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Changeset 517 in svn


Ignore:
Timestamp:
Jul 27, 2009, 5:00:14 PM (15 years ago)
Author:
Xavier Rouby
Message:

new section on forward detectors

Location:
trunk/paper
Files:
5 edited

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  • trunk/paper/CommPhysComp/notes.tex

    r516 r517  
    189189\end{table*}
    190190
    191 \begin{figure}[!h]
     191\begin{figure}[!ht]
    192192\begin{center}
    193193%\includegraphics[width=\columnwidth]{Detector_Delphes_3}
     
    285285As 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.
    286286
    287 \begin{figure}[!h]
     287\begin{figure}[!ht]
    288288\begin{center}
    289289%\includegraphics[width=\columnwidth]{calosegmentation}
     
    296296The 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.
    297297
    298 \subsection{Very forward detectors simulation}
    299 
    300 Most 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.
    301 Zero 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}).
    302 Forward 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}).
    303 
    304 \begin{figure}[!h]
     298\subsection{Very forward detector simulation}
     299
     300Most 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. In \textsc{Delphes}, Zero Degree Calorimeters, roman pots and forward taggers have been implemented (Fig.~\ref{fig:fdets}).
     301
     302\begin{figure}[!ht]
    305303\begin{center}
    306304%\includegraphics[width=\columnwidth]{fdets}
    307305\includegraphics[width=\columnwidth]{fig4}
    308306\caption{Default location of the very forward detectors, including \textsc{zdc}, \textsc{rp220} and \textsc{fp420} in the \textsc{lhc} beamline.
    309 Incoming (red) and outgoing (black) beams on one side of the interaction point ($s=0~\textrm{m}$).
     307Incoming (beam 1, red) and outgoing (beam 2, black) beams on one side of the fifth interaction point (\textsc{ip}5, $s=0~\textrm{m}$ on the plot).
    310308The 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}~\citep{bib:Hector}.}
    311309\label{fig:fdets}
     
    317315\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.
    318316The tagger acceptance is fully determined by the distance in the transverse plane of the detector to the real beam position~\citep{bib:Hector}. It is expressed in terms of the particle energy ($E$).
     317All detectors are located on both sides of the interaction point.
    319318\vspace{0.5cm}}
    320319\begin{tabular}{llcl}
    321320\hline
    322321Detector & Distance from \textsc{ip}& Acceptance & \\ \hline
    323 \textsc{zdc}   & $140$ m & $|\eta|> 8.3$       & for $n$ and $\gamma$\\
    324 \textsc{rp220} & $220$ m & $E \in [6100 ; 6880]$ (GeV) & at $2~\textrm{mm}$\\
    325 \textsc{fp420} & $420$ m & $E \in [6880 ; 6980]$ (GeV) & at $4~\textrm{mm}$\\
     322\textsc{zdc}   & $\pm 140$ m & $|\eta|> 8.3$       & for $n$ and $\gamma$\\
     323\textsc{rp220} & $\pm 220$ m & $E \in [6100 ; 6880]$ (GeV) & at $2~\textrm{mm}$\\
     324\textsc{fp420} & $\pm 420$ m & $E \in [6880 ; 6980]$ (GeV) & at $4~\textrm{mm}$\\
    326325\hline
    327326\end{tabular}
     
