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

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arxiv 2312.14859 v1 pith:RU37AO4W submitted 2023-12-22 hep-th gr-qc

classification hep-thgr-qc
keywords scatteringgravitationalanalyticclassicalexpressionsfar-fieldincludelinear-in-spin
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute the far-field time-domain waveform of the gravitational waves produced in the scattering of two spinning massive objects. The results include linear-in-spin ($S$) couplings and first-order gravitational corrections ($G^3$), and are valid for encounters in the weak-field regime. Employing a field-theory framework based on the scattering of massive scalar and vector particles coupled to Einstein-Hilbert gravity, we derive results for leading and the next-to-leading spectral waveforms. We provide analytic expressions for the required scattering data, which include trees, one-loop amplitudes and their cuts. The expressions are extracted from numerical amplitude evaluations with the Caravel program, using analytic reconstruction techniques applied in the classical limit. We confirm a recent prediction for infrared physics of the classical observable, and observe the surprising appearance of a ultraviolet singularity, which drops out in the far-field waveform.

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Cited by 6 Pith papers

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

  1. Radiation-Reaction and Angular Momentum Loss at $\mathcal{O}(G^4)$

    hep-th 2025-01 accept novelty 8.0 of 10

    A closed-form, all-velocity expression for the O(G^4) radiated angular momentum in two-body gravitational scattering is derived, resumming all half-odd post-Newtonian corrections.

  2. Memory effect from the scattering of Taub-NUT black holes

    hep-th 2026-03 conditional novelty 7.0 of 10

    Soft theorems yield a gauge-invariant nutty soft factor and the associated memory tensor for Kerr-Taub-NUT scattering, with magnetic components and directional divergences absent in electromagnetism.

  3. Conservative Black Hole Scattering at Fifth Post-Minkowskian and Second Self-Force Order

    hep-th 2026-01 conditional novelty 7.0 of 10

    The conservative black-hole scattering angle at fifth post-Minkowskian and second self-force order is computed in terms of K3 periods, but contains a coefficient fixed only by an ad hoc 'γ-3' prescription.

  4. 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.

  5. First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order

    hep-th 2025-02 conditional novelty 7.0 of 10

    The O(G^3) conservative and radiation-reaction classical observables for spinning black-hole scattering are extended to quartic order in spin, with all-order-in-spin radiation reaction beyond the aligned-spin limit.

  6. Records from the S-Matrix Marathon: Gravitational Physics from Scattering Amplitudes

    hep-th 2024-12 conditional

    A set of lecture notes explaining how classical gravitational observables emerge from the classical limit of scattering amplitudes, with applications to black hole physics and the three-body problem.

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