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Post-Minkowskian self-force in the low-velocity limit: scalar field scattering

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arxiv 2406.15878 v2 pith:A4RUA76G submitted 2024-06-22 gr-qc

Donato Bini , Andrea Geralico , Chris Kavanagh , Adam Pound , Davide Usseglio This is my paper
classification gr-qc
keywords resultsscatteringself-forceapproachblackholelow-velocitypost-minkowskian
verification ladder T0 review T1 audit T2 compute T3 formal
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In this paper we present an approach to compute analytical post-Minkowskian corrections to unbound two-body scattering in the self-force formalism. Our method relies on a further low-velocity (post-Newtonian) expansion of the motion. We present a general strategy valid for gravitational and non-gravitational self-force, and we explicitly demonstrate our approach for a scalar charge scattering off a Schwarzschild black hole. We compare our results with recent calculations in [Barack et al., PRD 108, 024025 (2023)], showing complete agreement where appropriate and fixing undetermined scale factors in their calculation. Our results also extend their results by including in our dissipative sector the contributions from the flux into the black hole horizon.

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Cited by 4 Pith papers

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

  1. Universal Closed Form for Dynamical Love Numbers of Black Holes

    hep-th 2026-06 conditional novelty 8.0 of 10

    Derives a universal closed-form expression for the dynamical response of Schwarzschild black holes using RG resummation and far-zone matching, verified via shell EFT to high orders.

  2. Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory

    hep-th 2025-12 accept novelty 8.0 of 10

    A shell-based EFT computes scalar Love numbers for Schwarzschild black holes through O(G^9) and conjectures an all-orders Riemann-zeta structure.

  3. Black Hole Dynamics at Fifth Post-Newtonian Order

    gr-qc 2026-04 unverdicted novelty 6.0 of 10

    Derives 5PN scattering observables and a conservative Hamiltonian contribution for black holes that determines EOB parameters d5loc and a6loc.

  4. Gravitational radiation from hyperbolic orbits: comparison between self-force, post-Minkowskian, post-Newtonian, and numerical relativity results

    gr-qc 2025-12 unverdicted novelty 5.0 of 10

    Self-force calculations of radiated gravitational wave energy from hyperbolic orbits around Schwarzschild black holes agree with post-Minkowskian results for large impact parameters and velocities up to 0.7c, with fur...

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