期刊
PHYSICS LETTERS B
卷 782, 期 -, 页码 627-632出版社
ELSEVIER
DOI: 10.1016/j.physletb.2018.06.017
关键词
-
资金
- Deutsche Forschungsgemeinschaft (DFG) [MO 1801/2-1]
- European Research Council (ERC) [320651]
We have computed the contributions of the quartic Casimir invariants to the four-loop anomalous dimensions of twist-2 spin-Noperators at N <= 16. The results provide new information on the structure of the next-to-next-to-next-to-leading order ((NLO)-L-3) splitting functions P-ik((3))(x) for the evolution of parton distributions, and facilitate approximate expressions which include the quartic-Casimir contributions to the (light-like) gluon cusp anomalous dimension. These quantities turn out to be closely related, by a generalization of the lower-order ` Casimir scaling', to the corresponding quark results. Using these findings, we present an approximate result for the four-loop gluon cusp anomalous dimension in QCD which is sufficient for phenomenological applications. (C) 2018 The Author(s). Published by Elsevier B.V.
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