Abstract
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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Bjerrum-Bohr, N.E.J., Damgaard, P.H., Planté, L. et al. The amplitude for classical gravitational scattering at third Post-Minkowskian order. J. High Energ. Phys. 2021, 172 (2021). https://doi.org/10.1007/JHEP08(2021)172
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DOI: https://doi.org/10.1007/JHEP08(2021)172