    331330
    332331
    333 While 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~\citep{bib:Hector}, which includes the chromaticity effects and the geometrical aperture of the beamline elements of any arbitrary collider.
    334 
    335 Some subdetectors have the ability to measure the time of flight of the particle.
    336 This 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
     332\subsubsection*{Zero Degree Calorimeters}
     333
     334In direct sight of the interaction point, on both sides of the central detector, the Zero Degree Calorimeters (\textsc{zdc}s) are located at zero angle, i.e.\ are aligned with the beamline axis at the interaction point. They are placed beyond the point where the paths of incoming and outgoing beams separate. 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}).
     335
     336The trajectory of the neutrals observed in the \textsc{zdc}s is a straight line, while charged particles are deflected away from their acceptance window by the powerful magnets located in front of them. The fact that additional charged particles may enter the \textsc{zdc} acceptance is neglected here.
     337
     338The \textsc{zdc}s have the ability to measure the time-of-flight of the particle.
     339This 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 measured time-of-flight $t$ is simply given by:
    337340\begin{equation}
    338341 t = t_0 + \frac{1}{v} \times \Big( \frac{s-z}{\cos \theta}\Big),
    339342\end{equation}
    340 where $t$ 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 $1 - \cos \theta < 10^{-4}$.
     343where $t_0$ is thus 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, $\theta$ is the particle emission angle. It is then assumed 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 $1 - \cos \theta < 10^{-4}$.
    341344The formula then reduces to
    342345\begin{equation}
    343  t = \frac{1}{c} \times (s-z)
     346 t = \frac{1}{c} \times (s-z).
    344347\end{equation}
    345 For 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}. The \textsc{zdc}s are composed of an electromagnetic and a hadronic sections, for the measurement of photons and neutrons, respectively. The energy of the observed neutral is smeared according to Eq.~\ref{eq:caloresolution} and the section resolutions (Tab.~\ref{tab:defResolZdc}). The \textsc{zdc} hits do not enter in the calorimeter tower list used for reconstruction of jets and missing transverse energy.
     348For example, a photon takes $0.47~\mu\textrm{s}$ to reach a \textsc{zdc} located at $s=140~\textrm{m}$, neglecting $z$ and $\theta$. For the time-of-flight measurement, a Gaussian smearing can be applied according to the detector resolution (Tab.~\ref{tab:defResolZdc}). In the current version of \textsc{Delphes}, only neutrons, antineutrons and photons are assumed to be able to reach the \textsc{zdc}s, all other particles being neglected.
     349
     350The \textsc{zdc}s are composed of an electromagnetic and a hadronic sections, for the measurement of photons and neutrons, respectively. The energy of the observed neutral is smeared according to Eq.~\ref{eq:caloresolution} and the corresponding section resolutions (Tab.~\ref{tab:defResolZdc}). The \textsc{zdc} hits do not enter in the calorimeter tower list used for reconstruction of jets and missing transverse energy.
    346351
    347352\begin{table}[!h]
    348353\begin{center}
    349 \caption{Default values for the resolution of the zero degree calorimeters. Resolution is parametrised by the \textit{stochastic} ($S$), \textit{noise} ($N$) and \textit{constant} ($C$) terms (Eq.~\ref{eq:caloresolution}).
     354\caption{Default values for the resolution of the zero degree calorimeters. Resolution on energy measurement is parametrised by the \textit{stochastic} ($S$), \textit{noise} ($N$) and \textit{constant} ($C$) terms (Eq.~\ref{eq:caloresolution}). The time-of-flight is smeared according to a Gaussian function.
    350355The corresponding parameter name, in the detector card, is given. \vspace{0.5cm}}
    351356\begin{tabular}[!h]{lllc}
     
    353358\multicolumn{2}{c}{Resolution Term}   & Card flag & Value\\\hline
    354359 \multicolumn{4}{l}{\textsc{zdc}, electromagnetic part} \\
    355         & $S$ (GeV$^{1/2}$)& {\verb ELG_Szdc }  & $0.7$ \\
    356         & $N$ (GeV)& {\verb ELG_Nzdc }  & $0.0$ \\
    357         & $C$ & {\verb ELG_Czdc }  & $0.08$ \\
     360        & $S$ (GeV$^{1/2}$)& \texttt{ELG\_Szdc}  & $0.7$ \\
     361        & $N$ (GeV)& \texttt{ELG\_Nzdc}  & $0.0$ \\
     362        & $C$ & \texttt{ELG\_Czdc}  & $0.08$ \\
    358363 \multicolumn{4}{l}{\textsc{zdc}, hadronic part} \\
    359         & $S$ (GeV$^{1/2}$)& {\verb HAD_Szdc }   & $1.38$\\
    360         & $N$ (GeV)& {\verb HAD_Nzdc }   & $0$ \\
    361         & $C$ & {\verb HAD_Czdc }   & $0.13$\\
     364        & $S$ (GeV$^{1/2}$)& \texttt{HAD\_Szdc}   & $1.38$\\
     365        & $N$ (GeV)& \texttt{HAD\_Nzdc}   & $0$ \\
     366        & $C$ & \texttt{HAD\_Czdc}   & $0.13$\\
     367 \multicolumn{4}{l}{\textsc{zdc}, timing resolution} \\
     368        & $\sigma_t$ (s) & \texttt{ZDC\_T\_resolution} & $0$ \\
    362369\hline
    363370\end{tabular}
     
