Investigating the correlations of flow harmonics in 2.76A TeV Pb--Pb collisions

TL;DR

This study uses viscous hydrodynamics to analyze flow harmonic correlations in Pb--Pb collisions at 2.76A TeV, revealing specific positive and negative correlations and the insensitivity of certain normalized cumulants to QGP viscosity.

Contribution

It provides a detailed analysis of flow harmonic correlations using viscous hydrodynamics, highlighting the dependence on initial conditions and viscosity.

Findings

Correlations between v2 and v4, v2 and v5, v3 and v5 are observed.

Anti-correlations between v2 and v3, v3 and v4 are found.

NSC^{v}(3, 2) is insensitive to QGP viscosity.

Abstract

This proceeding briefly summarizes our recent investigations on the correlations of flow harmonics in 2.76A TeV Pb--Pb collisions with viscous hydrodynamics {\tt VISH2+1}. We calculated both the symmetric cumulants $SC^{v}(m, n)$ and the normalized symmetric cumulants $NSC^{v}(m, n)$, and found $v_{2}$ and $v_{4}$, $v_{2}$ and $v_{5}$, $v_{3}$ and $v_{5}$ are correlated, $v_{2}$ and $v_{3}$, $v_{3}$ and $v_{4}$ are anti-correlated. We also found $NSC^{v}(3, 2)$ are insensitive to the QGP viscosity, which are mainly determined by the initial conditions.