Multiplicity dependent and non-binomial efficiency corrections for particle number cumulants

Abstract

In this note we extend previous work on efficiency corrections for cumulant measurements [1,2]. We will discuss the limitations of the methods presented in these papers. Specifically we will consider multiplicity dependent efficiencies as well as a non-binomial efficiency distributions. We will discuss the most simple and straightforward methods to implement those corrections.

arXiv comment11 pages, 7 figures

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Cited by in corpus (34)

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• Search for the QCD Critical Point with Fluctuations of Conserved Quantities in Relativistic Heavy-Ion Collisions at RHIC : An Overview
• Lattice QCD and heavy ion collisions: a review of recent progress
• Cumulants and Correlation Functions of Net-proton, Proton and Antiproton Multiplicity Distributions in Au+Au Collisions at energies available at the BNL Relativistic Heavy Ion Collider
• Proton number fluctuations in $\sqrt{s_{NN}}$ = 2.4 GeV Au+Au collisions studied with HADES
• More efficient formulas for efficiency correction of cumulants and effect of using averaged efficiency
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• Search for the QCD Critical Point in High Energy Nuclear Collisions
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• Centrality fluctuations in heavy-ion collisions
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• Large proton cumulants from the superposition of ordinary multiplicity distributions
• Efficiency correction for cumulants of multiplicity distributions based on track-by-track efficiency
• Rapidity dependence of proton cumulants and correlation functions
• Conserved charge fluctuations are not conserved during the hadronic phase
• Binomial acceptance corrections for particle number distributions in high-energy reactions
• Effect of finite particle number sampling on baryon number fluctuations
• Higher order net-proton number cumulants dependence on the centrality definition and other spurious effects
• Dynamics of critical fluctuations: Theory -- phenomenology -- heavy-ion collisions
• Pileup corrections on higher-order cumulants
• Reconstructing particle number distributions with convoluting volume fluctuations
• A model-free procedure to correct for volume fluctuations in E-by-E analyses of particle multiplicities
• Statistical moments in superposition models and strongly intensive measures
• The cumulants of the baryon number from central Au+Au collision at $E_{lab}$= 1.23 GeV$/$nucleon reveal the nuclear mean-field potentials
• Nuclear interactions and net-proton number fluctuations in heavy ion collisions at the SIS18 accelerator
• Event-by-Event Multiplicity Correlations in ${}^{252}$Cf(sf)
• Isolating dynamical net-charge fluctuations
• Efficiency corrections for factorial moments and cumulants of overlapping sets of particles
• The sixth order cumulant of net-proton number in Binomial distribution at $\sqrt{s_{NN}}=$ 200 GeV
• Net-baryon multiplicity distribution consistent with lattice QCD
• Measurements of charged-particle multiplicity dependence of higher-order net-proton cumulants in $p$+$p$ collisions at $\sqrt{s}=$ 200 GeV from STAR at RHIC
• Generalisation of the identity method for determination of high-order moments of multiplicity distributions with a software implementation
• Efficiency corrections for mutually inclusive variables and particle identification effect for mixed-cumulants in heavy-ion collisions