TRACK_length 300 // length of the BField coverage, in cm
948TRACK_bfield_x 0 // X component of the BField, in T
949TRACK_bfield_y 0 // Y component of the BField, in T
950TRACK_bfield_z 3.8 // Z component of the BField, in T
951
952# Very forward detector extension, in pseudorapidity
953# if allowed
954VFD_min_calo_vfd 5.2 // very forward calorimeter (if any) like CASTOR
955VFD_max_calo_vfd 6.6
956VFD_min_zdc 8.3 // Zero-Degree neutral Calorimeter
957VFD_s_zdc 140 // distance of the ZDC, from the IP, in [m]
958
959#Hector parameters
960RP_220_s 220 // distance of the RP to the IP, in meters
961RP_220_x 0.002 // distance of the RP to the beam, in meters
962RP_420_s 420 // distance of the RP to the IP, in meters
963RP_420_x 0.004 // distance of the RP to the beam, in meters
964RP_beam1Card data/LHCB1IR5_v6.500.tfs // beam optics file, beam 1
965RP_beam2Card data/LHCB2IR5_v6.500.tfs // beam optics file, beam 2
966RP_IP_name IP5 // tag for IP in Hector ; 'IP1' for ATLAS
967
968# In case FROG event display allowed
969NEvents_Frog 100
970
971\end{verbatim}
972\end{quote}
973In general, energies, momenta and masses are expressed in GeV, GeV$/c$, GeV$/c^2$ respectively, and magnetic fields in T.
974Geometrical extension are often referred in terms of pseudorapidity $\eta$, as the detectors are supposed to be symmetric in $\phi$.
975
976\item{\bf The trigger card }
977
978This card contains the definitions of all trigger-bits. Cuts can be applied on the transverse momentum $p_T$ of electrons, muons, jets, $\tau$-jets, photons and the missing transverse energy. The following codes should be used so that \textsc{Delphes} can correctly translate the input list of trigger-bits into selection algorithms:
979
980\begin{quote}
981\begin{tabular}{ll}
982{\it Trigger code} & {\it Corresponding object}\\
983{\verb ELEC_PT } & electron \\
984{\verb IElec_PT } & isolated electron \\
985{\verb MUON_PT } & muon \\
986{\verb IMuon_PT } & isolated muon \\
987{\verb JET_PT } & jet \\
988{\verb TAU_PT } & $\tau$-jet \\
989{\verb ETMIS_PT } & missing transverse energy \\
990{\verb GAMMA_PT } & photon \\
991{\verb Bjet_PT } & $b$-jet \\
992\end{tabular}
993\end{quote}
994
995Each line in the trigger datacard is allocated to exactly one trigger-bit and starts with the name of the corresponding trigger.
996Logical combination of several conditions is also possible. If the trigger-bit requires the presence of multiple identical objects, the order of their $p_T$ thresholds is very important: they must be defined in \textit{decreasing} order. Finally, the different requirements on the objects must be separated by a {\verb && } flag.
997The default trigger card can be found in the data repository of \textsc{Delphes} (\texttt{data/TriggerCard.dat}).
998An example of trigger table consistent with the previous rules is given here:
999\begin{quote}
1000\begin{verbatim}
1001SingleJet >> JET_PT: '200'
1002DoubleElec >> ELEC_PT: '20' && ELEC_PT: '10'
1003SingleElec and Single Muon >> ELEC_PT: '20' && MUON_PT: '15'
1004\end{verbatim}
1005\end{quote}
1006\end{enumerate}
1007
1008\subsubsection{Running the code}
1009
1010First, create the detector and trigger cards (\texttt{data/DetectorCard.dat} and \texttt{data/TriggerCard.dat}). \\
1011Then, create a text file containing the list of input files that will be used by \textsc{Delphes} (with extension \texttt{*.lhe}, \texttt{*.root} or \texttt{*.hep}).
1012To run the code, type the following command (in one line)
1013\begin{quote}
1014\begin{verbatim}
1015me@mylaptop:~$ ./Delphes inputlist.list OutputRootFileName.root
1016 data/DetectorCard.dat data/TriggerCard.dat
1017\end{verbatim}
1018\end{quote}
1019As a reminder, typing the \texttt{./Delphes} command simply displays the correct usage:
1020
1021\begin{quote}
1022\begin{verbatim}
1023me@mylaptop:~$ ./Delphes
1024 Usage: ./Delphes input_file output_file [detector_card] [trigger_card]
1025 input_list - list of files in Ntpl, StdHep of LHEF format,
1026 output_file - output file.
