Higher order fluctuations of conserved charges in heavy ion collisions

TL;DR

This paper studies how global charge conservation influences fluctuations of conserved charges in heavy ion collisions, concluding it does not affect net-electric charge fluctuation measurements due to finite diffusion in the hadronic stage.

Contribution

It provides a theoretical analysis of the impact of global charge conservation on cumulants in heavy ion collisions, emphasizing the role of diffusion in the hadronic medium.

Findings

Global charge conservation does not impact net-electric charge fluctuation measurements.

Finite diffusion distance in the hadronic stage mitigates conservation effects.

Cumulant evolution is studied in a finite rapidity window.

Abstract

We investigate the effect of the global charge conservation on the cumulants of conserved charges in relativistic heavy ion collisions in a finite rapidity window by studying the time evolution of cumulants in the hadronic medium. It is argued that the global charge conservation does not affect the experimental result of the net-electric charge fluctuation observed by ALICE, because of the finite diffusion distance of charged particles in the hadronic stage.