The cusp anomalous dimension at three loops and beyond

Details The cusp anomalous dimension at three loops and beyond The cusp anomalous dimension at three loops and beyond

2012-03-05

arxiv.org/abs/1203.1019v1

Physics

High Energy Physics

High Energy Physics - Theory

33 pages, 6 figures

Scientific paper

We derive an analytic formula at three loops for the cusp anomalous dimension Gamma_cusp(phi) 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.

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