On the Casimir scaling violation in the cusp anomalous dimension at small angle

Andrey Grozin, Johannes Henn, Maximilian Stahlhofen

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)

Abstract

We compute the four-loop nf contribution proportional to the quartic Casimir of the QCD cusp anomalous dimension as an expansion for small cusp angle ϕ. This piece is gauge invariant, violates Casimir scaling, and first appears at four loops. It requires the evaluation of genuine non-planar four-loop Feynman integrals. We present results up to O(ϕ4). One motivation for our calculation is to probe a recent conjecture on the all-order structure of the cusp anomalous dimension. As a byproduct we obtain the four-loop HQET wave function anomalous dimension for this color structure.

Original languageEnglish
Article number52
Number of pages13
JournalJournal of High Energy Physics
Volume2017
Issue number10
DOIs
Publication statusPublished - 1 Oct 2017

Keywords

  • Effective Field Theories
  • Heavy Quark Physics
  • Perturbative QCD
  • Resummation
  • Resum-mation
  • QCD
  • INTEGRATION
  • EXPONENTIATION
  • HQET
  • RENORMALIZATION

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