The cusp anomalous dimension at three loops and beyond

Diego Correa*, Johannes Henn, Juan Maldacena, Amit Sever

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

92 Scopus citations


We derive an analytic formula at three loops for the cusp anomalous dimension Γcusp(φ) in N = 4 super Yang-Mills. This is done by exploiting the relation of the latter to the Regge limit of massive amplitudes. We comment on the corresponding three loops quark anti-quark potential. Our result also determines a considerable part of the three-loop cusp anomalous dimension in QCD. Finally, we consider a limit in which only ladder diagrams contribute to physical observables. In that limit, a precise agreement with strong coupling is observed.

Original languageEnglish
Article number98
JournalJournal of High Energy Physics
Issue number5
StatePublished - 2012
Externally publishedYes


  • 't Hooft and Polyakov loops
  • 1/N Expansion
  • AdS-CFT Correspondence
  • Scattering Amplitudes
  • Wilson


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