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

By Sven-Olaf Moch, B. Ruijl, Takahiro Ueda, Jos Vermaseren, A. Vogt. Physics Letters B, 2018

152 citations recorded by the source corpus.

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 3 LO) 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.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/33bb9f0567e4ed8bacb7a93fcdc33c0fe1229982

Citations in the corpus

• The full four-loop cusp anomalous dimension in N\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ \mathcal{N} $$\end{do (2019, unknown): “resentation R → A, then one recovers (6.1), as expected [75, 76]. 10Strictly speaking, the n fT F C R F A term is based on a conjecture [70]. The latter agrees perfectly with the numerical value from [39, 40]. – 20 – 7 Conclusion and outlook In thispaper we computed analytically the non-planar part ”