    366373\end{table}
    367374
     375\subsubsection*{Forward taggers}
     376
     377Forward 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. Such devices, also used at \textsc{hera} and \textsc{Tevratron}, are located very far away from the interaction point (further than $150$~m in the \textsc{lhc} case).
     378
     379To be able to reach these detectors, particles must have a charge identical to the beam particles, and a momentum very close to the nominal value of 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}).
     380For instance, roman pots at $220~\textrm{m}$ from the  \textsc{ip} and $2~\textrm{mm}$ from the beam will detect all forward protons with an energy between $120$ and $900~\textrm{GeV}$~\citep{bib:Hector}.
     381In practice, in the \textsc{lhc}, only positively charged muons ($\mu^+$) and protons can reach the forward taggers as other particles with a single positive charge coming from the interaction points will decay before their possible tagging. In \textsc{Delphes}, extra hits coming from the beam-gas events or secondary particles hitting the beampipe in front of the detectors are not taken into account.
     382
     383While 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~\citep{bib:Hector}, which includes the chromaticity effects and the geometrical aperture of the beamline elements of any arbitrary collider.
     384
     385Forward taggers are able to measure the hit positions ($x,y$) and angles ($\theta_x,\theta_y$) in the transverse plane at the location of the detector ($s$ meters away from the \textsc{ip}), as well as the time-of-flight\footnote{It should be noted that for both \textsc{cms} and \textsc{atlas} experiments, the taggers located at $220$~m are not able to measure the time-of-flight, contrary to \textsc{fp}420 detectors.} ($t$). Out of these the particle energy ($E$) and the momentum transfer it underwent during the interaction ($q^2$) can be reconstructed\footnote{The reconstruction of $E$ and $q^2$ are not implemeted in \textsc{Delphes} but can be performed at the analysis level.}.
    368386
    369387
     
    502520\end{table}
    503521
    504 \begin{figure}[!h]
     522\begin{figure}[!ht]
    505523\begin{center}
    506524%\includegraphics[width=0.6\columnwidth]{Tau}
     
    541559A large fraction of the jet energy is expected in this small cone. This fraction, or \textit{collimation factor}, is represented in Fig.~\ref{fig:tau2} for the default values (see Tab.~\ref{tab:tauRef}).
    542560
    543 \begin{figure}[!h]
     561\begin{figure}[!ht]
    544562\begin{center}
    545563%\includegraphics[width=\columnwidth]{Tau2}
     
    560578
    561579
    562 \begin{figure}[!h]
     580\begin{figure}[!ht]
    563581\begin{center}
    564582%\includegraphics[width=\columnwidth]{Tau1}
     
    652670\end{equation}
    653671 
    654 \begin{figure}[!h]
     672\begin{figure}[!ht]
    655673\begin{center}
    656674%\includegraphics[width=\columnwidth]{resolutionJet}
     
    677695Figure~\ref{fig:jetresolatlas} shows a good agreement between the resolution obtained with \textsc{Delphes}, the result of the fit with Equation~\ref{eq:fitresolution} and the corresponding curve provided by the \textsc{atlas} collaboration~\citep{bib:ATLASresolution}.
    678696
    679 \begin{figure}[!h]
     697\begin{figure}[!ht]
    680698\begin{center}
    681699\includegraphics[width=\columnwidth]{fig9}
     
    701719energy, for \textsc{cms}- and \textsc{atlas}-like detectors.
    702720 
    703 \begin{figure}[!h]
     721\begin{figure}[!ht]
    704722\begin{center}
    705723%\includegraphics[width=\columnwidth]{resolutionETmis}
     
