The cusp anomalous dimension at three loops and beyond
High Energy Physics - Theory
2015-06-04 v2 High Energy Physics - Phenomenology
Abstract
We derive an analytic formula at three loops for the cusp anomalous dimension Gamma_cusp(phi) in N=4 super Yang-Mills. This is done by exploiting the relation of the latter to the Regge limit of massive amplitudes. We comment on the corresponding three loops quark anti-quark potential. Our result also determines a considerable part of the three-loop cusp anomalous dimension in QCD. Finally, we consider a limit in which only ladder diagrams contribute to physical observables. In that limit, a precise agreement with strong coupling is observed.
Cite
@article{arxiv.1203.1019,
title = {The cusp anomalous dimension at three loops and beyond},
author = {Diego Correa and Johannes Henn and Juan Maldacena and Amit Sever},
journal= {arXiv preprint arXiv:1203.1019},
year = {2015}
}
Comments
34 pages, 6 figures. v2: references added, typos corrected