1027 detector_card - Card containing resolution variables for detector simulation (optional)
1028 trigger_card - Card containing the trigger algorithms (optional)
1029\end{verbatim}
1030\end{quote}
1031
1032
1033\subsection{Getting the \textsc{Delphes} information}
1034
1035\subsubsection{Contents of the \textsc{Delphes} ROOT trees}
1036
1037The \textsc{Delphes} output file (\texttt{*.root}) is subdivided into three \textit{trees}, corresponding to generator-level data, analysis-object data and trigger output. These \textit{trees} are structures that organise the output data into \textit{branches} containing data (or \textit{leaves}) related with each others, like the kinematics properties ($E$, $p_x$, $\eta$, $\ldots$) of a given particle.
1038
1039Here is the exhaustive list of \textit{branches} availables in these \textit{trees}, together with their corresponding physical objet and \texttt{ExRootAnalysis} class:
1040\begin{quote}
1041\begin{tabular}{lll}
1042{\bf GEN \textsc{tree}} & &\\
1043~~~Particle & generator particles from \textsc{hepevt} & {\verb GenParticle }\\
1044\multicolumn{3}{l}{}\\
1045{\bf Trigger } & &\\
1046~~~TrigResult & Acceptance of different trigger-bits & {\verb TRootTrigger }\\
1047\multicolumn{3}{l}{}\\
1048{\bf Analysis \textsc{tree}} & & \\
1049~~~Tracks & Collection of tracks & {\verb TRootTracks }\\
1050~~~CaloTower & Calorimetric towers & {\verb TRootCalo }\\
1051~~~Electron & Collection of electrons & {\verb TRootElectron }\\
1052~~~Photon & Collection of photons & {\verb TRootPhoton }\\
1053~~~Muon & Collection of muons & {\verb TRootMuon }\\
1054~~~Jet & Collection of jets & {\verb TRootJet }\\
1055~~~TauJet & Collection of jets tagged as $\tau$-jets & {\verb TRootTauJet }\\
1056~~~ETmis & Transverse missing energy information & {\verb TRootETmis }\\
1057~~~ZDChits & Hits in the Zero Degree Calorimeters & {\verb TRootZdcHits }\\
1058~~~RP220hits & Hits in the first proton taggers & {\verb TRootRomanPotHits }\\
1059~~~FP420hits & Hits in the next proton taggers & {\verb TRootRomanPotHits }\\
1060\end{tabular}
1061\end{quote}
1062The third column shows the names of the corresponding classes to be written in a \textsc{root} tree.
1063All classes except \texttt{TRootTracks}, \texttt{TRootCalo}, \texttt{TRootTrigger}, \texttt{TRootETmis} and \texttt{TRootRomanPotHits} inherit from the class \texttt{TRootParticle} which includes the following data members (stored as \textit{leaves} in \textit{branches} of the \textit{trees}):
1064\begin{quote}
1065\begin{tabular}{ll}
1066\multicolumn{2}{l}{\textbf{Most common leaves}}\\
1067 \texttt{~~~float E; }&\texttt{ // particle energy in GeV }\\
1068 \texttt{~~~float Px; }&\texttt{ // particle momentum vector (x component) in GeV$/c$ }\\
1069 \texttt{~~~float Py; }&\texttt{ // particle momentum vector (y component) in GeV$/c$ }\\
1070 \texttt{~~~float Pz; }&\texttt{ // particle momentum vector (z component) in GeV$/c$ }\\
1071 \texttt{~~~float PT; }&\texttt{ // particle transverse momentum in GeV$/c$ }\\
1072 \texttt{~~~float Eta; }&\texttt{ // particle pseudorapidity }\\
1073 \texttt{~~~float Phi; }&\texttt{ // particle azimuthal angle in rad }\\
1074\end{tabular}
1075\end{quote}
1076
1077In addition to their kinematics, some additional properties are available for specific objects:
1078\begin{quote}
1079\begin{tabular}{ll}
1080\multicolumn{2}{l}{{\bf Leaves in the \texttt{Particle} branch}} \\
1081 \texttt{~~~int PID; }&\texttt{ // particle HEP ID number }\\
1082 \texttt{~~~int Status; }&\texttt{ // particle status }\\
1083 \texttt{~~~int M1; }&\texttt{ // particle 1st mother }\\
