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

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Cited by in corpus (20)

• Collider Physics at the Precision Frontier
• 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
• Planar Two-Loop Five-Gluon Amplitudes from Numerical Unitarity
• A first look at two-loop five-gluon scattering in QCD
• Direct Solution of Integration-by-Parts Systems
• Two-loop five-point massless QCD amplitudes within the IBP approach
• The Two-Loop Four-Graviton Scattering Amplitudes
• Multi-Quark Colour Decompositions from Unitarity
• Differential equations for loop integrals in Baikov representation
• Analytic Two-Loop Higgs Amplitudes in Effective Field Theory and the Maximal Transcendentality Principle
• Color Dressed Unitarity and Recursion for Yang-Mills Two-Loop All-Plus Amplitudes
• The Full Color Two-Loop Six-Gluon All-Plus Helicity Amplitude
• Hidden Analytic Relations for Two-Loop Higgs Amplitudes in QCD
• An $n$-point QCD two-loop amplitude
• The dimension-shift conjecture for one-loop amplitudes
• Virtual QCD corrections to gluon-initiated diphoton plus jet production at hadron colliders
• Two-loop n-point anomalous amplitudes in N=4 supergravity
• Infrared and transcendental structure of two-loop supersymmetric QCD amplitudes
• Symmetric reduction of high-multiplicity one-loop integrals and maximal cuts