# Diffractive Dijet Production and Wigner Distributions from the Color Glass Condensate

## TL;DR

This paper computes gluon Wigner and Husimi distributions in protons using the Color Glass Condensate framework, predicting angular correlations and cross section modulations relevant for future Electron Ion Collider experiments.

## Contribution

It introduces a detailed calculation of gluon Wigner and Husimi distributions with spatial dependence and predicts observable angular correlations in diffractive dijet production at EIC.

## Key findings

- Predicted elliptic modulation of diffractive dijet cross sections.
- Identified energy dependence of angular correlations.
- Provided numerical solutions of JIMWLK equations for proton structure.

## Abstract

Experimental processes that are sensitive to parton Wigner distributions provide a powerful tool to advance our understanding of proton structure. In this work, we compute gluon Wigner and Husimi distributions of protons within the Color Glass Condensate framework, which includes a spatially dependent McLerran-Venugopalan initial configuration and the explicit numerical solution of the JIMWLK equations. We determine the leading anisotropy of the Wigner and Husimi distributions as a function of the angle between impact parameter and transverse momentum. We study experimental signatures of these angular correlations at a proposed Electron Ion Collider by computing coherent diffractive dijet production cross sections in e+p collisions within the same framework. Specifically, we predict the elliptic modulation of the cross section as a function of the relative angle between nucleon recoil and dijet transverse momentum for a wide kinematical range. We further predict its dependence on collision energy, which is dominated by the growth of the proton with decreasing $x$.