Positive helicity Einstein-Yang-Mills amplitudes from the Double Copy

Abstract

All positive helicity four-point gluon-graviton amplitudes in Einstein-Yang-Mills theory coupled to a dilaton and axion field are computed at the leading one-loop order using colour-kinematics duality. In particular, all relevant contributions in the gravitational and gauge coupling are established. This extends a previous generalized unitarity based computation beyond the leading terms in the gravitational coupling $\kappa$. The resulting purely rational expressions take very compact forms. The previously seen vanishing of the single-graviton-three-gluon amplitude at leading order in $\kappa$ is seen to be lifted at order ${\kappa }^3$.

arXiv comment28 pages, many figures. v2: references added; v3 references added typos corrected, version to be published in PRD

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Cited by in corpus (13)

• Weyl doubling
• Off-Shell Color-Kinematics Duality for Chern-Simons
• Heterotic Kerr-Schild Double Field Theory and Classical Double Copy
• The Double Copy of Massive Scalar-QCD
• Quantizing the non-linear graviton
• Color-kinematics duality, double copy and the unitarity method for higher-derivative QCD and quadratic gravity
• One-loop amplitudes in Einstein-Yang-Mills from forward limits
• Electromagnetic Duality and D3-Brane Scattering Amplitudes Beyond Leading Order
• Berends-Giele currents for extended gravity
• Next-to-MHV Yang-Mills kinematic algebra
• The origin of the KLT relations and nonlinear relations for Yang-Mills amplitudes
• A note on multi-trace EYM amplitudes in four dimensions
• Quantum Cosmology in $f(Q)$ theory