High-post-Newtonian-order dynamical effects induced by tail-of-tail interactions in a two body system

2025/07/11 by Bini, Donato, Damour, Thibault, Geralico, Andrea · 1 citation
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.2507.08708

Abstract

Starting from the recently derived conservative tail-of-tail action [D. Bini and T. Damour, arXiv:2504.20204 [hep-th]] we compute several dynamical observables of binary systems (Delaunay Hamiltonian, scattering angle), at the 6.5 post-Newtonian accuracy and up to the 8th post-Minkowskian order. We find perfect agreement with previous self-force results, and (when inserting a recent high-post-Newtonian order derivation of radiated angular momentum [A. Geralico, arXiv:2507.03442 [gr-qc]]) with state-of-the-art post-Minkowskian scattering results [M.~Driesse et al., Nature 641, no.8063, 603-607 (2025)].

Citations

• Scattering of a point mass by a Schwarzschild black hole: radiated energy and angular momentum
• High Precision Black Hole Scattering: Tutti Frutti vs Worldline Effective Field Theory
• Resummation of Universal Tails in Gravitational Waveforms
• Gravitational wave forms for extreme mass ratio collisions from supersymmetric gauge theories
• Gravitational Multipole Renormalization
• Binary dynamics at the fifth and fifth-and-a-half post-Newtonian orders
• Post-Newtonian Theory for Gravitational Waves
• Analytic Solutions of the Teukolsky Equation and Their Low Frequency Expansions

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