The amplitude for classical gravitational scattering at third Post-Minkowskian order

By N. Bjerrum-Bohr, P. Damgaard, L. Planté, Pierre Vanhove. Journal of High Energy Physics, 2021

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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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/f3e65f06a4bc728f25f00da5c049233e64fc98bb