Gravitational quadratic-in-spin Hamiltonian at NNNLO in the post-Newtonian framework

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Publication:6079658

DOI10.1007/JHEP07(2023)128arXiv2210.09176OpenAlexW4384407411WikidataQ125590618 ScholiaQ125590618MaRDI QIDQ6079658

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Publication date: 29 September 2023

Published in: (Search for Journal in Brave)

Abstract: We present the result of the quadratic-in-spin interaction Hamiltonian for binary systems of rotating compact objects with generic spins, up to NNNLO corrections within the post-Newtonian expansion. The calculation is performed by employing the effective field theory diagrammatic approach, and it involves Feynman integrals up to three loops, evaluated within the dimensional regularization scheme. The gauge-invariant binding energy and the scattering angle, in special kinematic regimes and spin configurations, are explicitly derived. The results extend our earlier study on the spin-orbit interaction effects.


Full work available at URL: https://arxiv.org/abs/2210.09176



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