Analytic all-plus-helicity gluon amplitudes in QCD

Abstract

We detail the calculation of two-loop all-plus helicity amplitudes for pure Yang-Mills theory. The four dimensional unitarity methods and augmented recursion techniques we have developed, together with a knowledge of the singular structure of the amplitudes allow us to compute these in compact analytic forms. Specifically we present the computation and analytic results for the six- and seven-gluon leading colour two-loop amplitudes these being the first QCD two-loop amplitudes beyond five-points.

30 pages 4 figures; title changed to match journal

References in corpus (3)

• Direct extraction of one-loop integral coefficients
• Bootstrapping a Five-Loop Amplitude Using Steinmann Relations
• On-shell constructibility of tree amplitudes in general field theories

Cited by in corpus (5)

• Analytic Form of the Planar Two-Loop Five-Parton Scattering Amplitudes in QCD
• Analytic Form of the Planar Two-Loop Five-Gluon Scattering Amplitudes in QCD
• Multi-Quark Colour Decompositions from Unitarity
• Color Dressed Unitarity and Recursion for Yang-Mills Two-Loop All-Plus Amplitudes
• Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes