# Elliptic Flow in Small Systems due to Elliptic Gluon Distributions?

## TL;DR

This paper explores how elliptic gluon Wigner distributions influence particle correlations in high-energy proton-nucleus collisions, providing a potential explanation for observed elliptic flow phenomena.

## Contribution

It introduces a novel application of elliptic gluon Wigner distributions to explain azimuthal correlations in small systems using the double parton scattering mechanism.

## Key findings

- Qualitative agreement with experimental $v_2$ data
- Highlights the role of elliptic gluon distributions in small system flow
- Encourages further rigorous studies of gluon Wigner functions

## Abstract

We investigate the contributions from the so-called elliptic gluon Wigner distributions to the rapidity and azimuthal correlations of particles produced in high energy $pA$ collisions by applying the double parton scattering mechanism. We compute the `elliptic flow' parameter $v_2$ as a function of the transverse momentum and rapidity, and find qualitative agreement with experimental observations. This shall encourage further developments with more rigorous studies of the elliptic gluon distributions and their applications in hard scattering processes in $pp$ and $pA$ collisions.