Soft anomalous dimensions and resummation in QCD

Abstract

I discuss and review soft anomalous dimensions in QCD that describe soft-gluon threshold resummation for a wide range of hard-scattering processes. The factorization properties of the cross section in moment space and renormalization-group evolution are implemented to derive a general form for differential resummed cross sections. Detailed expressions are given for the soft anomalous dimensions at one, two, and three loops, including some new results, for a large number of partonic processes involving top quarks, electroweak bosons, Higgs bosons, and other particles in the Standard Model and beyond.

31 pages; invited review paper; minor changes in v2

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Cited by in corpus (9)

• Higher-order corrections for $tW$ production at high-energy hadron colliders
• Soft-gluon corrections for the associated production of a single top quark and a Higgs boson
• Higher-order corrections in $t\bar{t}\gamma$ cross sections
• Four-loop massive cusp anomalous dimension in QCD: a calculation from asymptotics
• Soft-gluon corrections in $t\bar{t}W$ production
• SMEFT chromomagnetic dipole operator contributions to $t\bar{t}$ production at approximate NNLO in QCD
• Towards Colour Flow Evolution at Two Loops
• Three-loop soft anomalous dimensions for top-quark processes
• Three-loop soft anomalous dimensions in QCD