Classical gravity from loop amplitudes

N. Emil J. Bjerrum-Bohr , Poul H. Damgaard , Ludovic Planté , Pierre Vanhove (1)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681

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.

Mots clés: Scattering Amplitudes; General Relativity; gravitation: interaction; black hole: scattering; coupling: scalar; scattering amplitude; high energy behavior; general relativity; loop integral; supergravity: 8; mathematical methods

Domaines: Physique des Hautes Energies - Théorie [hep-th]; Relativité Générale et Cosmologie Quantique [gr-qc]; Physique des Hautes Energies - Phénoménologie [hep-ph]

N. Emil J. Bjerrum-Bohr, Poul H. Damgaard, Ludovic Planté, Pierre Vanhove. Classical gravity from loop amplitudes. Physical Review D, 2021, 104 (2), pp.026009. ⟨10.1103/PhysRevD.104.026009⟩. ⟨hal-03210329⟩