Correlations between azimuthal asymmetries and multiplicity and mean transverse momentum in small collisions systems in the CGC

TL;DR

This paper uses the Color Glass Condensate framework to analyze the correlations between azimuthal asymmetries, multiplicity, and transverse momentum in small collision systems, finding small correlations consistent with experimental observations.

Contribution

It provides a theoretical calculation of azimuthal asymmetry correlations in pA collisions within the CGC framework, highlighting the impact of quantum correlations.

Findings

Correlations between $v_2^2$ and multiplicity are very small.

Correlations between $v_2^2$ and mean transverse momentum are very small.

A sharp change in $v_2^2$ correlations occurs with the width of the transverse momentum bin.

Abstract

Considering a dilute-dense situation suitable for pA collisions, we compute in the Color Glass Condensate the correlation between azimuthal asymmetries, specifically the squared second Fourier coefficient $v_2^2$, and the total multiplicity in the event. We also analyse the correlation between $v_2^2$ and the mean squared transverse momentum of particles in the event. In both cases, we find that the correlations are generally very small, consistent with the observations. We also note an interesting sharp change in the value of $v_2^2$ and its correlations as a function of the width of the transverse momentum bin, related with a change of the dominance of Bose and HBT quantum correlations.