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Spinning waveforms from KMOC at leading order

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arxiv 2309.17429 v2 pith:ZEIEVLQ5 submitted 2023-09-29 hep-th gr-qc

classification hep-thgr-qc
keywords orderspinningwaveformamplitudeanalyticcompactfive-pointkmoc
verification ladder T0 review T1 audit T2 compute T3 formal

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We provide the analytic waveform in time domain for the scattering of two Kerr black holes at leading order in the post-Minkowskian expansion and up to fourth order in both spins. The result is obtained by the generalization of the KMOC formalism to radiative observables, combined with the analytic continuation of the five-point scattering amplitude to complex kinematics. We use analyticity arguments to express the waveform directly in terms of the three-point coupling of the graviton to the spinning particles and the gravitational Compton amplitudes, completely bypassing the need to compute and integrate the five-point amplitude. In particular, this allows to easily include higher-order spin contributions for any spinning compact body. Finally, in the spinless case we find a new compact and gauge-invariant representation of the Kovacs-Thorne waveform.

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Cited by 13 Pith papers

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

  1. Spinning the Probe in Kerr with WQFT

    hep-th 2025-06 conditional novelty 8.0 of 10

    Using worldline quantum field theory, the authors derive the impulse and spin kick for a spinning probe scattering in Kerr spacetime through seventh physical post-Minkowskian order.

  2. 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.

  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. Searching for Kerr in string amplitudes

    hep-th 2025-06 conditional novelty 7.0 of 10

    Infinite-spin limits of three-point open-string amplitudes along sub-leading trajectories generate new Bessel-function currents, but the two-harmonic tilted trajectory does not match the two-mode classical string solu...

  5. 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.

  6. Higher-spin effects in black hole and neutron star binary dynamics: worldline supersymmetry beyond minimal coupling

    hep-th 2025-05 conditional novelty 7.0 of 10

    By adding non-minimal couplings to a supersymmetric worldline model, the authors derive new higher-spin Hamiltonians, including an all-order-in-spin Kerr Hamiltonian in 4D and a cubic-in-spin Hamiltonian in arbitrary ...

  7. 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.

  8. Resumming Post-Minkowskian and Post-Newtonian gravitational waveform expansions

    gr-qc 2025-01 conditional novelty 7.0 of 10

    A new hypergeometric representation of the confluent Heun equation resums infinite PM/PN correction series and yields the circular-orbit energy flux to 30PN order, matching independent numerical black-hole perturbatio...

  9. Spinning bodies in general relativity from bosonic worldline oscillators

    hep-th 2024-11 conditional novelty 7.0 of 10

    A bosonic-oscillator worldline action for spinning compact bodies in general relativity is constructed, and it reproduces known post-Minkowskian scattering results while remaining valid to all orders in spin.

  10. "Waveforms" at the Horizon

    gr-qc 2026-02 conditional novelty 6.0 of 10

    A probe scattering off a Schwarzschild black hole transfers a definite leading-order post-Minkowskian angular momentum to the horizon, given by new closed formulas (3.24b), (3.29), (3.36).

  11. One-Loop Observables to Higher Order in Spin

    hep-th 2024-12 conditional novelty 6.0 of 10

    New one-loop formulas express the momentum impulse and spin kick of two scattered spinning bodies directly in terms of the eikonal phase, valid to all orders in spin and independent of the spin supplementary condition.

  12. On-shell approach to scalar hair in spinning binaries

    hep-th 2024-11 conditional novelty 6.0 of 10

    Scalar hair on spinning compact objects is described by a conformal coupling of matter to a massless scalar, yielding matching waveforms and energy loss formulas for scalar-tensor gravity binaries.

  13. Classical Black Hole Scattering to Celestial Amplitudes in Effective Theories of Gravity

    hep-th 2026-08 conditional novelty 3.0 of 10

    A doctoral thesis reproduces the author's published post-Newtonian and post-Minkowskian two-body observables and celestial amplitudes in scalar-tensor, Chern-Simons, Einstein-Maxwell-dilaton, and quadratic gravity.

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