Gravitational spin-orbit Hamiltonian at NNNLO in the post-Newtonian framework
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Publication:6158628
DOI10.1007/JHEP03(2023)130arXiv2209.00611OpenAlexW4327966572MaRDI QIDQ6158628
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Publication date: 31 May 2023
Published in: (Search for Journal in Brave)
Abstract: We present the result of the spin-orbit 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. We apply canonical transformations to eliminate the non-physical divergences and spurious logarithmic behaviours of the Hamiltonian, and use the latter to derive the gauge-invariant binding energy and the scattering angle, in special kinematic regimes.
Full work available at URL: https://arxiv.org/abs/2209.00611
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