1084 \texttt{~~~int M2; }&\texttt{ // particle 2nd mother }\\
1085 \texttt{~~~int D1; }&\texttt{ // particle 1st daughter }\\
1086 \texttt{~~~int D2; }&\texttt{ // particle 2nd daughter }\\
1087 \texttt{~~~float Charge; }&\texttt{ // electrical charge in units of e}\\
1088 \texttt{~~~float T; }&\texttt{ // particle vertex position (t component, in mm$/c$) }\\
1089 \texttt{~~~float X; }&\texttt{ // particle vertex position (x component, in mm) }\\
1090 \texttt{~~~float Y; }&\texttt{ // particle vertex position (y component, in mm) }\\
1091 \texttt{~~~float Z; }&\texttt{ // particle vertex position (z component, in mm) }\\
1092 \texttt{~~~float M; }&\texttt{ // particle mass in GeV$/c^2$}\\
1093\end{tabular}
1094\end{quote}
1095\begin{quote}
1096\begin{tabular}{ll}
1097\multicolumn{2}{l}{\textbf{Additional leaves in \texttt{Electron} and \texttt{Muon} branches}} \\
1098 \texttt{~~~int Charge } &\texttt{ // particle Charge }\\
1099 \texttt{~~~bool IsolFlag } &\texttt{ // stores the result of the tracking isolation test }\\
1100 \texttt{~~~float EtaCalo } &\texttt{ // particle pseudorapidity when entering the calo }\\
1101 \texttt{~~~float PhiCalo } &\texttt{ // particle azimuthal angle in rad when entering the calo }\\
1102 \texttt{~~~float EHoverEE }&\texttt{ // hadronic energy over electromagnetic energy }\\
1103 \texttt{~~~float EtRatio } &\texttt{ // calo Et in NxN-tower grid around the muon over the muon Et }\\
1104\end{tabular}
1105\end{quote}
1106\begin{quote}
1107\begin{tabular}{ll}
1108\multicolumn{2}{l}{\textbf{Additional leaf in the \texttt{Jet} branch}} \\
1109 \texttt{~~~bool Btag } &\texttt{ // stores the result of the b-tagging }\\
1110 \texttt{~~~int NTracks }&\texttt{ // number of tracks associated to the jet }\\
1111 \texttt{~~~float EHoverEE }&\texttt{ // hadronic energy over electromagnetic energy }\\
1112\end{tabular}
1113\end{quote}
1114\begin{quote}
1115\begin{tabular}{ll}
1116\multicolumn{2}{l}{\textbf{Additional leaves in the \texttt{ZDChits} branch}}\\
1117 \texttt{~~~float T } &\texttt{ // time of flight in s }\\
1118 \texttt{~~~int side }&\texttt{ // -1 or +1 }
1119\end{tabular}
1120\end{quote}
1121\begin{quote}
1122\begin{tabular}{ll}
1123\multicolumn{2}{l}{\textbf{Leaves in the \texttt{Tracks} branch}}\\
1124 \texttt{~~~float Eta } &\texttt{ // pseudorapidity at the beginning of the track }\\
1125 \texttt{~~~float Phi } &\texttt{ // azimuthal angle at the beginning of the track }\\
1126 \texttt{~~~float EtaOuter }&\texttt{ // pseudorapidity at the end of the track }\\
1127 \texttt{~~~float PhiOuter }&\texttt{ // azimuthal angle at the end of the track }\\
1128 \texttt{~~~float PT } &\texttt{ // track transverse momentum in GeV$/c$ }\\
1129 \texttt{~~~float E } &\texttt{ // track energy in GeV }\\
1130 \texttt{~~~float Px } &\texttt{ // track momentum vector (x component) in GeV$/c$ }\\
1131 \texttt{~~~float Py } &\texttt{ // track momentum vector (x component) in GeV$/c$ }\\
1132 \texttt{~~~float Pz } &\texttt{ // track momentum vector (x component) in GeV$/c$ }\\
1133 \texttt{~~~float Charge } &\texttt{ // track charge }\\
1134\end{tabular}
1135\end{quote}
1136\begin{quote}
1137\begin{tabular}{ll}
1138\multicolumn{2}{l}{\textbf{Leaves in the \texttt{CaloTower} branch}}\\
1139 \texttt{~~~float Eta } &\texttt{ // pseudorapidity of the tower }\\
1140 \texttt{~~~float Phi } &\texttt{ // azimuthal angle of the tower in rad }\\
1141 \texttt{~~~float E } &\texttt{ // tower energy in GeV }\\
1142 \texttt{~~~float E\_em } &\texttt{ // electromagnetic component of the tower energy in GeV}\\
1143 \texttt{~~~float E\_had } &\texttt{ // hadronic component of the tower energy in GeV}\\
