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The 2PM Hamiltonian for binary Kerr to quartic in spin

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arxiv 2111.13639 v4 pith:CLEA3FLH submitted 2021-11-26 hep-th gr-qc

The 2PM Hamiltonian for binary Kerr to quartic in spin

classification hep-th gr-qc
keywords spinbinaryblackhamiltonianorderquarticspinningamplitude
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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From the S-matrix of spinning particles, we extract the 2 PM conservative potential for binary spinning black holes up to quartic order in spin operators. An important ingredient is the exponentiated gravitational Compton amplitude in the classical spin-limit for all graviton helicity sectors. The validity of the resulting Hamiltonian is verified by matching to known lower spin order results, as well as direct computation of the 2PM impulse and spin kicks from the eikonal phase and that from the test black hole scattering based on Mathisson-Papapetrou-Dixon equations.

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Cited by 6 Pith papers

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

  1. Generalized Carter & R\"udiger Constants of $\sqrt{\text{Kerr}}$

    gr-qc 2026-02 unverdicted novelty 7.0

    Generalized Carter and Rüdiger constants for spinning charged probes in √Kerr backgrounds exist only for Wilson coefficients matching spin-exponentiated effective Compton amplitudes up to second order in spin.

  2. The gravitational Compton amplitude at third post-Minkowskian order

    hep-th 2026-02 unverdicted novelty 7.0

    Gravitational Compton amplitude computed to third post-Minkowskian order via worldline EFT with infrared and forward divergences regulated to connect to black hole perturbation theory.

  3. Hidden simplicity in the scattering for neutron stars and black holes

    hep-th 2025-09 unverdicted novelty 7.0

    Authors define Kerr generating functions for all-loop scattering on Kerr black holes and apply them to compute leading non-linear tidal effects of neutron stars up to four loops in gravity.

  4. Gravitational multipoles from scattering amplitudes in higher dimensions

    hep-th 2026-05 unverdicted novelty 6.0

    In five dimensions, minimally coupled massive vector and antisymmetric tensor fields produce only mass or stress quadrupoles respectively from scattering amplitudes, failing to match the Myers-Perry black hole and dem...

  5. Unexpected Symmetries of Kerr Black Hole Scattering

    hep-th 2025-08 unverdicted novelty 6.0

    The work establishes conservation of several quantities in Kerr black hole scattering and presents evidence that a spinning probe satisfies asymptotic integrability to quartic spin order at all post-Minkowskian orders.

  6. NLO Angular Impulse and Leading Singularities to all orders in spin for Kerr Black Holes

    hep-th 2026-06 unverdicted novelty 5.0

    NLO angular impulse for Kerr black holes computed to all orders in spin via KMOC formalism and leading singularities, with consistency checks and potential extraction.