The Four-Loop $\mathcal{N}=4$ SYM Sudakov Form Factor

TL;DR

This paper computes the four-loop Sudakov form factor in full color $ 4$ SYM theory, providing detailed results for master integrals with high transcendental weight, advancing understanding of quantum corrections in supersymmetric gauge theories.

Contribution

It presents the first four-loop calculation of the Sudakov form factor in full color $ 4$ SYM, including uniformly transcendental master integrals up to weight eight.

Findings

Four-loop Sudakov form factor computed in full color $ 4$ SYM.

Uniformly transcendental master integrals provided up to weight eight.

Advances the precision of quantum corrections in supersymmetric gauge theories.

Abstract

We present the Sudakov form factor in full color $\mathcal{N}=4$ supersymmetric Yang-Mills theory to four loop order and provide uniformly transcendental results for the relevant master integrals through to weight eight.