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 \ amplitudes has been known for some time. By computing the two-loop amplitudes for f\,f X and f\,f V1\,V2 scattering in an SU(N)× SU(M)× U(1) gauge theory, I determine the anomalous dimensions which govern the infrared structure for any massless two-loop amplitude.

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