1144 \texttt{~~~float ET } &\texttt{ // tower transverse energy in GeV }\\
1145& \\
1146\multicolumn{2}{l}{\textbf{Leaves in the \texttt{ETmis} branch}}\\
1147 \texttt{~~~float Phi } &\texttt{ // azimuthal angle of the transverse missing energy in rad }\\
1148 \texttt{~~~float ET } &\texttt{ // transverse missing energy in GeV }\\
1149 \texttt{~~~float Px } &\texttt{ // x component of the transverse missing energy in GeV }\\
1150 \texttt{~~~float Py } &\texttt{ // y component of the transverse missing energy in GeV }\\
1151\end{tabular}
1152\end{quote}
1153
1154\subsection{Running an analysis on your \textsc{Delphes} events}
1155
1156To analyse the \textsc{root} ntuple produced by \textsc{Delphes}, the simplest way is to use the {\verb Analysis_Ex.cpp } code which is coming in the {\verb Examples } repository of \textsc{Delphes}. Note that all of this is optional and done to facilitate the analyses, as the output from \textsc{Delphes} is viewable with the standard \textsc{root} \texttt{TBrowser} and can be analysed using the \texttt{MakeClass} facility.
1157As an example, here is a simple overview of a \texttt{myoutput.root} file created by \textsc{Delphes}:
1158\begin{quote}
1159\begin{verbatim}
1160me@mylaptop:~$ root -l myoutput.root
1161root [0]
1162Attaching file myoutput.root as _file0...
1163root [1] .ls
1164TFile** myoutput.root
1165 TFile* myoutput.root
1166 KEY: TTree GEN;1 Analysis tree
1167 KEY: TTree Analysis;1 Analysis tree
1168 KEY: TTree Trigger;1 Analysis tree
1169root [2] TBrowser t;
1170root [3] Analysis->GetEntries()
1171(const Long64_t)200
1172root [4] GEN->GetListOfBranches()->ls()
1173OBJ: TBranchElement Event Event_ : 0 at: 0x9108f30
1174OBJ: TBranch Event_size Event_size/I : 0 at: 0x910cfd0
1175OBJ: TBranchElement Particle Particle_ : 0 at: 0x910c6b0
1176OBJ: TBranch Particle_size Particle_size/I : 0 at: 0x9111c58
1177root [5] Trigger->GetListOfLeaves()->ls()
1178OBJ: TLeafElement TrigResult_ TrigResult_ : 0 at: 0x90f90a0
1179OBJ: TLeafElement TrigResult.Accepted Accepted[TrigResult_] : 0 at: 0x90f9000
1180OBJ: TLeafI TrigResult_size TrigResult_size : 0 at: 0x90fb860
1181\end{verbatim}
1182\end{quote}
1183The \texttt{.ls} command lists the current keys available and in particular the three \textit{tree} names.
1184\mbox{\texttt{TBrowser t}} launches a browser and the \texttt{GetEntries()} method outputs the number of data in the corresponding \textit{tree}.
1185The list of \textit{branches} or \textit{leaves} can be displayed with the \texttt{GetListOfBranches()} and \texttt{GetListOfLeaves()} methods, pointing to the \texttt{ls()} one. In particular, it is possible to shown only parts of the output, using wildcard characters (\texttt{*}):
1186\begin{quote}
1187\begin{verbatim}
1188root [6] Analysis->GetListOfLeaves()->ls("*.E")
1189OBJ: TLeafElement Jet.E E[Jet_] : 0 at: 0xa08bc68
1190OBJ: TLeafElement TauJet.E E[TauJet_] : 0 at: 0xa148910
1191OBJ: TLeafElement Electron.E E[Electron_] : 0 at: 0xa1d8a50
1192OBJ: TLeafElement Muon.E E[Muon_] : 0 at: 0xa28ac80
1193OBJ: TLeafElement Photon.E E[Photon_] : 0 at: 0xa33cd88
1194OBJ: TLeafElement Tracks.E E[Tracks_] : 0 at: 0xa3cced0
1195OBJ: TLeafElement CaloTower.E E[CaloTower_] : 0 at: 0xa4ba188
1196OBJ: TLeafElement ZDChits.E E[ZDChits_] : 0 at: 0xa54a3c8
1197OBJ: TLeafElement RP220hits.E E[RP220hits_] : 0 at: 0xa61e648
1198OBJ: TLeafElement FP420hits.E E[FP420hits_] : 0 at: 0xa6d0920
1199\end{verbatim}
1200\end{quote}
1201
1202To draw a particular leaf, either double-click on the corresponding name in the \texttt{TBrowser} or use the \texttt{Draw} method of the corresponding \textit{tree}.
