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arxiv: 2509.04425 · v3 · submitted 2025-09-04 · ✦ hep-th · gr-qc

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Hidden simplicity in the scattering for neutron stars and black holes

Rafael Aoude , Andreas Helset
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classification ✦ hep-th gr-qc
keywords blackkerrfunctionsgeneratingbackgroundhelicityholeholes
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Heavy particle effective theory applied to spinning black holes provides a natural framework in which propagators linearize and numerators exponentiate. In this work, we exploit these two features to introduce Kerr generating functions, which describe the scattering of any probe on a Kerr black hole background to all loop orders. These generating functions can be used to perform the tensor reduction of multi-loop integrands simply by differentiation with respect to the spin. As a first application of the Kerr generating functions, we study the leading non-linear tidal effects of a neutron star in a Kerr black hole background. We organize the integrand by the helicity configuration of the exchanged gravitons and provide compact all-loop-order results for several helicity sectors and a full four-loop $\mathcal{O}(G^5)$ result for the leading non-linear tidal operators.

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Cited by 3 Pith papers

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

  1. Twisted Feynman Integrals: from generating functions to spin-resummed post-Minkowskian dynamics

    hep-th 2025-12 unverdicted novelty 7.0

    Twisted Feynman integrals are introduced with graded Symanzik polynomials, classified as exponential periods, and shown to have geometry not inferable from generalized Baikov leading singularities.

  2. Weak-Field Limits of Black Hole Metrics from the KMOC formalism: Schwarzschild, Kerr, Reissner-Nordstr\"om, and Kerr-Newman

    hep-th 2026-04 unverdicted novelty 4.0

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    hep-th 2026-04 conditional novelty 3.0

    Weak-field limits of Schwarzschild, Kerr, RN, and KN black hole metrics are reproduced from three-point amplitudes with exponential spin structure via the KMOC formula by extracting momentum impulses and matching to g...