English

The three-loop cusp anomalous dimension in QCD

High Energy Physics - Phenomenology 2015-03-05 v1 High Energy Physics - Theory

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 nfn_{f}-dependent terms of the four-loop cusp anomalous dimension.

Keywords

Cite

@article{arxiv.1409.0023,
  title  = {The three-loop cusp anomalous dimension in QCD},
  author = {Andrey Grozin and Johannes M. Henn and Gregory P. Korchemsky and Peter Marquard},
  journal= {arXiv preprint arXiv:1409.0023},
  year   = {2015}
}

Comments

5 pages, 2 figures

R2 v1 2026-06-22T05:44:25.059Z