Efficiency correction for cumulants of multiplicity distributions based on track-by-track efficiency

Abstract

We propose a simplified procedure for the experimental application of the efficiency correction on higher order cumulants in heavy-ion collisions. By using the track-by-track efficiency, we can eliminate possible bias arising from the average efficiencies calculated within the arbitrary binning of the phase space. Furthermore, the corrected particle spectra is no longer necessary for the average efficiency estimation and the time cost for the calculation of bootstrap statistical error can be significantly reduced.

arXiv comment6 pages, 3 figures

References in corpus (23)

• Event-by-Event Fluctuations in Heavy Ion Collisions and the QCD Critical Point
• Non-Gaussian fluctuations near the QCD critical point
• Energy Dependence of Moments of Net-proton Multiplicity Distributions at RHIC
• On the sign of kurtosis near the QCD critical point
• Search for the QCD Critical Point with Fluctuations of Conserved Quantities in Relativistic Heavy-Ion Collisions at RHIC : An Overview
• Beam energy dependence of moments of the net-charge multiplicity distributions in Au+Au collisions at RHIC
• Scale for the Phase Diagram of Quantum Chromodynamics
• Hadronic fluctuations at the QCD phase transition
• Third moments of conserved charges as probes of QCD phase structure
• Relation between baryon number fluctuations and experimentally observed proton number fluctuations in relativistic heavy ion collisions
• Acceptance corrections to net baryon and net charge cumulants
• Collision Energy Dependence of Moments of Net-Kaon Multiplicity Distributions at RHIC
• Volume Fluctuation and Autocorrelation Effects in the Moment Analysis of Net-proton Multiplicity Distributions in Heavy-Ion Collisions
• Exploring the QCD Phase Structure with Beam Energy Scan in Heavy-ion Collisions
• Unified Description of Efficiency Correction and Error Estimation for Moments of Conserved Quantities in Heavy-Ion Collisions
• Error Estimation for Moments Analysis in Heavy-Ion Collision Experiments
• Local Efficiency Corrections to Higher Order Cumulants
• More efficient formulas for efficiency correction of cumulants and effect of using averaged efficiency
• Multiplicity dependent and non-binomial efficiency corrections for particle number cumulants
• Properties and uses of factorial cumulants in relativistic heavy-ion collisions
• Efficient formulas for efficiency correction of cumulants
• A general procedure for detector-response correction of higher order cumulants
• Importance of separated efficiencies between positively and negatively charged particles for cumulant calculations

Cited by in corpus (19)

• 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
• A Study of the Properties of the QCD Phase Diagram in High-Energy Nuclear Collisions
• Search for the QCD Critical Point in High Energy Nuclear Collisions
• Higher-Order Cumulants and Correlation Functions of Proton Multiplicity Distributions in $\sqrt{s_{\mathrm{NN}}}$ = 3 GeV Au+Au Collisions at the RHIC STAR Experiment
• Beam energy dependence of net-$\Lambda$ fluctuations measured by the STAR experiment at RHIC
• Energy Dependence of Intermittency for Charged Hadrons in Au+Au Collisions at RHIC
• Intermittency analysis of proton numbers in heavy-ion collisions at energies available at the BNL Relativistic Heavy Ion Collider
• Measurement of the Sixth-Order Cumulant of Net-Proton Distributions in Au+Au Collisions from the STAR Experiment
• Recent results on net-baryon fluctuations in ALICE
• Effects of resonance weak decays and hadronic re-scattering on the proton number fluctuations in Au + Au collisions at $\sqrt{s_{\mathrm{NN}}}=5$ GeV from JAM model
• Purity correction for cumulants of hyperon number distribution
• 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
• Search for the QCD Critical Point in High Energy Nuclear Collisions: A Status Report
• Efficiency corrections for mutually inclusive variables and particle identification effect for mixed-cumulants in heavy-ion collisions
• Beam Energy Dependence of Fifth and Sixth-Order Net-proton Number Fluctuations in Au+Au Collisions at RHIC
• Effect of non-uniform efficiency on higher-order cumulants in heavy-ion collisions
• The time evolution of light nuclei cumulants and ratios with a first-order phase transition in the UrQMD transport model
• Measurement of correlations among net-charge, net-proton, and net-kaon multiplicity distributions in Pb$-$Pb collisions at $\sqrt{s_{\text{NN}}}=5.02$ TeV
• Statistical uncertainty estimation of higher-order cumulants with finite efficiency and its application in heavy-ion collisions