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The Amplitude for Classical Gravitational Scattering at Third Post-Minkowskian Order

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arxiv 2105.05218 v3 pith:IK2JYOQW submitted 2021-05-11 hep-th gr-qchep-ph

classification hep-thgr-qchep-ph
keywords scatteringamplitudeorderclassicalpost-minkowskianthirdagreementangle
verification ladder T0 review T1 audit T2 compute T3 formal
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We compute the scattering amplitude for classical black-hole scattering to third order in the Post-Minkowskian expansion, keeping all terms needed to derive the scattering angle to that order from the eikonal formalism. Our results confirm a conjectured relation between the real and imaginary parts of the amplitude by Di Vecchia, Heissenberg, Russo, and Veneziano, and are in agreement with a recent computation by Damour based on radiation reaction in general relativity.

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Cited by 10 Pith papers

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