DIS dijet production at next-to-eikonal accuracy in the CGC

TL;DR

This paper advances the theoretical understanding of dijet production in deep inelastic scattering at low x by calculating next-to-eikonal corrections, including finite target width and background field dynamics, providing more accurate predictions.

Contribution

It introduces a comprehensive next-to-eikonal calculation framework for dijet production in the CGC, incorporating all relevant corrections to the eikonal approximation.

Findings

Derived explicit expressions for dijet cross sections with next-to-eikonal corrections.

Identified the role of target width and background field dynamics in the process.

Presented a sum of generalized eikonal and correction terms involving decorated operators.

Abstract

We compute dijet production in Deep Inelastic Scattering at low $x$ in the dipole formalism at next-to-eikonal accuracy. We calculate the contributions induced by single photon exchange of either longitudinal or transverse polarization. We include all types of corrections to the eikonal approximation in the gluon background field: (i) finite longitudinal width of the target, (ii) interaction of the quark-antiquark pair with the subleading (transverse) component of the background field and (iii) dynamics of the target which is encoded in the $z^-$-coordinate dependence of the background field. The final expressions for the dijet cross section are written as sum of a "generalized eikonal" contribution (where longitudinal momentum $p^+$ exchange between the target and the incoming quark-antiquark pair is allowed since the average $z^-$ dependence of the background field is kept) and explicit next-to-eikonal corrections that involve decorated dipole and quadrupole operators.