The two-loop infrared structure of amplitudes with mixed gauge groups

William B. Kilgore

doi:10.1140/epjc/s10052-013-2603-7

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2023 Impact factor 4.2

Particles and Fields

Eur. Phys. J. C (2013) 73: 2603
https://doi.org/10.1140/epjc/s10052-013-2603-7

Regular Article - Theoretical Physics

The two-loop infrared structure of amplitudes with mixed gauge groups

William B. Kilgore^*

Physics Department, Brookhaven National Laboratory, Upton, NY, 11973, USA

^* e-mail: kilgore@bnl.gov

Received: 5 August 2013
Revised: 18 September 2013
Published online: 25 October 2013

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 $\overline{f}f\longrightarrow X$ and $\overline{f}f\longrightarrow V_{1}V_{2}$ 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.