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Conference Papers Year : 2014

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

Abstract

In this talk we present the result for the $n_f$ 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 ${\mathcal N}=4$ 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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cea-01297563 , version 1 (05-04-2023)

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Andrey Grozin, Johannes M. Henn, Gregory P. Korchemsky, Peter Marquard. The $n_{f}$ terms of the three-loop cusp anomalous dimension in QCD. LL2014 - 12th DESY Workshop on Elementary Particle Physics: Loops and Legs in Quantum Field Theory, Apr 2014, Weimar, Germany. pp.016, ⟨10.22323/1.211.0016⟩. ⟨cea-01297563⟩
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