Abstract

The modelling of Cherenkov based detectors is traditionally done using Geant4 toolkit. In this work, we present another method based on Python programming language and Numba high performance compiler to speed up the simulation. As an example we take one of the Forward Proton Detectors at the CERN LHC - ATLAS Forward Proton (AFP) Time-of-Flight, which is used to reduce the background from multiple proton-proton collisions in soft and hard diffiractive events. We describe the technical details of the fast Cherenkov model of photon generation and transportation through the optical part of the ToF detector. The fast simulation is revealed to be about 200 times faster than the corresponding Geant4 simulation, and provides similar results concerning length and time distributions of photons. The study is meant as the first step in a construction of a building kit allowing creation of a fast simulation of an arbitrary shaped optical part of detectors.

Highlights

  • Geant4 is a Monte Carlo toolkit to simulate the passage and interactions of elementary particles with matter [1]

  • Where Z = q/e = 1 for protons; StepLength is the length of a proton trajectory in the Cherenkov active material; β = vp/c ≈ 1 is the relativistic factor of a proton; E is the energy of a photon corresponding to wavelength in the range accepted by the photomultiplier; n is the refraction index of silica

  • We presented the fast modeling of the ATLAS Forward Proton (AFP) Time-of-Flight detector, that uses the geometrical method

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Summary

Introduction

Geant is a Monte Carlo toolkit to simulate the passage and interactions of elementary particles with matter [1]. Geant simulation has been used to optimize the optical shape and performance of Time-of-Flight detector [2, 3] In this modelling, a run corresponds to set of proton trajectories going through the detector, an event corresponds to one proton passing through the detector, a track corresponds to a photon emitted from a vertex of the trajectory, and a step corresponds to a photon trajectory from one side to another side of the detector. The fast Cherenkov model is based on efficient photon path length calculations, which use the laws of geometrical optics and some approximations. It uses the programming language Python [5] and the Numba module (a Python high performance compiler) to speed up the process [6]

Characteristics of ToF detector
Edge effect
Possible cases
Attenuation effects
Track length and time
Fast simulation vs Geant 4
Speed of the simulations
Application of the fast simulation: analysis of time resolution
Findings
Conclusion
Full Text
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