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arXiv · 2104.04510

Classical Gravity from Loop Amplitudes

N. Emil J. Bjerrum-Bohr·Poul H. Damgaard·Ludovic Planté·Pierre Vanhove
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Abstract

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.

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N. Emil J. Bjerrum-Bohr, Poul H. Damgaard, Ludovic Planté, Pierre Vanhove. 2021-04-09. Classical Gravity from Loop Amplitudes. https://doi.org/10.1103/physrevd.104.026009

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