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Dynamics of Spinning Binary at 2PM

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arxiv 2406.09086 v2 pith:AU4XIGJU submitted 2024-06-13 hep-th gr-qc

Gang Chen , Tianheng Wang This is my paper · ORCID
classification hep-thgr-qc
keywords amplitudeone-loopclassicalcomptoncovariantmathcalspinagreement
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We consider the covariant proposal for the gravitational Compton amplitude for a Kerr black hole. Employing the covariant three- and four-point Compton amplitudes, we assemble the classical one-loop integrand on the maximal cut at all orders in spin, utilizing the method of unitarity. Expanding in powers of spin, we evaluate the one-loop amplitude up to $\mathcal O(G^2 a^8)$. Supplemented with extra contact contributions derived from the far-zone data of the Teukolsky solutions, the one-loop amplitude is in agreement with results available in the literature. We showcase the classical eikonal in the aligned-spin case at $\mathcal O(G^2 a^7)$.

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Cited by 5 Pith papers

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

  1. 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...

  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.

  3. 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.

  4. 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.

  5. HEFT Numerators from Kinematic Algebra

    hep-th 2025-01 conditional novelty 6.0 of 10

    The heavy-mass effective field theory kinematic numerators are derived as the field theory limit of nested commutators of string vertex operators, reproducing and extending earlier fusion-rule results.

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