On DIS Wilson coefficients in N = 4 super Yang-Mills theory

TL;DR

This paper computes next-to-leading order Wilson coefficients for deep inelastic scattering in N=4 super Yang-Mills theory, revealing their relation to QCD coefficients and analyzing their high-energy behavior.

Contribution

It provides the first NLO calculation of DIS Wilson coefficients in N=4 SYM and connects these results to QCD through transcendentality matching.

Findings

Wilson coefficients exhibit uniform transcendentality

They match the highest transcendentality part of QCD coefficients

Predicted NNLO Wilson coefficients for N=4 SYM from QCD results

Abstract

In this note we evaluate Wilson coefficients for "deep inelastic scattering" (DIS) in N=4 SYM theory at NLO in perturbation theory, using as a probe an R-symmetry conserved current. They exhibit uniform transcendentality and coincide with the piece of highest transcendentality in the corresponding QCD Wilson coefficients. We extract from the QCD result a NNLO prediction for the N=4 SYM Wilson coefficient, and comment on the features of its Regge limit asymptotics.