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Classical gravity from loop amplitudes

We describe an efficient method for extracting the parts of D-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 int...

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Bibliographic Details
Published in:Physical review. D 2021-07, Vol.104 (2), p.1, Article 026009
Main Authors: Bjerrum-Bohr, N. Emil J., Damgaard, Poul H., Planté, Ludovic, Vanhove, Pierre
Format: Article
Language:English
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Summary:We describe an efficient method for extracting the parts of D-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.
ISSN:2470-0010
2470-0029
DOI:10.1103/PhysRevD.104.026009