Efficient formulas for efficiency correction of cumulants

Abstract

We derive formulas which connect cumulants of particle numbers observed with efficiency losses with the original ones based on the binomial model. These formulas can describe the case with multiple efficiencies in a compact form. Compared with the presently suggested ones based on factorial moments, these formulas would drastically reduce the numerical cost for efficiency corrections when the order of the cumulant and the number of different efficiencies are large. The efficiency correction with realistic $p_T$-dependent efficiency would be carried out with the aid of these formulas.

7 pages

References in corpus (3)

• Systematic Measurements of Identified Particle Spectra in pp, d+Au and Au+Au Collisions from STAR
• Energy Dependence of Moments of Net-Proton and Net-Charge Multiplicity Distributions at STAR
• Thermodynamics of strong-interaction matter from Lattice QCD

Cited by in corpus (28)

• From hadrons to quarks in neutron stars: a review
• Mapping the Phases of Quantum Chromodynamics with Beam Energy Scan
• Search for the QCD Critical Point with Fluctuations of Conserved Quantities in Relativistic Heavy-Ion Collisions at RHIC : An Overview
• Proton number fluctuations in $\sqrt{s_{NN}}$ = 2.4 GeV Au+Au collisions studied with HADES
• A Study of the Properties of the QCD Phase Diagram in High-Energy Nuclear Collisions
• More efficient formulas for efficiency correction of cumulants and effect of using averaged efficiency
• Higher-order baryon number susceptibilities: interplay between the chiral and the nuclear liquid-gas transitions
• Multiplicity dependent and non-binomial efficiency corrections for particle number cumulants
• Properties and uses of factorial cumulants in relativistic heavy-ion collisions
• Particlization of an interacting hadron resonance gas with global conservation laws for event-by-event fluctuations in heavy-ion collisions
• Correlated stopping, proton clusters and higher order proton cumulants
• Large proton cumulants from the superposition of ordinary multiplicity distributions
• Efficiency correction for cumulants of multiplicity distributions based on track-by-track efficiency
• Critical point fluctuations: Finite size and global charge conservation effects
• Conserved charge fluctuations are not conserved during the hadronic phase
• Binomial acceptance corrections for particle number distributions in high-energy reactions
• Thermal blurring of event-by-event fluctuations provoked by rapidity conversion
• Effect of finite particle number sampling on baryon number fluctuations
• Pileup corrections on higher-order cumulants
• Importance of separated efficiencies between positively and negatively charged particles for cumulant calculations
• 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
• Efficiency corrections for factorial moments and cumulants of overlapping sets of particles
• Net-baryon multiplicity distribution consistent with lattice QCD
• 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
• 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