English

The Four-Loop Cusp Anomalous Dimension from the $\mathcal{N} = 4$ Sudakov Form Factor

High Energy Physics - Theory 2020-06-10 v1 High Energy Physics - Phenomenology

Abstract

We present an analytic derivation of the full four-loop cusp anomalous dimension of N=4\mathcal{N}=4 supersymmetric Yang-Mills theory from the Sudakov form factor. To extract the cusp anomalous dimension, we calculate the ϵ2\epsilon^{-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\mathcal{N}=4 model.

Keywords

Cite

@article{arxiv.1912.13459,
  title  = {The Four-Loop Cusp Anomalous Dimension from the $\mathcal{N} = 4$ Sudakov Form Factor},
  author = {Tobias Huber and Andreas von Manteuffel and Erik Panzer and Robert M. Schabinger and Gang Yang},
  journal= {arXiv preprint arXiv:1912.13459},
  year   = {2020}
}

Comments

13 pages

R2 v1 2026-06-23T13:00:07.993Z