Report/Journal Article

PUBDB-2017-11693

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Four-loop non-singlet splitting functions in the planar limit and beyond

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

2017
Springer Berlin

This record in other databases:        

Please use a persistent id in citations: doi:10.1007/JHEP10(2017)041  doi:10.3204/PUBDB-2017-11693

Report No.: DESY-17-106; LTH-1139; NIKHEF-2017-034; arXiv:1707.08315

Abstract: We present the next-to-next-to-next-to-leading order (N$^3$LO) contributions to the non-singlet splitting functions for both parton distribution and fragmentation functions in perturbative QCD. The exact expressions are derived for the terms contributing in the limit of a large number of colours. For the remaining contributions, approximations are provided that are sufficient for all collider-physics applications. From their threshold limits we derive analytical and high-accuracy numerical results, respectively, for all contributions to the four-loop cusp anomalous dimension for quarks, including the terms proportional to quartic Casimir operators. We briefly illustrate the numerical size of the four-loop corrections, and the remarkable renormalization-scale stability of the N$^3$LO results, for the evolution of the non-singlet parton distribution and the fragmentation functions. Our results appear to provide a first point of contact of four-loop QCD calculations and the so-called wrapping corrections to anomalous dimensions in $\mathcal{N} =$ 4 super Yang-Mills theory.

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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 2017

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Database coverage:
; ; ; ; Current Contents - Physical, Chemical and Earth Sciences ; DOAJ Seal ; IF >= 5 ; JCR ; Nationallizenz ; SCOPUS ; Science Citation Index ; Science Citation Index Expanded ; Thomson Reuters Master Journal List ; Web of Science Core Collection

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Preprint/Report Moch, S. (Corresponding author)Extern* ; Ruijl, B. ; Ueda, T. ; Vermaseren, J. A. M. ; Vogt, A.
Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond
[10.3204/PUBDB-2017-10329]     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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