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- Jul 27, 2009, 5:00:14 PM (15 years ago)
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trunk/paper/CommPhysComp/notes.tex
r516 r517 189 189 \end{table*} 190 190 191 \begin{figure}[!h ]191 \begin{figure}[!ht] 192 192 \begin{center} 193 193 %\includegraphics[width=\columnwidth]{Detector_Delphes_3} … … 285 285 As 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. 286 286 287 \begin{figure}[!h ]287 \begin{figure}[!ht] 288 288 \begin{center} 289 289 %\includegraphics[width=\columnwidth]{calosegmentation} … … 296 296 The 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. 297 297 298 \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} 299 300 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. In \textsc{Delphes}, Zero Degree Calorimeters, roman pots and forward taggers have been implemented (Fig.~\ref{fig:fdets}). 301 302 \begin{figure}[!ht] 305 303 \begin{center} 306 304 %\includegraphics[width=\columnwidth]{fdets} 307 305 \includegraphics[width=\columnwidth]{fig4} 308 306 \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 ($s=0~\textrm{m}$).307 Incoming (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). 310 308 The 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}.} 311 309 \label{fig:fdets} … … 317 315 \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. 318 316 The 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 ($E$). 317 All detectors are located on both sides of the interaction point. 319 318 \vspace{0.5cm}} 320 319 \begin{tabular}{llcl} 321 320 \hline 322 321 Detector & 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 $4~\textrm{mm}$\\ 326 325 \hline 327 326 \end{tabular} … … 331 330 332 331 333 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} 333 334 In 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}). 335 336 The 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. 337 338 The \textsc{zdc}s have the ability to measure the time-of-flight of the particle. 339 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 measured time-of-flight $t$ is simply given by: 337 340 \begin{equation} 338 341 t = t_0 + \frac{1}{v} \times \Big( \frac{s-z}{\cos \theta}\Big), 339 342 \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 assumesthat 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 $1 - \cos \theta < 10^{-4}$.343 where $t_0$ 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 $1 - \cos \theta < 10^{-4}$. 341 344 The formula then reduces to 342 345 \begin{equation} 343 t = \frac{1}{c} \times (s-z) 346 t = \frac{1}{c} \times (s-z). 344 347 \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. 348 For example, a photon takes $0.47~\mu\textrm{s}$ to reach a \textsc{zdc} located at $s=140~\textrm{m}$, neglecting $z$ and $\theta$. 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. 349 350 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 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. 346 351 347 352 \begin{table}[!h] 348 353 \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. 350 355 The corresponding parameter name, in the detector card, is given. \vspace{0.5cm}} 351 356 \begin{tabular}[!h]{lllc} … … 353 358 \multicolumn{2}{c}{Resolution Term} & Card flag & Value\\\hline 354 359 \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} & $0.08$ \\ 358 363 \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} & $0$ \\ 362 369 \hline 363 370 \end{tabular} … … 366 373 \end{table} 367 374 375 \subsubsection*{Forward taggers} 376 377 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. 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). 378 379 To 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}). 380 For 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}. 381 In 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. 382 383 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. 384 385 Forward 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.}. 368 386 369 387 … … 502 520 \end{table} 503 521 504 \begin{figure}[!h ]522 \begin{figure}[!ht] 505 523 \begin{center} 506 524 %\includegraphics[width=0.6\columnwidth]{Tau} … … 541 559 A 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}). 542 560 543 \begin{figure}[!h ]561 \begin{figure}[!ht] 544 562 \begin{center} 545 563 %\includegraphics[width=\columnwidth]{Tau2} … … 560 578 561 579 562 \begin{figure}[!h ]580 \begin{figure}[!ht] 563 581 \begin{center} 564 582 %\includegraphics[width=\columnwidth]{Tau1} … … 652 670 \end{equation} 653 671 654 \begin{figure}[!h ]672 \begin{figure}[!ht] 655 673 \begin{center} 656 674 %\includegraphics[width=\columnwidth]{resolutionJet} … … 677 695 Figure~\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}. 678 696 679 \begin{figure}[!h ]697 \begin{figure}[!ht] 680 698 \begin{center} 681 699 \includegraphics[width=\columnwidth]{fig9} … … 701 719 energy, for \textsc{cms}- and \textsc{atlas}-like detectors. 702 720 703 \begin{figure}[!h ]721 \begin{figure}[!ht] 704 722 \begin{center} 705 723 %\includegraphics[width=\columnwidth]{resolutionETmis} … … 755 773 When 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 $1$.}. 