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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

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 3 Pith papers

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

  1. 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.

  2. Scattering of a point mass by a Schwarzschild black hole: radiated energy and angular momentum

    gr-qc 2025-07 conditional novelty 6.0 of 10

    The 5PM-1SF radiated energy and the complete 4PM-1SF radiated angular momentum to 7PN order are derived for a point mass scattering off a Schwarzschild black hole, along with the resulting 5PM radiation-reacted scatte...

  3. Scattering angle in a Topological Star spacetime: a self-force approach

    gr-qc 2025-06 conditional novelty 6.0 of 10

    An analytic, large-angular-momentum scattering angle for unbound geodesics and scalar self-force in Topological Star spacetime, with an unresolved regulator in the conservative self-force piece.

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