Back-to-back dijet production in DIS with finite-energy corrections and twist-3 gluon TMDs

TL;DR

This paper calculates the dijet production cross section in deep inelastic scattering at small x, incorporating finite-energy corrections and twist-3 gluon TMDs, advancing understanding of gluon distributions at high energies.

Contribution

It introduces a next-to-eikonal calculation of the dijet cross section in DIS, linking corrections to twist-2 and twist-3 gluon TMDs, and extends previous results to include finite-energy effects.

Findings

Derived the cross section in the back-to-back limit using TMDs.

Connected next-to-eikonal corrections to the phase of twist-2 gluon TMD.

Related twist-3 unpolarized gluon TMDs to finite-energy effects.

Abstract

This work presents the summary of calculation of the cross section of the dijet production in deep inelastic scattering at small x at next-to-eikonal accuracy. The cross section is calculated in the back-to-back limit of the produced jets using results obtained in our previous works. The cross section is expressed via the transverse-momentum-dependent (TMD) parton distributions. Specifically, we show how the next-to-eikonal corrections are related to the $x$ dependent phase of twist-2 gluon TMD and to twist-3 unpolarized gluon TMDs.