Massive spinning-particle gravitational amplitudes are obtained by dimensional reduction of massless double copy amplitudes, fixing g=2 and matter couplings, and the Goldberger-Ridgway classical double copy is identified with a compactification of N=4 supergravity.
Scalar-Graviton Amplitudes
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Using the CHY-formalism and its extension to a double cover we provide covariant expressions for tree-level amplitudes with two massive scalar legs and an arbitrary number of gravitons in D dimensions. Using unitarity methods, such amplitudes are needed inputs for the computation of post-Newtonian and post-Minkowskian expansions in classical general relativity.
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On the Double Copy for Spinning Matter
Massive spinning-particle gravitational amplitudes are obtained by dimensional reduction of massless double copy amplitudes, fixing g=2 and matter couplings, and the Goldberger-Ridgway classical double copy is identified with a compactification of N=4 supergravity.