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

Andrey Grozin (1) , Johannes M. Henn (2) , Gregory P. Korchemsky (3) , Peter Marquard (4)

1 BINP - Budker Institute of Nuclear Physics
2 IAS - Institute for Advanced Study [Princeton]
3 IPHT - Institut de Physique Théorique - UMR CNRS 3681
4 DESY - Deutsches Elektronen-Synchrotron [Hamburg]

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.

Domains: High Energy Physics - Theory [hep-th]; High Energy Physics - Phenomenology [hep-ph]

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⟩