Resumming Spinning Black Hole Dynamics at Third Post-Minkowskian Order

Fuente: arXiv
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Autori principali: Bjerrum-Bohr, N. Emil J., Chen, Gang, Papadimos, Konstantinos, Zhang, Yuexiang
Natura: Preprint
Pubblicazione: 2026
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author Bjerrum-Bohr, N. Emil J.
Chen, Gang
Papadimos, Konstantinos
Zhang, Yuexiang
author_facet Bjerrum-Bohr, N. Emil J.
Chen, Gang
Papadimos, Konstantinos
Zhang, Yuexiang
contents We investigate the relativistic scattering of spinning black holes using modern amplitude methods within a heavy-mass effective field theory formalism at third post-Minkowskian order. Using a systematic self-force expansion up to first order in the mass ratio, the gravitational amplitude and the associated eikonal-like phase are computed for a spin-aligned binary system comprising a heavy and a light black hole up to fifth order in the total spin and up to quadratic order in the spin of the light black hole. We also consider the resummation of the heavy black hole's spin in both the probe limit and the radiation-reaction sector, and verify that the resulting phase displays the characteristic ring singularity features associated with the Kerr metric.
format Preprint
id arxiv_https___arxiv_org_abs_2603_04214
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Resumming Spinning Black Hole Dynamics at Third Post-Minkowskian Order
Bjerrum-Bohr, N. Emil J.
Chen, Gang
Papadimos, Konstantinos
Zhang, Yuexiang
High Energy Physics - Theory
General Relativity and Quantum Cosmology
We investigate the relativistic scattering of spinning black holes using modern amplitude methods within a heavy-mass effective field theory formalism at third post-Minkowskian order. Using a systematic self-force expansion up to first order in the mass ratio, the gravitational amplitude and the associated eikonal-like phase are computed for a spin-aligned binary system comprising a heavy and a light black hole up to fifth order in the total spin and up to quadratic order in the spin of the light black hole. We also consider the resummation of the heavy black hole's spin in both the probe limit and the radiation-reaction sector, and verify that the resulting phase displays the characteristic ring singularity features associated with the Kerr metric.
title Resumming Spinning Black Hole Dynamics at Third Post-Minkowskian Order
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2603.04214