Efficiency corrections for mutually inclusive variables and particle identification effect for mixed-cumulants in heavy-ion collisions

TL;DR

This paper develops and verifies efficiency correction formulas for mixed-cumulants of conserved charges in heavy-ion collisions, accounting for particle identification effects, to improve the precision of QCD medium studies.

Contribution

It introduces new efficiency correction formulas for mutually inclusive variables using the binomial model and examines particle ID effects, advancing heavy-ion collision analysis methods.

Findings

Derived correction formulas validated with UrQMD simulations

Identified impact of multiplicity loss and contamination on measurements

Provides a framework for future mixed-cumulant measurements

Abstract

Mix-cumulants of conserved charge distributions are sensitive observables for probing properties of the QCD medium and phase transition in heavy-ion collisions. To perform precise measurements, efficiency correction is one of the most important step. In this study, using the binomial efficiency model, we derive efficiency correction formulas for mutually exclusive and inclusive variables. The UrQMD model is applied to verify the validity of these formulas for different types of correlations. Furthermore, we investigate the effect of the multiplicity loss and contamination emerging from the particle identifications. This study provides an important step toward future measurements of mixed-cumulants in relativistic heavy-ion collisions.