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High Energy Physics - Phenomenology

arXiv:2310.05744 (hep-ph)
[Submitted on 9 Oct 2023]

Title:Additional moments and x-space approximations of four-loop splitting functions in QCD

Authors:S. Moch (Hamburg U., Inst. Theor. Phys. II), B. Ruijl (ETH, Zurich), T. Ueda (Juntendo U.), J. Vermaseren (Nikhef, Amsterdam), A. Vogt (Liverpool U., Dept. Math.)
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Abstract:We have extended our previous computations of the even-N moments of the flavour-singlet four-loop splitting functions to N = 12 for the pure-singlet quark case and N = 10 for all other cases. These results, obtained using physical quantities in inclusive deep-inelastic scattering, have been and will be used to validate conceptionally much more challenging determinations of these splitting functions from off-shell operator matrix elements (OMEs). For the quark-gluon and gluon-gluon splitting functions, which have yet to be computed to higher N using OMEs, we construct approximations based on our moments and endpoint constraints, where we present new large-x results for the gluon-gluon case. These approximations facilitate an approximate N^3LO evolution of parton distributions which are sufficiently accurate outside the region of small momentum fractions x.
Comments: 14 pages, 3 figures. Analytical and numerical results in ancillary FORM and Fortran files
Subjects: High Energy Physics - Phenomenology (hep-ph)
Report number: DESY-23-150, Nikhef 23-016, LTH 1354
Cite as: arXiv:2310.05744 [hep-ph]
  (or arXiv:2310.05744v1 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.2310.05744

Submission history

From: Andreas Vogt [view email]
[v1] Mon, 9 Oct 2023 14:19:08 UTC (110 KB)
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