# Hydrodynamical response of plane correlation in Pb+Pb collisions at $\sqrt{s_\text{NN}}$=2.76 TeV

## TL;DR

This paper investigates how initial geometric eccentricities influence the final anisotropic flow and event-plane correlations in Pb+Pb collisions at 2.76 TeV, revealing that initial eccentricities primarily drive the observed correlations.

## Contribution

It provides a systematic theoretical analysis of hydrodynamical responses to initial geometrical eccentricities using Monte Carlo Glauber modeling and introduces a new event set to study participant-plane correlation transformations.

## Key findings

- Final event-plane correlations mainly originate from initial eccentricities.
- Large flow coefficients are linked to strong initial participant-plane correlations.
- Discrepancies in flow coefficients are more pronounced in peripheral collisions.

## Abstract

In high energy heavy-ion collisions, the final anisotropic flow coefficients and their corresponding event-plane correlations are considered as the medium evolutional response to the initial geometrical eccentricities and their corresponding participant-plane correlations. We formulate a systematic theoretical analysis to study the hydrodynamical responses concerning higher order effects in Pb+Pb collisions at $\sqrt{s_\text{NN}}=2.76$ TeV by using Monte Carlo Glauber (MC-Glauber) model. To further understand the transformations of the initial participant-plane correlation, we construct a new set of events which randomize the directions of the initial participant planes of the original events. Our results indicate that the final strong event-plane correlations are mainly transformed from the large initial eccentricities, rather than the strong participant-plane correlations. However, the large flow coefficients and the discrepancies between the flow coefficients calculated by the single-shot and event-by-event simulations in peripheral collisions are relevant to those strong initial participant-plane correlations.