Next-to-Leading Order corrections to the Next-to-Eikonal DIS structure functions

TL;DR

This paper calculates next-to-leading order corrections to next-to-eikonal contributions in deep inelastic scattering, analyzing divergences and finite parts of structure functions to improve theoretical precision.

Contribution

It provides the first NLO analysis of NEik corrections in DIS, including quark and gluon background effects and divergence treatment.

Findings

NLO corrections to longitudinal structure functions are finite.

Transverse structure function corrections exhibit rapidity and UV divergences.

Finite contributions are extracted after divergence analysis.

Abstract

We compute next-to-leading order (NLO) corrections to next-to-eikonal (NEik) quark background contributions to DIS structure functions. Among NEik corrections, $t$-channel quark exchanges provide the lowest order contributions in $\alpha_s$, and can be represented as insertions of the quark background field of the target. At NLO, we compute NEik corrections induced by both quark and gluon background fields, and suppressed by an explicit factor of $\alpha_s$. We show that the NLO corrections to the NEik longitudinal structure function are finite, while those to the NEik transverse structure function exhibit rapidity and UV divergences. These divergences are analyzed, and the finite contributions are extracted.