# QCD Resummation in Hard Diffractive Dijet Production at the Electron-Ion Collider

## TL;DR

This paper develops an all-order soft gluon resummation framework for diffractive dijet production at the EIC, highlighting its importance for understanding gluon distributions and nucleon tomography.

## Contribution

It introduces a novel resummation formula for soft gluon radiation in diffractive dijet production at the EIC, advancing the theoretical understanding of gluon distributions.

## Key findings

- Resummation significantly improves data description at Fermilab.
- Predictions demonstrate the importance of soft gluon effects at the EIC.
- Resummation aids in nucleon/nucleus tomography studies.

## Abstract

Diffractive dijet production at the electron-ion collider (EIC) has been proposed to study the gluon Wigner distribution at small-$x$. We investigate the soft gluon radiation associated with the final state jets and an all order resummation formula is derived. We show that the soft gluon resummation plays an important role to describe E791 data on $\pi$-induced diffractive dijet production at Fermilab. Predictions for the EIC are presented, and we emphasize that the soft gluon resummation is an important aspect to explore the nucleon/nucleus tomography through these processes.