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

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Date
2018-07Type
- Journal Article
Citations
Cited 69 times in
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Cited 80 times in
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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≤16N≤16. The results provide new information on the structure of the next-to-next-to-next-to-leading order (N3LO) splitting functions View the MathML sourcePik(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. Show more
Permanent link
https://doi.org/10.3929/ethz-b-000271734Publication status
publishedExternal links
Journal / series
Physics Letters BVolume
Pages / Article No.
Publisher
ElsevierMore
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Citations
Cited 69 times in
Web of Science
Cited 80 times in
Scopus
ETH Bibliography
yes
Altmetrics