756 774 757 % \begin{figure}[!h ]775 % \begin{figure}[!ht] 758 776 % \begin{center} 759 777 % \includegraphics[width=\columnwidth]{Detector_Delphes_1} … … 776 794 Note 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. 777 795 778 \begin{figure}[!h ]796 \begin{figure}[!ht] 779 797 \begin{center} 780 798 %\includegraphics[width=\columnwidth]{Detector_Delphes_2b} … … 797 815 The 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. 798 816 799 \begin{figure}[!h ]817 \begin{figure}[!ht] 800 818 \begin{center} 801 819 %%\includegraphics[width=\columnwidth]{Events_Delphes_1} … … 814 832 The 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. 815 833 816 \begin{figure}[!h ]834 \begin{figure}[!ht] 817 835 \begin{center} 818 836 %%\includegraphics[width=\columnwidth]{Events_Delphes_1} … … 1333 1351 \begin{tabular}{ll} 1334 1352 \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) } 1336 1354 \end{tabular} 1337 1355 \end{quote} … … 1420 1438 \end{verbatim} 1421 1439 \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.1440 For 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. 1423 1441 1424 1442 To 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 14 14 les balises LaTeX \langle et \rangle 15 15 16 Figure 9:17 * je ne suis pas d'accord avec le titre de l'axe Y. Selon moi, c'est un18 biais, pas une résolution. Voir aussi les footnotes 16 et 1719 * il faut changer l'axe X en $(\Sigma E_T)$20 * if faut changer la formule du fit qui est affichée sur le plot: il21 manque le #Sigma dedans!22 23 24 25 16 Quelle est l'efficacité pour les taus? 39% ou 60%? 26 17 * dis nulle part on ne parle dans la note du fait que les convertisseur existent "seul" -
trunk/paper/notes.tex
r516 r517 256 256 The 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. 257 257 258 \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} 259 260 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. In \textsc{Delphes}, Zero Degree Calorimeters, roman pots and forward taggers have been implemented (Fig.~\ref{fig:fdets}). 261 262 \begin{figure}[!ht] 265 263 \begin{center} 266 264 \includegraphics[width=\columnwidth]{fdets} 265 %\includegraphics[width=\columnwidth]{fig4} 267 266 \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 ($s=0~\textrm{m}$).267 Incoming (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). 269 268 The 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}.} 270 269 \label{fig:fdets} … … 276 275 \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. 277 276 The 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 ($E$). 277 All detectors are located on both sides of the interaction point. 278 278 \vspace{0.5cm}} 279 279 \begin{tabular}{llcl} 280 280 \hline 281 281 Detector & 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 $4~\textrm{mm}$\\ 285 285 \hline 286 286 \end{tabular} … … 290 290 291 291 292 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} 293 294 In 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}). 295 296 The 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. 297 298 The \textsc{zdc}s have the ability to measure the time-of-flight of the particle. 299 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 measured time-of-flight $t$ is simply given by: 296 300 \begin{equation} 297 301 t = t_0 + \frac{1}{v} \times \Big( \frac{s-z}{\cos \theta}\Big), 298 302 \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 assumesthat 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 $1 - \cos \theta < 10^{-4}$.303 where $t_0$ 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 $1 - \cos \theta < 10^{-4}$. 300 304 The formula then reduces to 301 305 \begin{equation} 302 t = \frac{1}{c} \times (s-z) 306 t = \frac{1}{c} \times (s-z). 303 307 \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. 308 For example, a photon takes $0.47~\mu\textrm{s}$ to reach a \textsc{zdc} located at $s=140~\textrm{m}$, neglecting $z$ and $\theta$. 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. 309 310 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 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. 305 311 306 312 \begin{table}[!h] 307 313 \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}).309 314 \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. 315 The corresponding parameter name, in the detector card, is given. \vspace{0.5cm}} 310 316 \begin{tabular}[!h]{lllc} 311 312 317 \hline 318 \multicolumn{2}{c}{Resolution Term} & Card flag & Value\\\hline 313 319 \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} & $0.08$ \\ 317 323 \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 322 330 \end{tabular} 323 331 \label{tab:defResolZdc} 324 332 \end{center} 325 333 \end{table} 334 335 \subsubsection*{Forward taggers} 336 337 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. 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). 338 339 To 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}). 340 For 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}. 341 In 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. 342 343 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. 344 345 Forward 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.}. 326 346 327 347
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