# Diffractive dijet production from the Color Glass Condensate and the small-$x$ gluon distributions

## TL;DR

This paper predicts how the angular distribution of exclusive dijet production in electron-proton scattering is influenced by small-$x$ gluon distributions and their evolution, highlighting the role of the Wigner distribution in angular correlations.

## Contribution

It introduces predictions for elliptic modulation in dijet production cross sections based on the Color Glass Condensate framework and small-$x$ evolution effects.

## Key findings

- Elliptic modulation decreases with decreasing $x$ due to proton growth.
- Angular correlations are linked to the Wigner distribution.
- Small-$x$ evolution impacts the observable angular modulation.

## Abstract

We study exclusive dijet production in electron-proton deep inelastic scattering at a future Electron Ion Collider. We predict the elliptic modulation of the cross section as a function of the angle between the dijet transverse momentum and the recoil momentum, and show that this modulation is due to non-trivial angular correlations between the transverse coordinate and transverse momentum in the Wigner (or Husimi) distribution. The small-$x$ evolution is shown to decrease the elliptic modulation in the EIC kinematics, because of the growth of the proton with decreasing $x$.