1203\begin{quote}
1204\begin{verbatim}
1205root [7] Trigger->Draw("TrigResult.Accepted");
1206\end{verbatim}
1207\end{quote}
1208Mathematical operations on several \textit{leaves} are possible within a given \textit{tree}:
1209\begin{quote}
1210\begin{verbatim}
1211root [8] Analysis->Draw("Muon.Px * Muon.Px");
1212root [9] Analysis->Draw("sqrt(pow(Muon.E,2) - pow(Muon.Pz,2) + pow(Muon.PT,2))");
1213\end{verbatim}
1214\end{quote}
1215Finally, to prepare an deeper analysis, the \texttt{MakeClass} method is useful:
1216\begin{quote}
1217\begin{verbatim}
1218root [10] Trigger->MakeClass()
1219Info in <TTreePlayer::MakeClass>: Files: Trigger.h and
1220 Trigger.C generated from TTree: Trigger
1221\end{verbatim}
1222\end{quote}
1223
1224To run the \texttt{Examples/Analysis\_Ex.cpp} code, the two following arguments are required: a text file containing the input \textsc{Delphes} \textsc{root} files to run, and the name of the output \textsc{root} file.
1225 \begin{quote}
1226\begin{verbatim}
1227me@mylaptop:~$ ./Analysis_Ex input_file.list output_file.root
1228\end{verbatim}
1229 \end{quote}
1230
1231\subsubsection{Adding the trigger information}
1232The \texttt{Examples/Trigger\_Only.cpp} code permits to run the trigger selection separately from the general detector simulation on output \textsc{Delphes} root files. A \textsc{Delphes} root file is mandatory as an input argument for the \texttt{Trigger\_Only} routine. The new \textit{tree} containing the trigger result data will be appended to this file.
1233The trigger datacard is also necessary. To run the code:
1234 \begin{quote}
1235\begin{verbatim}
1236me@mylaptop:~$ ./Trigger_Only input_file.root data/TriggerCard.dat
1237\end{verbatim}
1238 \end{quote}
1239
1240\subsection{Running the FROG event display}
1241
1242\begin{itemize}
1243\item If the { \verb FLAG_frog } was switched on in the smearing card, two files have been created during the running of \textsc{Delphes}: {\verb DelphesToFrog.vis } and {\verb DelphesToFrog.geom }. They contain all the needed pieces of information to run \textsc{frog}.
1244\item To display the events and the geometry, you first need to compile \textsc{Frog}. Go to the {\verb Utilities/FROG } and type {\verb make }. This compilation is done once for all, with this geometry (i.e. as long as the \texttt{*vis} and \texttt{*geom} files do not change).
1245\item Go back into the main directory and type
1246\begin{quote}
1247\texttt{me@mylaptop:~\$ ./Utilities/FROG/frog}
1248\end{quote}
1249\end{itemize}
1250
1251\subsection{LHCO file format}
1252 The \texttt{*lhco} file format is a text-\textsc{ascii} data format briefly discussed here. An exhaustive description is provided on \href{http://v1.jthaler.net/olympicswiki}{http://v1.jthaler.net/olympicswiki}. This section is based on this webpage.
1253Only final high-level objects are available in the \texttt{lhco} format, and their properties are arranged in columns. Each row corresponds to an object in the event and all events are written after each other. Comment-lines starts with a hash \texttt{\#} symbol.
