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 |
| 270 | asserted if one assumes perfect charged particle identification. |
| 272 | |
| 273 | We 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 | |
| 282 | and, |
| 283 | |
| 284 | \begin{equation} |
| 285 | E^{e-flow}_{Tower} = max(0,\Delta_{ECAL}) + max(0,\Delta_{HCAL}) |
| 286 | \label{eq:eftower} |
| 287 | \end{equation} |
| 288 | |
| 289 | The 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 | |
| 296 | To 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 | |
| 304 | Due to tracking inefficiencies, some charged particles will not be reconstructed as tracks, but will produce a hit in a calorimeter cell. |
| 305 | Therefore, in most cases, $E_{ECAL,trk} \leq E_{ECAL}$ and $E_{HCAL,trk} \leq E_{HCAL}$. The algorithm comap |
| 306 | |
| 307 | |