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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1805.09638v1.pdf - Author Accepted Manuscript Download (112kB) | Preview |
Abstract
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 |
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