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 ${\kappa }^3$.

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

References in corpus (11)

• New Relations for Gauge-Theory Amplitudes
• Minimal Basis for Gauge Theory Amplitudes
• All tree-level amplitudes in N=4 SYM
• Scattering amplitudes in N=2 Maxwell-Einstein and Yang-Mills/Einstein supergravity
• The Five-Loop Four-Point Integrand of N=8 Supergravity as a Generalized Double Copy
• New Relations for Einstein-Yang-Mills Amplitudes
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Cited by in corpus (3)

• Heterotic Kerr-Schild Double Field Theory and Classical Double Copy
• The origin of the KLT relations and nonlinear relations for Yang-Mills amplitudes
• Quantum Cosmology in $f(Q)$ theory