Effects of the Detection Efficiency on Multiplicity Distributions

Abstract

In this paper we investigate how a finite detection efficiency affects three popular multiplicity distributions, namely the Poisson, the Binomial and the Negative Binomial distributions. We found that a multiplicity-independent detection efficiency does not change the characteristic of a distribution, while a multiplicity-dependent detection efficiency does. We layout a procedure to study the deviation of moments and their derivative quantities from the baseline distribution due to a multiplicity-dependent detection efficiency.

4 pages

References in corpus (4)

• Canonical partition function and finite density phase transition in lattice QCD
• Acceptance corrections to net baryon and net charge cumulants
• The RHIC Beam Energy Scan Program: Results from the PHENIX Experiment
• Beam energy and centrality dependence of the statistical moments of the net-charge and net-kaon multiplicity distributions in Au+Au collisions at STAR

Cited by in corpus (5)

• Proton number fluctuations in $\sqrt{s_{NN}}$ = 2.4 GeV Au+Au collisions studied with HADES
• Multiplicity dependent and non-binomial efficiency corrections for particle number cumulants
• Criticality of the net-baryon number probability distribution at finite density
• A short introduction to heavy-ion physics
• Beam Energy Dependence of Clan Multiplicity at RHIC