Preprint

PUBDB-2024-06698

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Four-loop splitting functions in QCD – The quark-quark case

Falcioni, G.DESY* ; Herzog, F. ; Moch, S.-O. (Corresponding author)Extern* ; Vogt, A.

2023

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Please use a persistent id in citations: doi:10.3204/PUBDB-2024-06698

Report No.: DESY-23-022; LTH 1333; arXiv:2302.07593

Abstract: We present the even-$N$ moments $N\leq 20$ of the quark pure-singlet splitting function $P_{\rm ps}^{}$ at four loops in perturbative QCD.We have computed the anomalous dimensions of off-shell flavor-singlet operatormatrix elements analytically for a general gauge group.We provide approximations for $P_{\rm ps}^{}$ at four loops that are sufficient for all collider-physics applications.Together with the known results for the non-singlet splitting function $P_{\rm ns}^{\,+}$ at this order, this completes the quark-quark case, $P_{\rm qq} = P_{\rm ns}^{\,+} + P_{\rm ps}^{}$, entering the evolution of parton distribution at N$^3$LO accuracy. The new result is a first step to reduce the residual uncertainty in the parton evolution to percent level precision.

Keyword(s): quark: splitting function ; quantum chromodynamics: perturbation theory ; parton: distribution function ; evolution equation ; higher-order: 4 ; quark quark ; anomalous dimension ; off-shell ; CERN LHC Coll

Note: 17 pages latex, 2 figures, 2 ancillary files (FORM file with results and FORTRAN subroutine)

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Contributing Institute(s):

1. Uni Hamburg / Theorie (UNI/TH)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)353758087 - Kosmopolitismus und Charakter in der afroamerikanischen Literatur des neunzehnten Jahrhunderts (353758087) (353758087)

Experiment(s):

1. LHC: ATLAS
2. LHC: CMS
3. LHC: LHCb

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Database coverage:
; ; Published

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Linked articles:

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Journal Article Falcioni, G. ; Herzog, F. ; Moch, S.-O. (Corresponding author)Extern* ; Vogt, A.Extern*
Four-loop splitting functions in QCD – The quark-quark case
Physics letters / B 842, 137944 (2023) [10.1016/j.physletb.2023.137944]2023     Files  Fulltext by arXiv.org BibTeX | EndNote: XML, Text | RIS

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