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

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Andrey Grozin
• Function : Author
Johannes M. Henn
• Function : Author
Gregory P. Korchemsky
• Function : Author
Peter Marquard
• Function : Author

#### 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.

### Dates and versions

cea-01297563 , version 1 (04-04-2016)

### Identifiers

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

### Cite

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⟩

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