A general procedure for detector-response correction of higher order cumulants

TL;DR

This paper introduces a versatile method for correcting higher order cumulants in heavy-ion collision data, accounting for complex detector responses including non-binomial effects and ghost tracks, improving the accuracy of event-by-event analyses.

Contribution

The paper presents a general, moment-based procedure for detector-response correction applicable to diverse response matrices, including realistic and multiplicity-dependent efficiencies.

Findings

Successfully reconstructs true cumulants from simulated data.

Works with non-binomial and ghost track response matrices.

Effective for realistic detector conditions.

Abstract

We propose a general procedure for the detector-response correction (including efficiency correction) of higher order cumulants observed by the event-by-event analysis in heavy-ion collisions. This method makes use of the moments of the response matrix characterizing the property of a detector, and is applicable to a wide variety of response matrices such as those having non-binomial responses and including the effects of ghost tracks. A procedure to carry out the detector-response correction of realistic detectors is discussed. In test analyses, we show that this method can successfully re- construct the cumulants of true distribution for various response matrices including the one having multiplicity-dependent efficiency.