# Skewness of the elliptic flow distribution in $\sqrt{s_{_{\mathrm{NN}}}}$ = 5.02~TeV PbPb collisions from HYDJET++ model

## TL;DR

This paper investigates the skewness of elliptic flow fluctuations in PbPb collisions at 5.02 TeV using the HYDJET++ model, comparing results with CMS data to understand flow asymmetries and hydrodynamic behavior.

## Contribution

It introduces a detailed analysis of elliptic flow skewness and its relation to hydrodynamics within the HYDJET++ model, validated against experimental data.

## Key findings

- HYDJET++ reproduces flow fluctuation skewness well
- Flow ratios suggest hydrodynamic-like behavior
- Results agree qualitatively and quantitatively with CMS measurements

## Abstract

The elliptic flow ($v_{2}$) event-by-event fluctuations in PbPb collisions at 5.02~TeV are analyzed within the HYDJET++ model. Using the multi-particle, so called Q-cumulant method, $v_{2}\{2\}$, $v_{2}\{4\}$, $v_{2}\{6\}$ and $v_{2}\{8\}$ are calculated and used to study their ratios and to construct skewness ($\gamma^{exp}_{1}$) as a measure of the asymmetry of the elliptic flow distribution. Additionally, in order to check if there is a hydrodynamics nature in the elliptic collectivity generated by the HYDJET++ model, the ratio of $v_{2}\{6\} - v_{2}\{8\}$ and $v_{2}\{4\} - v_{2}\{6\}$ distribution is calculated. The analysis is performed as a function of the collision centrality. In order to check the HYDJET++ model responses, the results of this analysis are compared to the corresponding experimental measurements by CMS. A good qualitative and rather good quantitative agreement is found.