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Strong Field Scattering of Black Holes: Assessing Resummation Strategies

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arxiv 2411.09652 v2 pith:6T6ZDNOT submitted 2024-11-14 gr-qc hep-th

classification gr-qchep-th
keywords modelinformationanalyticalresummationscatteringsimulationsagreementblack
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abstract

Recent developments in post-Minkowksian (PM) calculations have led to a fast-growing body of weak-field perturbative information. As such, there is major interest within the gravitational wave community as to how this information can be used to improve the accuracy of theoretical waveform models. In this work, we build on recent efforts to validate high-order PM calculations using numerical relativity simulations. We present a new set of high-energy scattering simulations for equal-mass, non-spinning binary black holes, further expanding the existing suite of NR simulations. We outline the basic features of three recently proposed resummation schemes (the $\mathscr{L}$-resummed model, the $w^\mathrm{eob}$ model and the SEOB-PM model) and compare the analytical predictions to our NR data. Each model is shown to demonstrate pathological behaviour at high energies, with common features such as PM hierarchical shifts and divergences. The NR data can also be used to calibrate pseudo-5PM corrections to the scattering angle or EOB radial potentials. In each case, we argue that including higher-order information improves the agreement between the analytical models and NR, though the extent of improvement depends on how this information is incorporated and the choice of analytical baseline. Finally, we demonstrate that further resummation of the EOB radial potentials could be an effective strategy to improving the model agreement.

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Cited by 7 Pith papers

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

  1. Binary black hole scattering with generic spins

    gr-qc 2026-06 unverdicted novelty 8.0 of 10

    First NR-PM comparison for generic-spin black hole scattering reveals strong-field precessional turning-point structure with polar-angle sign change absent from perturbative PM.

  2. Black-Hole Scattering in Einstein-scalar-Gauss-Bonnet: Numerical Relativity Meets Analytics

    gr-qc 2026-05 unverdicted novelty 8.0 of 10

    Numerical relativity simulations of black hole scattering in Einstein-scalar-Gauss-Bonnet gravity agree closely with effective-one-body analytic predictions.

  3. High-Post-Newtonian-Order Dynamics Induced by Tail-of-Tail Interactions: The Non-Geodesic Terms

    gr-qc 2026-08 conditional novelty 7.0 of 10

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  4. Analytic structure of the high-energy gravitational amplitude: multi-H diagrams and classical 5PM logarithms

    hep-th 2025-11 unverdicted novelty 7.0 of 10

    Computes the leading double logarithm at 5PM in the high-energy gravitational amplitude via multi-H diagrams and dispersion relations, extracting the single-log imaginary part of the eikonal phase.

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    gr-qc 2025-12 unverdicted novelty 5.0 of 10

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  7. The Science of the Einstein Telescope

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