The n_f terms of the three-loop cusp anomalous dimension in QCD

2014/06/30 by Grozin, Andrey, Henn, Johannes M., Korchemsky, Gregory P. +1
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.1406.7828

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.

Related

• The full four-loop cusp anomalous dimension in \N=4 super Yang-Mills and QCD
• A planar four-loop form factor and cusp anomalous dimension in QCD
• Four-loop results for the cusp anomalous dimension
• Four-loop results on anomalous dimensions and splitting functions in QCD
• Anomalous dimensions and splitting functions beyond the next-to-next-to-leading order