# Towards a complete next-to-logarithmic description of forward exclusive diffractive dijet electroproduction at HERA: real corrections

## TL;DR

This paper advances the theoretical understanding of diffractive dijet electroproduction at HERA by calculating real corrections and analyzing the cross section with specific approximations, matching experimental data at large .

## Contribution

It provides a next-to-logarithmic level description of the process including real corrections, using specific impact factor approximations and the GBW model, which improves theoretical predictions.

## Key findings

- Reproduces about half of the observed cross section at small .
- Matches the observed cross section at large .
- Employs the exclusive $k_t$-algorithm with a specific $y_{cut}$ approximation.

## Abstract

We studied the $ep\rightarrow ep+2jets$ diffractive cross section with ZEUS phase space. Neglecting the $t$-channel momentum in the Born and gluon dipole impact factors, we calculated the corresponding contributions to the cross section differential in $\beta=\frac{Q^{2}}{Q^{2}+M_{2jets}^{2}}$ and the angle $\phi$ between the leptonic and hadronic planes. The gluon dipole contribution was obtained in the exclusive $k_{t}$-algorithm with the exclusive cut $y_{cut}=0.15$ in the small $y_{cut}$ approximation. In the collinear approximation we canceled singularities between real and virtual contributions to the $q\bar{q}$ dipole configuration, keeping the exact $y_{cut}$ dependency. We used the Golec-Biernat - W\"usthoff (GBW) parametrization for the dipole matrix element and linearized the double dipole contributions. The results give roughly $\frac{1}{2}$ of the observed cross section for small $\beta$ and coincides with it for large $\beta.$