The three-loop form factor in N=4 super Yang-Mills
Abstract
In this paper we study the Sudakov form factor in N=4 super Yang-Mills theory to the three-loop order. The latter is expressed in terms of planar and non-planar loop integrals. We show that it is possible to choose a representation in which each loop integral has uniform transcendentality. We verify analytically the expected exponentiation of the infrared divergences with the correct values of the three-loop cusp and collinear anomalous dimensions in dimensional regularisation. We find that the form factor in N=4 super Yang-Mills can be related to the leading transcendentality part of the quark and gluon form factors in QCD. We also study the ultraviolet properties of the form factor in D>4 dimensions, and find unexpected cancellations, resulting in an improved ultraviolet behaviour.
Cite
@article{arxiv.1112.4524,
title = {The three-loop form factor in N=4 super Yang-Mills},
author = {Thomas Gehrmann and Johannes M. Henn and Tobias Huber},
journal= {arXiv preprint arXiv:1112.4524},
year = {2015}
}
Comments
34 pages, 9 figures