Report/Contribution to a conference proceedings

PUBDB-2018-00808

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Four-loop results on anomalous dimensions and splitting functions in QCD

Vogt, A. (Corresponding author) ; Moch, S.Extern* ; Ruijl, B. ; Ueda, T. ; Vermaseren, J. A. M.

2018

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Please use a persistent id in citations: doi:10.3204/PUBDB-2018-00808

Report No.: DESY-18-010; LTH-1150; NIKHEF-2018-004; arXiv:1801.06085

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.

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Contributing Institute(s):

1. Uni Hamburg / Theorie (UNI/TH)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF3-611) (POF3-611)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2018

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