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NLO deflections for spinning particles and Kerr black holes

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arxiv 2205.11701 v3 pith:J25ZAYSV submitted 2022-05-24 hep-th gr-qchep-ph

NLO deflections for spinning particles and Kerr black holes

classification hep-th gr-qchep-ph
keywords orderspindeflectionsgravityloopnext-to-leadingspinningamplitudes
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We employ the "KMOC" formalism of [1] to compute classical momentum deflections of spinning bodies with arbitrary spin orientations up to next-to-leading order (one loop). We do this in electrodynamics and gravity. The final result, valid for generic masses, is true for all spins at tree level and up to second (fourth) spin order for the electromagnetic (gravity) case at one loop. Furthermore, emphasis is given to the probe limit scenario where our results extend to all spin orders in the heavy source, even at next-to-leading order. We carry out our computations both using a unitarity based framework and Feynman diagrammatic approach which relies on scattering amplitudes computed on fixed backgrounds.

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Cited by 8 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.

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    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.

  3. Gravitational multipoles from scattering amplitudes in higher dimensions

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    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...

  4. Hawking Radiation meets the Double Copy

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    Bogoliubov coefficients from scattering a scalar in a collapsing EM background (single copy of Vaidya) match ray-tracing results and connect to Hawking radiation through the double copy.

  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

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  7. Lecture notes: Introduction to the Off-shell Double Copy Program

    hep-th 2026-06 accept novelty 2.5

    Self-contained lecture notes introduce the off-shell single/double copy relating Yang-Mills and DFDF gauge theories to Einstein-Hilbert, Weyl gravity and NS-NS supergravity via Kerr-Schild and Double Field Theory.

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    hep-th 2026-06 unverdicted novelty 2.0

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