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arxiv: 1203.1019 · v2 · pith:GVMDO6OWnew · submitted 2012-03-05 · ✦ hep-th · hep-ph

The cusp anomalous dimension at three loops and beyond

classification ✦ hep-th hep-ph
keywords cuspanomalousdimensionlimitloopsthreeagreementamplitudes
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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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