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Gravitational Bremsstrahlung with tidal effects in the post-Minkowskian expansion

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arxiv 2204.06556 v4 pith:IMDGHK3U submitted 2022-04-13 hep-th gr-qc

classification hep-thgr-qc
keywords tidalbodiesexpansionorderscatteringamplitudeapproachbremsstrahlung
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute the mass and current quadrupole tidal corrections to the four-momentum and energy flux radiated during the scattering of two spinless bodies, at leading order in $G$ and at all orders in the velocities, using the effective field theory worldline approach. In particular, we derive the conserved stress-energy tensor linearly coupled to gravity generated by the two bodies, including tidal fields, and the waveform in direct space. The integral is solved using scattering amplitude techniques. We show that our expressions are consistent with existing results up to the next-to-next-to-leading order in the post-Newtonian 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. Radiation-Reaction and Angular Momentum Loss at $\mathcal{O}(G^4)$

    hep-th 2025-01 accept novelty 8.0 of 10

    A closed-form, all-velocity expression for the O(G^4) radiated angular momentum in two-body gravitational scattering is derived, resumming all half-odd post-Newtonian corrections.

  2. Conservative Black Hole Scattering at Fifth Post-Minkowskian and Second Self-Force Order

    hep-th 2026-01 conditional novelty 7.0 of 10

    The conservative black-hole scattering angle at fifth post-Minkowskian and second self-force order is computed in terms of K3 periods, but contains a coefficient fixed only by an ad hoc 'γ-3' prescription.

  3. Generalized Wilson lines and the gravitational scattering of spinning bodies

    hep-th 2024-12 conditional novelty 7.0 of 10

    A new generalized Wilson line representation for spin-1/2 and classical spinning bodies is derived, reproducing known 2PM gravitational scattering observables.

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