Dijet production in DIS off a large nucleus at next-to-eikonal accuracy in a Gaussian model within the CGC framework

TL;DR

This paper develops a Gaussian model within the CGC framework to evaluate next-to-eikonal corrections in dijet production in deep inelastic scattering off a large nucleus, identifying which operator structures contribute.

Contribution

It introduces a general Gaussian model to compute beyond-eikonal Wilson line structures and applies it specifically to dijet production, revealing the specific operators that contribute at next-to-eikonal accuracy.

Findings

Some next-to-eikonal operators do not contribute to dijet production.

Certain operators vanish identically at this order.

Corrections originate from specific operator types and three-point correlators.

Abstract

We develop a Gaussian model to evaluate the decorated dipole and quadrupole operators that arise beyond the eikonal approximation in the Color Glass Condensate framework. While the method is general and applicable to arbitrary beyond-eikonal Wilson line structures, we employ it for dijet production in deep inelastic scattering at next-to-eikonal accuracy. After validating the model at the eikonal level, we compute all next-to-eikonal operator structures entering the dijet cross section. We show that some of them do not contribute to this observable, while others vanish identically. Therefore, in the Gaussian model next-to-eikonal corrections to dijet production in deep inelastic scattering originate solely from a given type of operators and from next-to-eikonal three-point correlators. The resulting expressions are provided in a form suitable for numerical implementation.