The three-loop cusp anomalous dimension in QCD

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.

5 pages, 2 figures

References in corpus (4)

• Algorithm FIRE -- Feynman Integral REduction
• Two-loop soft anomalous dimensions and NNLL resummation for heavy quark production
• Threshold Resummation for Top-Pair Hadroproduction to Next-to-Next-to-Leading Log
• Fermionic contributions to the three-loop static potential

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• Reducing differential equations for multiloop master integrals
• Understanding the large-distance behavior of transverse-momentum-dependent parton densities and the Collins-Soper evolution kernel
• A factorization approach to next-to-leading-power threshold logarithms
• Cuts and coproducts of massive triangle diagrams