1254
1255\begin{verbatim}
1256 # typ eta phi pt jmas ntrk btag had/em dum1 dum2
1257 0 57 0
1258 1 0 1.392 -2.269 19.981 0.000 0.000 0.000 4.605 0.000 0.000
1259 2 3 1.052 2.599 29.796 3.698 -1.000 0.000 0.320 0.000 0.000
1260 3 4 1.542 -2.070 84.308 41.761 7.000 0.000 1.000 0.000 0.000
1261 4 4 1.039 0.856 58.992 34.941 1.000 0.000 1.118 0.000 0.000
1262 5 4 1.052 2.599 29.796 3.698 0.000 0.000 0.320 0.000 0.000
1263 6 4 0.431 -2.190 22.631 3.861 0.000 0.000 1.000 0.000 0.000
1264 7 6 0.000 0.845 62.574 0.000 0.000 0.000 0.000 0.000 0.000
1265\end{verbatim}
1266Each row in an event starts with a unique number (i.e. in first column).
1267Row \texttt{0} contains the event number (here: \texttt{57}) and some trigger information (here: \texttt{0}. This very particular trigger encoding is not implemented in \textsc{Delphes}.).
1268Subsequent rows list the reconstructed high-level objects.
1269Each row is organised in columns, which details the object kinematics as well as more specific information, such as isolation criteria or $b$-tagging.
1270
1271\paragraph{1st column (\texttt{\#})}
1272The first column is the line number in the event. Each event starts with a 0 and contains as many lines as needed to list all high-level objects.
1273
1274\paragraph{2nd column (\texttt{typ})}
1275The second column gives the object identification code, or \textit{type}.
1276The different object types are:\\
1277\begin{tabular}{ll}
1278 \texttt{0}& for a photon ($\gamma$)\\
1279 \texttt{1}& for an electron ($e^\pm$)\\
1280 \texttt{2}& for a muon ($\mu^\pm$)\\
1281 \texttt{3}& for a hadronically-decaying tau ($\tau$-jet)\\
1282 \texttt{4}& for a jet\\
1283 \texttt{6}& for a missing transverse energy ($E_T^\textrm{miss}$)\\
1284\end{tabular}\\
1285Object type \texttt{5} is not defined.
1286An event always ends with the row corresponding to the missing transverse energy (type \texttt{6}).
1287
1288\paragraph{3rd (\texttt{eta}) and 4th (\texttt{phi}) columns}
1289The third and forth columns gives the object pseudorapidity $\eta$ and azimuth $\phi$. This latter quantity is expressed in radians, ranging from $-\pi$ to $\pi$.
1290
1291\paragraph{5th (\texttt{pt}) and 6th (\texttt{jmass}) columns}
1292The fifth column provides the object transverse momentum ($p_T$ in GeV$/c$) or energy ($E_T$ in GeV), while the invariant mass ($M$ in GeV/$c^2$) is in the sixth column.
1293
1294\paragraph{7th column (\texttt{ntrk})}
1295The seventh column reports the total number of tracks associated to the objects. This is \texttt{0} for photons, \texttt{$\pm$ 1} for charged leptons including taus (where the sign reports the lepton measured charge) and a positive number (\texttt{$\geq$ 0}) for jets.
1296
1297\paragraph{8th column (\texttt{btag})}
1298The eighth column tells whether a jet is tagged as a $b$-jet (\texttt{1}) or not (\texttt{0}).
1299This is always \texttt{0} for electrons, photons and missing transverse energy.
1300For muons, the closest jet in searched for, in terms of $\Delta R$. The integer-part of the quoted number is the row-number (column 1) of this jet.
1301
1302\paragraph{9th column (\texttt{had/em})}
1303For jets, electrons and photons, the ninth column is the ration between hadronic and electromagnetic energies in the calorimetric towers associated to the object. This is always \texttt{0} for missing transverse energy.
1304For muons, this number (\texttt{aaa.bb}) reports two values related to the muon isolation (section \ref{sec:isolation}). The integer part (\texttt{aaa}) is transverse momentum sum $P_T$ (in GeV/$c$) and the fractional part (\texttt{bb}) is the energy ratio $\rho_\mu$.
1305
1306
1307\paragraph{10th and 11th columns (\texttt{dum1} and \texttt{dum2})}
1308The last two columns are currently not used.
1309
1310\paragraph{Warning}
1311Inherently to the data format itself, the \texttt{*lhco} output contains only a fraction of the available data. Moreover, dealing with text file may have various drawbacks, such as the output file size and the time needed for its creation. Whenever possible, working on the \texttt{*root} output file should be preferred.
1312
1313\end{document}
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