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arXiv · 2507.08708

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

Donato Bini·Thibault Damour·Andrea Geralico
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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 \textbf{641}, no.8063, 603-607 (2025)].

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Donato Bini, Thibault Damour, Andrea Geralico. 2025-07-11. High-post-Newtonian-order dynamical effects induced by tail-of-tail interactions in a two body system. https://arxiv.org/abs/2507.08708

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