Fermionic corrections to quark and gluon form factors in four-loop QCD

TL;DR

This paper presents a comprehensive four-loop QCD calculation of fermionic corrections to quark and gluon form factors, confirming previous conjectures and advancing understanding of high-order quantum chromodynamics effects.

Contribution

It provides the first complete analytical computation of four-loop fermionic corrections to key form factors in QCD, including non-planar integrals and collinear anomalous dimensions.

Findings

Confirmed a conjecture for non-fermionic contributions to collinear anomalous dimensions.

Computed all four-loop fermionic corrections to photon-quark and Higgs-gluon form factors.

Validated analytical forms of non-planar vertex integrals.

Abstract

We analytically compute all four-loop QCD corrections to the photon-quark and Higgs-gluon form factors involving a closed massless fermion loop. Our calculation of non-planar vertex integrals confirms a previous conjecture for the analytical form of the non-fermionic contributions to the collinear anomalous dimensions of quarks and gluons.