Scattering amplitudes and conservative dynamics at the fourth post-Minkowskian order
Michael Ruf, Zvi Bern, Julio Parra-Martinez, Radu Roiban, Chia-Hsien Shen, Mikhail P. Solon, Mao Zeng
Abstract
We review recent progress using amplitudes methods to obtain new results for the conservative classical scattering of two massive black holes at order O(G^4). We include contributions from both potential and radiation modes which effect the conservative dynamics through the tail effect. We compute the 2 → 2 scattering amplitudes and extract the radial action through the amplitude- action formula and derive the scattering angle. By matching we also obtain a Hamiltonian valid for arbitrary scattering trajectories.
Topics & Concepts
ScatteringScattering amplitudeAmplitudePhysicsHamiltonian (control theory)Action (physics)Classical mechanicsScattering theoryQuantum electrodynamicsOpticsQuantum mechanicsMathematicsMathematical optimizationPulsars and Gravitational Waves ResearchBlack Holes and Theoretical PhysicsAstrophysical Phenomena and Observations