Toward the energy and the system size dependece of elliptic flow: working on flow fluctuations

TL;DR

This paper explores methods to accurately measure elliptic flow in heavy-ion collisions by accounting for flow fluctuations and non-flow effects, introducing a new Bessel Transform approach that enhances understanding of energy and system size dependencies.

Contribution

It introduces a novel Bessel Transform method for analyzing flow vector distributions, providing a clearer interpretation similar to Lee-Yang Zeroes, to improve flow fluctuation measurements.

Findings

Bessel Transform method is effective for flow analysis.

Flow fluctuations significantly impact elliptic flow measurements.

The approach clarifies the role of initial eccentricity fluctuations.

Abstract

In this talk I concentrate on two topics closely related to the understanding of the energy and the system size dependence of the elliptic flow: determination of the elliptic flow ($v_2$) ``free'' from the effects of non-flow and flow fluctuations, and the role of fluctuations in the initial eccentricity of the overlap region. I introduce a new approach for the analysis of the distribution in flow vector, $dP/dq_n$, namely, I propose to use the Bessel Transform of this ditribution. I show that the Bessel Transform method is similar to the Lee-Yang Zeroes method, and is very transparent in its meaning and applications.