Four-loop collinear anomalous dimensions in QCD and $\mathcal{N} = 4$ super Yang-Mills

TL;DR

This paper computes four-loop collinear anomalous dimensions in massless QCD and $ ext{N}=4$ super Yang-Mills, providing precise numerical results and conjectures for their analytic forms based on infrared pole analysis.

Contribution

It presents the first four-loop calculations of collinear anomalous dimensions in these theories, with conjectured analytic expressions and high-precision numerical approximations.

Findings

Numerical approximations of four-loop collinear anomalous dimensions.

Conjectured analytic formulas for these dimensions.

Insights into infrared pole structures in QCD and $ ext{N}=4$ SYM.

Abstract

We calculate the collinear anomalous dimensions in massless four-loop QCD and $\mathcal{N} = 4$ supersymmetric Yang-Mills theory from the infrared poles of vertex form factors. We give very precise numerical approximations and a conjecture for the complete analytic results in both models we consider.