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arXiv · 1409.0023

The three-loop cusp anomalous dimension in QCD

Andrey Grozin·Johannes M. Henn·Gregory P. Korchemsky·Peter Marquard
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Abstract

We present the full analytic result for the three-loop angle-dependent cusp anomalous dimension in QCD. With this result, infrared divergences of planar scattering processes with massive particles can be predicted to that order. Moreover, we define a closely related quantity in terms of an effective coupling defined by the light-like cusp anomalous dimension. We find evidence that this quantity is universal for any gauge theory, and use this observation to predict the non-planar $n_{f}$-dependent terms of the four-loop cusp anomalous dimension.

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Andrey Grozin, Johannes M. Henn, Gregory P. Korchemsky, Peter Marquard. 2014-08-29. The three-loop cusp anomalous dimension in QCD. https://doi.org/10.1103/physrevlett.114.062006

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