All rational one-loop Einstein-Yang-Mills amplitudes at four points

Abstract

All four-point mixed gluon-graviton amplitudes in pure Einstein-Yang-Mills theory with at most one state of negative helicity are computed at one-loop order and maximal powers of the gauge coupling using D-dimensional generalized unitarity. The resulting purely rational expressions take very compact forms. We comment on the color-kinematics duality picture and a relation to collinear limits of pure gluon amplitudes.

36 pages, many figures

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• Quantizing the non-linear graviton
• One-loop Amplitudes for N=2 Homogeneous Supergravities
• One-loop amplitudes in Einstein-Yang-Mills from forward limits
• All-Multiplicity One-Loop Amplitudes in Born-Infeld Electrodynamics from Generalized Unitarity
• Open & Closed vs. Pure Open String One-Loop Amplitudes