Four-loop photon quark form factor and cusp anomalous dimension in the large-$N_c$ limit of QCD

TL;DR

This paper calculates four-loop QCD corrections to the massless quark-anti-quark-photon form factor in the large-Nc limit, providing analytic expressions for cusp and collinear anomalous dimensions, advancing precision in quantum chromodynamics calculations.

Contribution

It presents the first four-loop computation of the quark-photon form factor in the large-Nc limit, including explicit analytic results for key anomalous dimensions.

Findings

Derived explicit four-loop expressions for cusp anomalous dimension.

Obtained collinear anomalous dimension at four loops.

Enhanced understanding of high-order QCD corrections.

Abstract

We compute the four-loop QCD corrections to the massless quark-anti-quark-photon form factor $F_q$ in the large-$N_c$ limit. From the pole part we extract analytic expressions for the corresponding cusp and collinear anomalous dimensions.