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Post-Minkowskian Scattering Angle in Einstein Gravity

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arxiv 1910.09366 v2 pith:3Y7OIXD2 submitted 2019-10-21 hep-th gr-qchep-ph

classification hep-thgr-qchep-ph
keywords anglescatteringamplitudeclassicalequationpartpost-minkowskianrelativistic
verification ladder T0 review T1 audit T2 compute T3 formal
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Using the implicit function theorem we demonstrate that solutions to the classical part of the relativistic Lippmann-Schwinger equation are in one-to-one correspondence with those of the energy equation of a relativistic two-body system. A corollary is that the scattering angle can be computed from the amplitude itself, without having to introduce a potential. All results are universal and provide for the case of general relativity a very simple formula for the scattering angle in terms of the classical part of the amplitude, to any order in the post-Minkowskian expansion.

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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. High-post-Newtonian-order dynamical effects induced by tail-of-tail interactions in a two body system

    gr-qc 2025-07 accept novelty 7.0 of 10

    The paper derives 6.5PN tail-of-tail contributions to binary dynamics and finds agreement with independent self-force and worldline-EFT results.

  2. "Waveforms" at the Horizon

    gr-qc 2026-02 conditional novelty 6.0 of 10

    A probe scattering off a Schwarzschild black hole transfers a definite leading-order post-Minkowskian angular momentum to the horizon, given by new closed formulas (3.24b), (3.29), (3.36).

  3. 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...

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