The four-loop cusp anomalous dimension from the N=4 Sudakov form factor

Abstract

We present an analytic derivation of the full four-loop cusp anomalous dimension of N=4 supersymmetric Yang-Mills theory from the Sudakov form factor. To extract the cusp anomalous dimension, we calculate the ϵ−2 pole of the form factor using parametric integrations of finite integrals. We provide uniformly transcendental results for the master integrals through to weight six and confirm a very recent independent analytic result for the full four-loop cusp anomalous dimension of the N=4 model.