dorsal/arxiv
View SchemaFluctuation studies and energy reconstruction in a segmented calorimeter
| Authors | Sara Bergenius Gavler, Per Carlson, Jan Conrad |
|---|---|
| Categories | |
| ArXiv ID | physics/0611236 |
| URL | https://arxiv.org/abs/physics/0611236 |
| DOI | 10.1109/NSSMIC.2006.356133 |
Abstract
In order to better understand energy estimation of electromagnetic showers in segmented calorimeters, detailed Geant4 simulation studies of electromagnetic showers in the energy range 1--100 GeV in CsI have been performed. When sampled in layers of 1.99 cm thickness, corresponding to 1.08 radiation lengths, the energy fluctuations in the samples show distributions that vary significantly with depth. The energy distributions are similar for incident electrons and photons and were found to change systematically along the shower, varying little with the initial energy. Three probability distributions have been fitted to the data: negative binomial, log-normal and Gaussian distributions, none of which gives a good fit over the full shower length. The obtained parameterizations might be useful in the use of the maximum likelihood method for estimating the energy. Two methods for estimating the energy have also been studied. One method is based on fitting individual longitudinal shower profiles with a $\Gamma$-function, the other one corrects the measured energy for leakage by utilizing the energy deposited in the last layer. Our simulations indicate that the last-layer correction method applied to photons and electrons of 1 and 10 GeV gives about a factor of 2 improvement in the energy resolution.
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"abstract": "In order to better understand energy estimation of electromagnetic showers in\nsegmented calorimeters, detailed Geant4 simulation studies of electromagnetic\nshowers in the energy range 1--100 GeV in CsI have been performed. When sampled\nin layers of 1.99 cm thickness, corresponding to 1.08 radiation lengths, the\nenergy fluctuations in the samples show distributions that vary significantly\nwith depth. The energy distributions are similar for incident electrons and\nphotons and were found to change systematically along the shower, varying\nlittle with the initial energy. Three probability distributions have been\nfitted to the data: negative binomial, log-normal and Gaussian distributions,\nnone of which gives a good fit over the full shower length. The obtained\nparameterizations might be useful in the use of the maximum likelihood method\nfor estimating the energy. Two methods for estimating the energy have also been\nstudied. One method is based on fitting individual longitudinal shower profiles\nwith a $\\Gamma$-function, the other one corrects the measured energy for\nleakage by utilizing the energy deposited in the last layer. Our simulations\nindicate that the last-layer correction method applied to photons and electrons\nof 1 and 10 GeV gives about a factor of 2 improvement in the energy resolution.",
"arxiv_id": "physics/0611236",
"authors": [
"Sara Bergenius Gavler",
"Per Carlson",
"Jan Conrad"
],
"categories": [
"physics.ins-det"
],
"doi": "10.1109/NSSMIC.2006.356133",
"title": "Fluctuation studies and energy reconstruction in a segmented calorimeter",
"url": "https://arxiv.org/abs/physics/0611236"
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