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Changes between Version 13 and Version 14 of Private/RefereeComments/Section_2


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Timestamp:
Oct 3, 2013, 12:12:31 PM (11 years ago)
Author:
Michele Selvaggi
Comment:

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  • Private/RefereeComments/Section_2

    v13 v14  
    196196content is not related whatsoever to the information in this bullet.
    197197
     198>>> the discussion about hits is not present anymore.
     199
    198200PAGE 5
    199201
     
    201203even by experts. The suggestion is to work the text out and come with a
    202204clearer version.
     205
     206>>> this part has been completely re-written.
    203207
    204208First bullet :
     
    218222electron and a neutron point to the same HCAL tower, the e ID is smart
    219223enough to detect it, is almost correct for most detector designs.
     224
     225 
    220226
    221227Second bullet:
     
    256262If the momentum resolution of the tracking system is higher than the energy resolution of calorimeters, it can be convenient to use the tracking information within the tracker acceptance for estimating the charged particles momenta. In real experiments, the tracker resolution will be better than the calorimeter resolution only up to some energy threshold. In \DELPHES, we assume it is always convenient to estimate charged particle momenta via the the tracker.
    257263
    258 The particle-flow algorithm produces two collections of 4-vectors --- particle-flow tracks and particle-flow towers --- that will serve later as input for reconstructing jets and missing transverse energy with a higher resolution.
    259 For each calorimeter cell, the algorithm counts:
     264The energy-flow algorithm produces two collections of 4-vectors --- \emph{energy-flow tracks} and \emph{energy-flow towers} --- that will serve later as input for reconstructing jets and missing transverse energy with a higher resolution.
     265For each calorimeter tower, the algorithm counts:
     266
    260267\begin{itemize}
    261 \item $N_{calo}$, the total number of hits that originate from all long-lived standard model particles propagating within the calorimeter acceptance, provided that at least one among $f_{ECAL}$ and $f_{HCAL}$ is non-zero.~\footnote{Muons, neutrinos and neutralinos do not deposit any energy in the calorimeters.} Each time the calorimeter cell is reached by such a particle, $N_{calo}$ is incremented by 1. Similarly we define $N_{calo-HCAL}$ ($N_{calo-ECAL}$) which gets incremented if a particle with $f_{HCAL}>0$ ($f_{ECAL}>0$) reaches the calorimeter cell.
    262 
    263 \item $N_{trk}$, the number of hits that originate from a reconstructed track. Due to tracking inefficiencies, some charged particles will not be reconstructed as tracks, but will produce a hit in a calorimeter cell. By construction $N_{trk} \leq N_{calo}$. We also define $N_{trk-HCAL}$ ($N_{trk-ECAL}$) which is incremented if a charged particle reconstructed as a track with $f_{HCAL}>0$ ($f_{ECAL}>0$) reaches the calorimeter cell.
    264 
     268\item $E_{ECAL}$ and $E_{HCAL}$, the total energy deposited respectively in ECAL and HCAL.
     269\item $E_{ECAL,trk}$ and $E_{HCAL,trk}$, the total energy deposited respectively in ECAL and HCAL originating from charged particles for which the tracks have been reconstructed. The charged components $E_{ECAL,trk}$ and $E_{HCAL,trk}$ can be
     270asserted if one assumes perfect charged particle identification.
    265271\end{itemize}
     272
     273We then define
     274
     275\begin{equation}
     276\Delta_{ECAL} =E_{ECAL} - E_{ECAL,trk}\,,
     277\qquad
     278\Delta_{HCAL} =E_{HCAL} - E_{HCAL,trk}\,,
     279\label{eq:efexcess}
     280\end{equation}
     281
     282and,
     283
     284\begin{equation}
     285E^{e-flow}_{Tower} =  max(0,\Delta_{ECAL}) + max(0,\Delta_{HCAL})
     286\label{eq:eftower}
     287\end{equation}
     288
     289The energy-flow proceeds then as follows:
     290
     291\begin{itemize}
     292\item each reconstructed track will result in an \emph{energy-flow track}
     293\item if $E^{e-flow}_{Tower}>0$, an \emph{energy-flow tower} is created with energy $E^{e-flow}_{Tower}$
     294\end{itemize}
     295
     296To illustrate the energy-flow algorithm in \DELPHES, here are a few simple examples:
     297
     298\begin{itemize}
     299\item a single charged pion particle is reconstructed as a track with energy E_{HCAL,trk} and deposits some energy $E_{HCAL} in the HCAL. If $E_{HCAL} \leq E_{HCAL,trk}$ only an energy-flow track with energy E_{HCAL,trk} is produced. If $E_{HCAL} >  E_{HCAL,trk}$, an energy-flow track with energy $E_{HCAL,trk}$ and an energy-flow tower with energy $E_{HCAL}$ are produced. This case is analogous to that of a single electron depositing energy in the ECAL and being reconstructed as a track.
     300\item
     301\end{itemize}
     302
     303
     304Due to tracking inefficiencies, some charged particles will not be reconstructed as tracks, but will produce a hit in a calorimeter cell.
     305Therefore, in most cases, $E_{ECAL,trk} \leq E_{ECAL}$ and $E_{HCAL,trk} \leq E_{HCAL}$. The algorithm comap
     306
     307
    266308
    267309The following two scenarios may occur, $N_{calo}=N_{trk}$ and $N_{calo}>N_{trk}$.
     
    279321The output of the particle-flow algorithm consists in two collections of objects. The particle-flow tracks contain charged particles estimated with a good resolution. The particle-flow towers contain in general a combination of charged and neutral particles, and are characterized by a lower resolution. As will be shown in sections~\ref{sec:jets} and~\ref{sec:pus}, besides producing high-resolution inputs for jets and missing transverse energy, the particle-flow approach can be pretty useful for addressing pile-up subtraction.
    280322While very simple when compared to what is actually required in real experiments, the algorithm described above is shown to reproduce well the performance achieved at LHC later in section~\ref{sec:validation}.
    281