    755773When 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}~\citep{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 $1$.}.
    756774 
    757 % \begin{figure}[!h]
     775% \begin{figure}[!ht]
    758776% \begin{center}
    759777% \includegraphics[width=\columnwidth]{Detector_Delphes_1}
     
    776794Note 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.
    777795 
    778 \begin{figure}[!h]
     796\begin{figure}[!ht]
    779797\begin{center}
    780798%\includegraphics[width=\columnwidth]{Detector_Delphes_2b}
     
    797815The 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.
    798816
    799 \begin{figure}[!h]
     817\begin{figure}[!ht]
    800818\begin{center}
    801819%%\includegraphics[width=\columnwidth]{Events_Delphes_1}
     
    814832The 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.
    815833
    816 \begin{figure}[!h]
     834\begin{figure}[!ht]
    817835\begin{center}
    818836%%\includegraphics[width=\columnwidth]{Events_Delphes_1}
     
    13331351\begin{tabular}{ll}
    13341352\multicolumn{2}{l}{\textbf{Additional leaves in the \texttt{ZDChits} branch (\texttt{Analysis} tree)}}\\
    1335    \texttt{~~~int hadronic\_hit } &\texttt{ // 0(is not hadronic) or 1(is hadronic) }
     1353   \texttt{~~~int hadronic\_hit} &\texttt{// 0(is not hadronic) or 1(is hadronic) }
    13361354\end{tabular}
    13371355\end{quote}
     
    14201438\end{verbatim}
    14211439\end{quote}
    1422 For more information, refer to ROOT documentation. Moreover, an example of code (based on the output of \begin{verbatim}MakeClass\end{verbatim}) is provided in the \texttt{Examples/} directory.
     1440For more information, refer to ROOT documentation. Moreover, an example of code (based on the output of \texttt{MakeClass}) is provided in the \texttt{Examples/} directory.
    14231441
    14241442To 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.
  • trunk/paper/TODO

    r342 r517  
    1414les balises LaTeX \langle et \rangle
    1515 
    16 Figure 9:
    17 * je ne suis pas d'accord avec le titre de l'axe Y. Selon moi, c'est un
    18 biais, pas une résolution. Voir aussi les footnotes 16 et 17
    19 * il faut changer l'axe X en $(\Sigma E_T)$
    20 * if faut changer la formule du fit qui est affichée sur le plot: il
    21 manque le #Sigma dedans!
    22 
    23 
    24 
    2516Quelle est l'efficacité pour les taus? 39% ou 60%?
    2617* dis nulle part on ne parle dans la note du fait que les convertisseur existent "seul"
  • trunk/paper/notes.tex

    r516 r517  
    256256The 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.
    257257
    258 \subsection{Very forward detectors simulation}
    259 
    260 Most 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.
    261 Zero 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}).
    262 Forward 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}).
    263 
    264 \begin{figure}[!h]
     258\subsection{Very forward detector simulation}
     259
     260Most 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. In \textsc{Delphes}, Zero Degree Calorimeters, roman pots and forward taggers have been implemented (Fig.~\ref{fig:fdets}).
     261
     262\begin{figure}[!ht]
    265263\begin{center}
    266264\includegraphics[width=\columnwidth]{fdets}
     265%\includegraphics[width=\columnwidth]{fig4}
    267266\caption{Default location of the very forward detectors, including \textsc{zdc}, \textsc{rp220} and \textsc{fp420} in the \textsc{lhc} beamline.
    268 Incoming (red) and outgoing (black) beams on one side of the interaction point ($s=0~\textrm{m}$).
     267Incoming (beam 1, red) and outgoing (beam 2, black) beams on one side of the fifth interaction point (\textsc{ip}5, $s=0~\textrm{m}$ on the plot).
    269268The 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}.}
    270269\label{fig:fdets}
     
