Parametrization of the energy resolution of a hadronic sampling calorimeter involving radiation length
Abstract
The stochastic term of the energy resolution (astoc) in a hadronic sampling calorimeter scales with absorber thickness (t) as √t, while shower containment is governed by the material's radiation length (X0). We propose a new parametrization using absorber (zt) and readout (zs) radiation lengths. Using the ATLAS Hadronic End-Cap (HEC) geometry, we simulated 5000 electron (e) and 5000 pion (π−) beams with energies from 20–150 GeV, across various absorber/readout material combinations. For each beam energy, we extracted the spectral peak (E0) and root-mean-square (σ), and fit the resolution first with the conventional astoc model, then with our proposed parametrization. For electrons, results show that astoc scales as (zt + zs)−1/2, with a distinct dependence on absorber material. However, this relation does not fully capture the resolution behavior for π− beams.
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