Four-loop splitting functions in QCD – The quark-quark case

Falcioni, Giulio; Herzog, Franz; Vogt, Andreas; Moch, Sven-Olaf

doi:10.1016/j.physletb.2023.137944

Journal Article

PUBDB-2023-00796

Four-loop splitting functions in QCD – The quark-quark case

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

2023
North-Holland Publ. Amsterdam

Physics letters / B 842, 137944 (2023) [10.1016/j.physletb.2023.137944]

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Please use a persistent id in citations: doi:10.1016/j.physletb.2023.137944 doi:10.3204/PUBDB-2023-00796

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.

Classification:

ddc:530

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

Contributing Institute(s):

Uni Hamburg / Theorie (UNI/TH)

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Medline

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