We calculate the complete quark and gluon cusp anomalous dimensions in four-loop massless QCD analytically from first principles. In addition, we determine the complete matter dependence of the quark and gluon collinear anomalous dimensions. Our approach is to Laurent expand four-loop quark and gluon form factors in the parameter of dimensional regularization. We employ finite field and syzygy techniques to reduce the relevant Feynman integrals to a basis of finite integrals, and subsequently evaluate the basis integrals directly from their standard parametric representations.
@article{arxiv.2002.04617,
title = {Cusp and collinear anomalous dimensions in four-loop QCD from form factors},
author = {Andreas von Manteuffel and Erik Panzer and Robert M. Schabinger},
journal= {arXiv preprint arXiv:2002.04617},
year = {2020}
}
Comments
9 pages, 1 figure; v2: title updated as published, more details on N=4 comparison, results unchanged