English

Four-loop massive cusp anomalous dimension in QCD: a calculation from asymptotics

High Energy Physics - Phenomenology 2023-03-15 v2 High Energy Physics - Theory

Abstract

I present a general method for determining the massive cusp anomalous dimension in QCD to a very high degree of accuracy using its asymptotic behavior at small and large quark velocities. I show that the method works exceedingly well at two and three loops where exact results are already known. I then present a calculation of the massive cusp anomalous dimension using its asymptotics at four loops, and I provide a detailed study of the results for different values of the number of flavors and for separate color structures. The method can be further extended and applied to higher numbers of loops.

Keywords

Cite

@article{arxiv.2301.05972,
  title  = {Four-loop massive cusp anomalous dimension in QCD: a calculation from asymptotics},
  author = {Nikolaos Kidonakis},
  journal= {arXiv preprint arXiv:2301.05972},
  year   = {2023}
}

Comments

21 pages, 7 figures; v2 has additional study of color structures

R2 v1 2026-06-28T08:11:48.275Z