    276275\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.
    277276The 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 ($E$).
     277All detectors are located on both sides of the interaction point.
    278278\vspace{0.5cm}}
    279279\begin{tabular}{llcl}
    280280\hline
    281281Detector & Distance from \textsc{ip}& Acceptance & \\ \hline
    282 \textsc{zdc}   & $140$ m & $|\eta|> 8.3$       & for $n$ and $\gamma$\\
    283 \textsc{rp220} & $220$ m & $E \in [6100 ; 6880]$ (GeV) & at $2~\textrm{mm}$\\
    284 \textsc{fp420} & $420$ m & $E \in [6880 ; 6980]$ (GeV) & at $4~\textrm{mm}$\\
     282\textsc{zdc}   & $\pm 140$ m & $|\eta|> 8.3$       & for $n$ and $\gamma$\\
     283\textsc{rp220} & $\pm 220$ m & $E \in [6100 ; 6880]$ (GeV) & at $2~\textrm{mm}$\\
     284\textsc{fp420} & $\pm 420$ m & $E \in [6880 ; 6980]$ (GeV) & at $4~\textrm{mm}$\\
    285285\hline
    286286\end{tabular}
     
    290290
    291291
    292 While 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.
    293 
    294 Some subdetectors have the ability to measure the time of flight of the particle.
    295 This 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
     292\subsubsection*{Zero Degree Calorimeters}
     293
     294In direct sight of the interaction point, on both sides of the central detector, the Zero Degree Calorimeters (\textsc{zdc}s) are located at zero angle, i.e.\ are aligned with the beamline axis at the interaction point. They are placed beyond the point where the paths of incoming and outgoing beams separate. 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}).
     295
     296The trajectory of the neutrals observed in the \textsc{zdc}s is a straight line, while charged particles are deflected away from their acceptance window by the powerful magnets located in front of them. The fact that additional charged particles may enter the \textsc{zdc} acceptance is neglected here.
     297
     298The \textsc{zdc}s have the ability to measure the time-of-flight of the particle.
     299This 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 measured time-of-flight $t$ is simply given by:
    296300\begin{equation}
    297301 t = t_0 + \frac{1}{v} \times \Big( \frac{s-z}{\cos \theta}\Big),
    298302\end{equation}
    299 where $t$ 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 $1 - \cos \theta < 10^{-4}$.
     303where $t_0$ is thus 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, $\theta$ is the particle emission angle. It is then assumed 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 $1 - \cos \theta < 10^{-4}$.
    300304The formula then reduces to
    301305\begin{equation}
    302  t = \frac{1}{c} \times (s-z)
     306 t = \frac{1}{c} \times (s-z).
    303307\end{equation}
    304 For 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}. The \textsc{zdc}s are composed of an electromagnetic and a hadronic sections, for the measurement of photons and neutrons, respectively. The energy of the observed neutral is smeared according to Eq.~\ref{eq:caloresolution} and the section resolutions (Tab.~\ref{tab:defResolZdc}). The \textsc{zdc} hits do not enter in the calorimeter tower list used for reconstruction of jets and missing transverse energy.
     308For example, a photon takes $0.47~\mu\textrm{s}$ to reach a \textsc{zdc} located at $s=140~\textrm{m}$, neglecting $z$ and $\theta$. For the time-of-flight measurement, a Gaussian smearing can be applied according to the detector resolution (Tab.~\ref{tab:defResolZdc}). In the current version of \textsc{Delphes}, only neutrons, antineutrons and photons are assumed to be able to reach the \textsc{zdc}s, all other particles being neglected.
     309
     310The \textsc{zdc}s are composed of an electromagnetic and a hadronic sections, for the measurement of photons and neutrons, respectively. The energy of the observed neutral is smeared according to Eq.~\ref{eq:caloresolution} and the corresponding section resolutions (Tab.~\ref{tab:defResolZdc}). The \textsc{zdc} hits do not enter in the calorimeter tower list used for reconstruction of jets and missing transverse energy.
