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High Energy Physics - Phenomenology

arXiv:2111.15561 (hep-ph)
[Submitted on 30 Nov 2021]

Title:Low moments of the four-loop splitting functions in QCD

Authors:S. Moch (Hamburg U., Inst. Theor. Phys. II), B. Ruijl (Zurich, ETH), T. Ueda (Seikei U.), J.A. M. Vermaseren (Nikhef, Amsterdam), A. Vogt (Liverpool U., Dept. Math)
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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 alpha_s. 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 alpha_s-coefficients of order one and sub-percent effects on the scale derivatives of the quark and gluon distributions at alpha_s ~< 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.
Comments: 11 pages, LaTeX, 2 figures. Analytical results in ancillary FORM file
Subjects: High Energy Physics - Phenomenology (hep-ph)
Report number: DESY 21-203, NIKHEF 21-030, LTH 1282
Cite as: arXiv:2111.15561 [hep-ph]
  (or arXiv:2111.15561v1 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.2111.15561
Related DOI: https://doi.org/10.1016/j.physletb.2021.136853

Submission history

From: Andreas Vogt [view email]
[v1] Tue, 30 Nov 2021 16:54:04 UTC (37 KB)
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