Double inclusive small-x gluon production and their azimuthal correlations in a biased ensemble

TL;DR

This paper investigates how biases in the gluon distribution of colliding hadrons affect double gluon production and azimuthal correlations at small-x, providing explicit calculations for various bias scenarios.

Contribution

It introduces a method to analyze the impact of biased gluon ensembles on double inclusive gluon production and azimuthal correlations in high-energy collisions.

Findings

Explicit expressions for double gluon transverse momentum spectra.

Demonstration of bias effects on azimuthal correlations.

Analysis of different bias scenarios on gluon distributions.

Abstract

We consider double $gg\rightarrow g$ production in the presence of a bias on the unintegrated gluon distribution of the colliding hadron or nuclei. Such bias could be due to the selection of configurations with a greater number of gluons or higher mean transverse momentum squared or, more generally, due to a modified spectral shape of the gluon distribution in the hadrons. Hence, we consider reweighted functional averages over the stochastic ensemble of small-x gluons. We evaluate explicitly the double inclusive gluon transverse momentum spectrum in high-energy collisions, and their azimuthal correlations, for a few simple examples of biases.