    305311
    306312\begin{table}[!h]
    307313\begin{center}
    308 \caption{Default values for the resolution of the zero degree calorimeters. Resolution is parametrised by the \textit{stochastic} ($S$), \textit{noise} ($N$) and \textit{constant} ($C$) terms (Eq.~\ref{eq:caloresolution}).
    309  The corresponding parameter name, in the detector card, is given. \vspace{0.5cm}}
     314\caption{Default values for the resolution of the zero degree calorimeters. Resolution on energy measurement is parametrised by the \textit{stochastic} ($S$), \textit{noise} ($N$) and \textit{constant} ($C$) terms (Eq.~\ref{eq:caloresolution}). The time-of-flight is smeared according to a Gaussian function.
     315The corresponding parameter name, in the detector card, is given. \vspace{0.5cm}}
    310316\begin{tabular}[!h]{lllc}
    311  \hline
    312  \multicolumn{2}{c}{Resolution Term}   & Card flag & Value\\\hline
     317\hline
     318\multicolumn{2}{c}{Resolution Term}   & Card flag & Value\\\hline
    313319 \multicolumn{4}{l}{\textsc{zdc}, electromagnetic part} \\
    314          & $S$ (GeV$^{1/2}$)& {\verb ELG_Szdc }  & $0.7$ \\
    315          & $N$ (GeV)& {\verb ELG_Nzdc }  & $0.0$ \\
    316          & $C$ & {\verb ELG_Czdc }  & $0.08$ \\
     320        & $S$ (GeV$^{1/2}$)& \texttt{ELG\_Szdc}  & $0.7$ \\
     321        & $N$ (GeV)& \texttt{ELG\_Nzdc}  & $0.0$ \\
     322        & $C$ & \texttt{ELG\_Czdc}  & $0.08$ \\
    317323 \multicolumn{4}{l}{\textsc{zdc}, hadronic part} \\
    318          & $S$ (GeV$^{1/2}$)& {\verb HAD_Szdc }   & $1.38$\\
    319          & $N$ (GeV)& {\verb HAD_Nzdc }   & $0$ \\
    320          & $C$ & {\verb HAD_Czdc }   & $0.13$\\
    321  \hline
     324        & $S$ (GeV$^{1/2}$)& \texttt{HAD\_Szdc}   & $1.38$\\
     325        & $N$ (GeV)& \texttt{HAD\_Nzdc}   & $0$ \\
     326        & $C$ & \texttt{HAD\_Czdc}   & $0.13$\\
     327 \multicolumn{4}{l}{\textsc{zdc}, timing resolution} \\
     328        & $\sigma_t$ (s) & \texttt{ZDC\_T\_resolution} & $0$ \\
     329\hline
    322330\end{tabular}
    323331\label{tab:defResolZdc}
    324332\end{center}
    325333\end{table}
     334
     335\subsubsection*{Forward taggers}
     336
     337Forward 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. Such devices, also used at \textsc{hera} and \textsc{Tevratron}, are located very far away from the interaction point (further than $150$~m in the \textsc{lhc} case).
     338
     339To be able to reach these detectors, particles must have a charge identical to the beam particles, and a momentum very close to the nominal value of 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}).
     340For instance, roman pots at $220~\textrm{m}$ from the  \textsc{ip} and $2~\textrm{mm}$ from the beam will detect all forward protons with an energy between $120$ and $900~\textrm{GeV}$~\cite{bib:Hector}.
     341In practice, in the \textsc{lhc}, only positively charged muons ($\mu^+$) and protons can reach the forward taggers as other particles with a single positive charge coming from the interaction points will decay before their possible tagging. In \textsc{Delphes}, extra hits coming from the beam-gas events or secondary particles hitting the beampipe in front of the detectors are not taken into account.
     342
     343While 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.
     344
     345Forward taggers are able to measure the hit positions ($x,y$) and angles ($\theta_x,\theta_y$) in the transverse plane at the location of the detector ($s$ meters away from the \textsc{ip}), as well as the time-of-flight\footnote{It should be noted that for both \textsc{cms} and \textsc{atlas} experiments, the taggers located at $220$~m are not able to measure the time-of-flight, contrary to \textsc{fp}420 detectors.} ($t$). Out of these the particle energy ($E$) and the momentum transfer it underwent during the interaction ($q^2$) can be reconstructed\footnote{The reconstruction of $E$ and $q^2$ are not implemeted in \textsc{Delphes} but can be performed at the analysis level.}.
    326346
    327347
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