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

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 imagina...

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Bibliographic Details
Main Authors: N. Emil J. Bjerrum-Bohr, Poul H. Damgaard, Ludovic Planté, Pierre Vanhove
Format: Article
Language:English
Published: SpringerOpen 2021-08-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP08(2021)172
Description
Summary: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.
ISSN:1029-8479