Low moments of the four-loop splitting functions in QCD
| Autor: | S. Moch, B. Ruijl, T. Ueda, J.A.M. Vermaseren, A. Vogt |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2022 |
| Předmět: |
higher-order: 4
Nuclear and High Energy Physics Physics QC1-999 density [parton] High Energy Physics::Phenomenology FOS: Physical sciences gluon operator product expansion 4 [higher-order] DGLAP equation quark High Energy Physics - Phenomenology High Energy Physics - Phenomenology (hep-ph) strong interaction: coupling constant evolution equation quantum chromodynamics High Energy Physics::Experiment ddc:530 Mellin transformation parton: density coupling constant [strong interaction] splitting function perturbation theory |
| Zdroj: | Physics letters / B 825, 136853 (2022). doi:10.1016/j.physletb.2021.136853 Physics Letters Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, 825 Physics Letters B, Vol 825, Iss, Pp 136853-(2022) |
| DOI: | 10.1016/j.physletb.2021.136853 |
| Popis: | Physics letters / B 825, 136853 (2022). doi:10.1016/j.physletb.2021.136853 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. Published by North-Holland Publ., Amsterdam |
| Databáze: | OpenAIRE |
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