# Subtracting non-critical fluctuations in higher cumulants of conserved charges

## TL;DR

This paper introduces a method to isolate critical fluctuations in conserved charges by subtracting non-critical background effects using mixed event samples, aiding the search for phase transitions in heavy-ion collisions.

## Contribution

The study proposes a novel approach to extract dynamical cumulants that are independent of statistical and systematic effects, improving the detection of critical phenomena in RHIC BES data.

## Key findings

- Dynamical cumulants effectively remove non-critical fluctuations.
- The method yields results independent of centrality bin width and detection efficiency.
- Application to AMPT model data demonstrates the approach's validity.

## Abstract

Using the sample produced by the AMPT default model, we construct a corresponding mixed sample by the method of mixed events. The mixed sample provides an effective estimation for non-critical fluctuations which are caused by global and systematic effects. The dynamical cumulants of conserved charges are defined as the cumulants of the original sample minus the cumulants of the mixed sample. It is demonstrated that dynamical cumulants are subtracted statistical fluctuations, and centrality bin width or detection efficiency independent, in consistent with formulae corrected cumulants. Therefore, dynamical cumulants are helpful in obtaining critical fluctuations at the RHIC BES.