Long Range Azimuthal Correlations of Multiple Gluons in Gluon Saturation Limit

TL;DR

This paper derives a comprehensive formula for gluon correlations in high-energy collisions, enabling detailed analysis of multi-gluon interactions and their role in phenomena like flow and ridge structures.

Contribution

It introduces a superdiagram-based method to calculate gluon cumulants with full rapidity and transverse momentum dependence, advancing understanding of gluon correlations in the glasma state.

Findings

Derived a general formula for gluon cumulants.

Enabled analysis of multi-gluon correlations in various collision systems.

Facilitated studies of flow coefficients and ridge phenomena.

Abstract

We calculate the inclusive gluon correlation function for arbitrary number of gluons with full rapidity and transverse momentum dependence for the initial glasma state of the p-p, p-A and A-A collisions. The formula we derive via superdiagrams generates cumulants for any number of gluons. Higher order cumulants contain information on correlations between multiple gluons, and they are necessary for calculations of higher dimensional ridges as well as flow coefficients from multi-particle correlations.