On quartic colour factors in splitting functions and the gluon cusp anomalous dimension

Moch, S, Ruijl, B, Ueda, T, Vermaseren, JAM and Vogt, A
(2018) On quartic colour factors in splitting functions and the gluon cusp anomalous dimension. PHYSICS LETTERS B, 782. pp. 627-632.

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We have computed the contributions of the quartic Casimir invariants to the four-loop anomalous dimensions of twist-2 spin-N operators at N =< 16. The results provide new information on the structure of the next-to-next-to-next-to-leading order (N^3LO) 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.

Item Type: Article
Additional Information: 12 pages, LaTeX
Uncontrolled Keywords: hep-ph, hep-ph
Depositing User: Symplectic Admin
Date Deposited: 16 Mar 2020 16:23
Last Modified: 18 Jan 2023 23:57
DOI: 10.1016/j.physletb.2018.06.017
Open Access URL: https://doi.org/10.1016/j.physletb.2018.06.017
Related URLs:
URI: https://livrepository.liverpool.ac.uk/id/eprint/3079342