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NLO gravitational quartic-in-spin interaction

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arxiv 2008.12280 v2 pith:UT34AIJY submitted 2020-08-27 hep-th gr-qc

classification hep-thgr-qc
keywords gravitationalordercompacteffectiveextensioninteractionobjectsquartic-in-spin
verification ladder T0 review T1 audit T2 compute T3 formal
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In this paper we derive for the first time the complete gravitational quartic-in-spin interaction of generic compact binaries at the next-to-leading order in the post-Newtonian (PN) expansion. The derivation builds on the effective field theory for gravitating spinning objects, and its recent extensions, in which new type of worldline couplings should be considered, as well as on the extension of the effective action of a spinning particle to quadratic order in the curvature. The latter extension entails a new Wilson coefficient that appears in this sector. This work pushes the precision frontier with spins at the fifth PN (5PN) order for maximally-spinning compact objects, and at the same time informs us of the gravitational Compton scattering with higher spins.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory

    hep-th 2025-12 accept novelty 8.0 of 10

    A shell-based EFT computes scalar Love numbers for Schwarzschild black holes through O(G^9) and conjectures an all-orders Riemann-zeta structure.

  2. Gravitational Bremsstrahlung in Black-Hole Scattering at $\mathcal{O}(G^3)$: Quadratic-in-Spin Effects

    hep-th 2025-05 accept novelty 7.0 of 10

    First computation of the O(G^3 S^2) momentum-space gravitational waveform for two scattering spinning black holes, plus the leading three-body spinning waveform.

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