We report on recent progress on the flavour non-singlet splitting functions in perturbative QCD. The~exact four-loop (N^3LO) contribution to these functions has been obtained in the planar limit of a large number of colours. Phenomenologically sufficient approximate expressions have been obtained for the parts not exactly known so far. Both cases include results for the four-loop cusp and virtual anomalous dimensions which are relevant well beyond the evolution of non-singlet quark distributions, for which an accuracy of (well) below 1% has now been been reached.
@article{arxiv.1801.06085,
title = {Four-loop results on anomalous dimensions and splitting functions in QCD},
author = {A. Vogt and S. Moch and B. Ruijl and T. Ueda and J. A. M. Vermaseren},
journal= {arXiv preprint arXiv:1801.06085},
year = {2018}
}
Comments
11 pages, LaTeX (PoS style), 4 eps-figures. Contribution to the proceedings of `RADCOR 2017', St. Gilgen (Austria), September 2017