# 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.
Document type :
Preprints, Working Papers, ...
Domain :

https://hal-cea.archives-ouvertes.fr/cea-01297563
Contributor : Emmanuelle de Laborderie Connect in order to contact the contributor
Submitted on : Monday, April 4, 2016 - 2:46:49 PM
Last modification on : Wednesday, April 14, 2021 - 12:12:09 PM

### Identifiers

• HAL Id : cea-01297563, version 1
• ARXIV : 1406.7828

### Citation

Andrey Grozin, Johannes M. Henn, Gregory P. Korchemsky, Peter Marquard. The $n_{f}$ terms of the three-loop cusp anomalous dimension in QCD. 2016. ⟨cea-01297563⟩

Record views