Classical gravity from loop amplitudes

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Abstract

We describe an efficient method for extracting the parts of -dimensional loop integrals that are needed to derive observables in classical general relativity from scattering amplitudes. Our approach simplifies the soft-region method of integration by judiciously combining terms before the final integrations. We demonstrate the method by computing the required integrals for black-hole scattering to the second post-Minkowskian order in Einstein gravity coupled to scalars. We also confirm recent results at the third post-Minkowskian order regarding universality and high-energy behavior of gravitational interactions in maximal supergravity.

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Bjerrum-Bohr, N. E. J., Damgaard, P. H., Planté, L., & Vanhove, P. (2021). Classical gravity from loop amplitudes. Physical Review D, 104(2). https://doi.org/10.1103/PhysRevD.104.026009

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