Soft anomalous dimensions and resummation in QCD

TL;DR

This paper reviews the role of soft anomalous dimensions in QCD for threshold resummation, providing detailed multi-loop expressions for various processes involving Standard Model particles.

Contribution

It presents new results for soft anomalous dimensions at three loops across many processes, enhancing precision in QCD resummation techniques.

Findings

Explicit expressions for one, two, and three-loop soft anomalous dimensions.

Application to processes involving top quarks, electroweak bosons, and Higgs bosons.

Improved understanding of threshold 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.