2018年7月10日
On quartic colour factors in splitting functions and the gluon cusp anomalous dimension
Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
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- 巻
- 782
- 号
- 開始ページ
- 627
- 終了ページ
- 632
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.physletb.2018.06.017
- 出版者・発行元
- Elsevier B.V.
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 (N3LO) splitting functions Pik (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.
- ID情報
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- DOI : 10.1016/j.physletb.2018.06.017
- ISSN : 0370-2693
- ORCIDのPut Code : 46119013
- arXiv ID : arXiv:1805.09638
- SCOPUS ID : 85048388892