Elliptic and Triangular Flow and their Correlation in Ultrarelativistic High Multiplicity Proton Proton Collisions at 14 TeV

TL;DR

This study investigates how initial spatial asymmetries in high-multiplicity proton-proton collisions at 14 TeV translate into elliptic and triangular flow, revealing a dynamical correlation during expansion.

Contribution

It introduces a model with hot spots and uses BAMPS to show that flow correlations differ from initial spatial correlations, highlighting non-independent translation of asymmetries.

Findings

The $v_2-v_3$ flow correlation differs from initial $ ext{eccentricity}- ext{triangularity}$ correlation.

A dynamical correlation between elliptic and triangular flow develops during expansion.

Initial spatial asymmetries influence final flow components in a non-trivial way.

Abstract

The spatial configuration of initial partons in high-multiplicity proton-proton scatterings at 14 TeV is assumed as three randomly positioned "hot spots". The parton momentum distribution in the hot spots is calculated by HIJING2.0 with some modifications. This initial condition causes not only large eccentricity $\epsilon_2$ but also triangularity $\epsilon_3$ and the correlation of $\epsilon_2-\epsilon_3$ event-plane angles. The final elliptic flow $v_2$, triangular flow $v_3$, and the correlation of $v_2-v_3$ event-plane angles are calculated by using the parton cascade model BAMPS to simulate the space-time parton evolution. Our results show that the $v_2-v_3$ correlation is different from that of $\epsilon_2-\epsilon_3$. This finding indicates that translations of different Fourier components of the initial spatial asymmetry to the final flow components are not independent. A dynamical correlation between the elliptic and triangular flow appears during the collective expansion.