Open Access
,
volume 825
,
pages 136853
Low moments of the four-loop splitting functions in QCD
Publication type: Journal Article
Publication date: 2022-02-01
scimago Q1
wos Q1
SJR: 1.383
CiteScore: 8.3
Impact factor: 4.5
ISSN: 03702693, 18732445
Nuclear and High Energy Physics
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.
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46
Total citations:
46
Citations from 2024:
29
(63.05%)
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MOCH S. et al. Low moments of the four-loop splitting functions in QCD // Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2022. Vol. 825. p. 136853.
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MOCH S., Ruijl B., Ueda T., VERMASEREN J. A. M., Vogt A. Low moments of the four-loop splitting functions in QCD // Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2022. Vol. 825. p. 136853.
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RIS
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TY - JOUR
DO - 10.1016/j.physletb.2021.136853
UR - https://doi.org/10.1016/j.physletb.2021.136853
TI - Low moments of the four-loop splitting functions in QCD
T2 - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
AU - MOCH, Sven-Olaf
AU - Ruijl, Ben
AU - Ueda, Takahiro
AU - VERMASEREN, J. A. M.
AU - Vogt, A.
PY - 2022
DA - 2022/02/01
PB - Elsevier
SP - 136853
VL - 825
SN - 0370-2693
SN - 1873-2445
ER -
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@article{2022_MOCH,
author = {Sven-Olaf MOCH and Ben Ruijl and Takahiro Ueda and J. A. M. VERMASEREN and A. Vogt},
title = {Low moments of the four-loop splitting functions in QCD},
journal = {Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics},
year = {2022},
volume = {825},
publisher = {Elsevier},
month = {feb},
url = {https://doi.org/10.1016/j.physletb.2021.136853},
pages = {136853},
doi = {10.1016/j.physletb.2021.136853}
}