The Two-Loop Infrared Structure of Amplitudes with Mixed Gauge Groups

Abstract

The infrared structure of (multi-loop) scattering amplitudes is determined entirely by the identities of the external particles participating in the scattering. The two-loop infrared structure of pure \qcd\ amplitudes has been known for some time. By computing the two-loop amplitudes for $\bar{f}f⟶X$ and $\bar{f}f⟶V_1{V}_2$ scattering in an $SU(N)\times SU(M)\times U(1)$ gauge theory, I determine the anomalous dimensions which govern the infrared structure for any massless two-loop amplitude.

12 pages, 4 figures. arXiv admin note: text overlap with arXiv:1205.4015

References in corpus (6)

• The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole
• The Two-loop Anomalous Dimension Matrix for Soft Gluon Exchange
• On soft singularities at three loops and beyond
• The Massive Soft Anomalous Dimension Matrix at Two Loops
• Computation of the Soft Anomalous Dimension Matrix in Coordinate Space
• Two-Loop Virtual Corrections to Drell-Yan Production at order alpha_s alpha^3

Cited by in corpus (4)

• Numerical Multi-Loop Calculations via Finite Integrals and One-Mass EW-QCD Drell-Yan Master Integrals
• QCD$\times$QED evolution of TMDs
• Two-loop mixed QCD-EW corrections to neutral current Drell-Yan
• Infrared structure of $SU(N)\times U(1)$ gauge theory to three loops