Non-eikonal corrections to dijet production in DIS

TL;DR

This paper calculates non-eikonal corrections to dijet production in deep inelastic scattering, emphasizing finite nuclear size effects relevant for future Electron Ion Collider experiments.

Contribution

It provides all-order expressions for these corrections, expands beyond the shockwave limit, and finds that certain corrections vanish under specific approximations.

Findings

Next-to-eikonal corrections vanish for the harmonic oscillator approximation.

Derived all-order expressions in terms of two-dimensional path integrals.

Analyzed the back-to-back correlation limit of the corrections.

Abstract

We compute non-eikonal corrections to dijet production in deep inelastic scattering off a nucleus. Such corrections are expected to be quantitatively important at the energies of the future Electron Ion Collider. We focus on those corrections stemming solely from the finite longitudinal size of the nucleus. For both longitudinally and transversely polarized photons, we provide general, all-order expressions in terms of two-dimensional path integrals. To proceed further, we use the harmonic oscillator approximation for the target averages of Wilson lines. We then expand the general expressions order by order beyond the shockwave limit which provides the eikonal results, up to next-to-next-to-eikonal accuracy. We observe that next-to-eikonal corrections to this observable vanish for the mentioned approximation for target averages, as previously found for single gluon production in proton-nucleus collisions. Finally, we calculate the back-to-back of correlation limit of our expressions.