The nfn_{f} terms of the three-loop cusp anomalous dimension in QCD

preprint2014arXivOpen access

Abstract

In this talk we present the result for the nfn_f dependent piece of the three-loop cusp anomalous dimension in QCD. Remarkably, it is parametrized by the same simple functions appearing in analogous anomalous dimensions in N=4{\mathcal N}=4 SYM at one and two loops. We also compute all required master integrals using a recently proposed refinement of the differential equation method. The analytic results are expressed in terms of harmonic polylogarithms of uniform weight.

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