Anomalous dimensions and splitting functions beyond the next-to-next-to-leading order
High Energy Physics - Phenomenology
2018-08-29 v1
Abstract
We report on recent progress on the splitting functions for the evolution of parton distributions and related quantities, the (lightlike) cusp anomalous dimensions, in perturbative QCD. New results are presented for the four-loop (next-to-next-to-next-to-leading order, N^3LO) contributions to the flavour-singlet splitting functions and the gluon cusp anomalous dimension. We present first results, the moments N=2 and N=3, for the five-loop (N^4LO) non-singlet splitting functions.
Keywords
Cite
@article{arxiv.1808.08981,
title = {Anomalous dimensions and splitting functions beyond the next-to-next-to-leading order},
author = {A. Vogt and F. Herzog and S. Moch and B. Ruijl and T. Ueda and J. A. M. Vermaseren},
journal= {arXiv preprint arXiv:1808.08981},
year = {2018}
}
Comments
10 pages, LaTeX (PoS style), 3 eps-figures. Contribution to the proceedings of `Loops & Legs 2018', St. Goar (Germany), April/May 2018