PoS - Proceedings of Science
Volume 290 - 13th International Symposium on Radiative Corrections (Applications of Quantum Field Theory to Phenomenology) (RADCOR2017) - QCD Singular
Four-loop results on anomalous dimensions and splitting functions in QCD
A. Vogt*, S. Moch, B. Ruijl, T. Ueda and J.A.M. Vermaseren
Full text: pdf
Pre-published on: March 08, 2018
Published on: July 02, 2018
Abstract
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.
DOI: https://doi.org/10.22323/1.290.0046
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