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.
%0 Generic
%1 bjerrumbohr2021classical
%A Bjerrum-Bohr, N. Emil J.
%A Damgaard, Poul H.
%A Planté, Ludovic
%A Vanhove, Pierre
%D 2021
%K hep-th qft scattering_amplitudes
%R 10.1103/PhysRevD.104.026009
%T Classical Gravity from Loop Amplitudes
%U http://arxiv.org/abs/2104.04510
%X 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.
@misc{bjerrumbohr2021classical,
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.},
added-at = {2022-12-30T16:15:52.000+0100},
author = {Bjerrum-Bohr, N. Emil J. and Damgaard, Poul H. and Planté, Ludovic and Vanhove, Pierre},
biburl = {https://www.bibsonomy.org/bibtex/2710ed78f9dd8cb4ce296be178636e2d8/intfxdx},
description = {Classical Gravity from Loop Amplitudes},
doi = {10.1103/PhysRevD.104.026009},
interhash = {8133d3a9dc53c7c67176f29e191e3153},
intrahash = {710ed78f9dd8cb4ce296be178636e2d8},
keywords = {hep-th qft scattering_amplitudes},
note = {cite arxiv:2104.04510Comment: 42 pages. v3: version to appear in PRD},
timestamp = {2022-12-30T16:15:52.000+0100},
title = {Classical Gravity from Loop Amplitudes},
url = {http://arxiv.org/abs/2104.04510},
year = 2021
}