Three-loop cusp anomalous dimension and a conjecture for $n$ loops
High Energy Physics - Phenomenology
2016-05-25 v2 High Energy Physics - Theory
Abstract
I present analytical expressions for the cusp anomalous dimension in QCD through three loops in terms of elementary functions and ordinary polylogarithms. I observe interesting relations between the results at different loops and provide a conjecture for the -loop cusp anomalous dimension in terms of the lower-loop results. I also present numerical results and simple approximate formulas for the cusp anomalous dimension relevant to top-quark production.
Cite
@article{arxiv.1601.01666,
title = {Three-loop cusp anomalous dimension and a conjecture for $n$ loops},
author = {Nikolaos Kidonakis},
journal= {arXiv preprint arXiv:1601.01666},
year = {2016}
}
Comments
16 pages, 5 figures; a new section has been added and several other additions/changes made in v2