dorsal/arxiv
View SchemaEnergy flow in a hadronic cascade: Application to hadron calorimetry
| Authors | Donald E. Groom |
|---|---|
| Categories | |
| ArXiv ID | physics/0605164 |
| URL | https://arxiv.org/abs/physics/0605164 |
| DOI | 10.1016/j.nima.2006.11.070 10.1016/j.nima.2008.05.045 |
| Journal | Nucl.Instrum.Meth.A572:633-653,2007; Erratum-ibid.A593:628,2008 |
Abstract
The hadronic cascade description developed in an earlier paper is extended to the response of an idealized fine-sampling hadron calorimeter. Calorimeter response is largely determined by the transfer of energy $E_e$ from the hadronic to the electromagnetic sector via $\pi^0$ production. Fluctuations in this quantity produce the "constant term" in hadron calorimeter resolution. The increase of its fractional mean, $f_{\rm em}^0 = \vev{E_e}/E$, with increasing incident energy $E$ causes the energy dependence of the $\pi/e$ ratio in a noncompensating calorimeter. The mean hadronic energy fraction, $f_h^0 = 1-f_{\rm em}^0$, was shown to scale very nearly as a power law in $E$: $f_h^0 = (E/E_0)^{m-1}$, where $E_0\approx1$ GeV for pions, and $m\approx0.83$. It follows that $\pi/e=1-(1-h/e)(E/E_0)^{m-1}$, where electromagnetic and hadronic energy deposits are detected with efficiencies $e$ and $h$, respectively. Fluctuations in these quantities, along with sampling fluctuations, are incorporated to give an overall understanding of resolution, which is different from the usual treatments in interesting ways. The conceptual framework is also extended to the response to jets and the difference between $\pi$ and $p$ response.
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"abstract": "The hadronic cascade description developed in an earlier paper is extended to\nthe response of an idealized fine-sampling hadron calorimeter. Calorimeter\nresponse is largely determined by the transfer of energy $E_e$ from the\nhadronic to the electromagnetic sector via $\\pi^0$ production. Fluctuations in\nthis quantity produce the \"constant term\" in hadron calorimeter resolution. The\nincrease of its fractional mean, $f_{\\rm em}^0 = \\vev{E_e}/E$, with increasing\nincident energy $E$ causes the energy dependence of the $\\pi/e$ ratio in a\nnoncompensating calorimeter. The mean hadronic energy fraction, $f_h^0 =\n1-f_{\\rm em}^0$, was shown to scale very nearly as a power law in $E$: $f_h^0 =\n(E/E_0)^{m-1}$, where $E_0\\approx1$ GeV for pions, and $m\\approx0.83$. It\nfollows that $\\pi/e=1-(1-h/e)(E/E_0)^{m-1}$, where electromagnetic and hadronic\nenergy deposits are detected with efficiencies $e$ and $h$, respectively.\nFluctuations in these quantities, along with sampling fluctuations, are\nincorporated to give an overall understanding of resolution, which is different\nfrom the usual treatments in interesting ways. The conceptual framework is also\nextended to the response to jets and the difference between $\\pi$ and $p$\nresponse.",
"arxiv_id": "physics/0605164",
"authors": [
"Donald E. Groom"
],
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"doi": "10.1016/j.nima.2006.11.070 10.1016/j.nima.2008.05.045",
"journal_ref": "Nucl.Instrum.Meth.A572:633-653,2007; Erratum-ibid.A593:628,2008",
"title": "Energy flow in a hadronic cascade: Application to hadron calorimetry",
"url": "https://arxiv.org/abs/physics/0605164"
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