Low moments of the four-loop splitting functions in QCD

Moch, S.; Ueda, T.; Vogt, A.; Vermaseren, J. A. M.; Ruijl, B.

doi:10.1016/j.physletb.2021.136853

Journal Article

PUBDB-2022-04360

Low moments of the four-loop splitting functions in QCD

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

2022
North-Holland Publ. Amsterdam

Physics letters / B 825, 136853 (2022) [10.1016/j.physletb.2021.136853]

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Please use a persistent id in citations: doi:10.1016/j.physletb.2021.136853 doi:10.3204/PUBDB-2022-04360

Report No.: DESY 21-203; LTH 1282; NIKHEF 21-030; arXiv:2111.15561

Abstract: We have computed the four lowest even-N moments of all four splitting functions for the evolution of flavour-singlet parton densities of hadrons at the fourth order in the strong coupling constant αs. The perturbative expansion of these moments, and hence of the splitting functions for momentum fractions x≳0.1, is found to be well behaved with relative αs-coefficients of order one and sub-percent effects on the scale derivatives of the quark and gluon distributions at αs≲0.2. More intricate computations, including other approaches such as the operator-product expansion, are required to cover the full x-range relevant to LHC analyses. Our results are presented analytically for a general gauge group for detailed checks and validations of such future calculations.

Keyword(s): strong interaction: coupling constant ; parton: density ; evolution equation ; DGLAP equation ; splitting function ; operator product expansion ; quantum chromodynamics ; quark ; gluon ; perturbation theory ; higher-order: 4 ; Mellin transformation

Classification:

ddc:530

Note: 11 pages, LaTeX, 2 figures. Analytical results in ancillary FORM file

Contributing Institute(s):

Uni Hamburg / Theorie (UNI/TH)

Research Program(s):

899 - ohne Topic (POF4-899) (POF4-899)

Experiment(s):

Appears in the scientific report 2022

Database coverage:
Medline

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