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Radiation Reaction from Soft Theorems

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arxiv 2101.05772 v2 pith:SOYRDT5K submitted 2021-01-14 hep-th gr-qchep-ph

Paolo Di Vecchia , Carlo Heissenberg , Rodolfo Russo , Gabriele Veneziano This is my paper
classification hep-thgr-qchep-ph
keywords connectionradiationreactionsofttheoremsagreementalthoughanalyticity
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Radiation reaction (RR) terms at the third post-Minkowskian (3PM) order have recently been found to be instrumental in restoring smooth continuity between the non-relativistic, relativistic, and ultra-relativistic (including the massless) regimes. Here we propose a new and intriguing connection between RR and soft (bremsstrahlung) theorems which short-circuits the more involved conventional loop computations. Although first noticed in the context of the maximally supersymmetric theory, unitarity and analyticity arguments support the general validity of this 3PM-order connection that we apply, in particular, to Einstein's gravity and to its Jordan-Brans-Dicke extension. In the former case we find full agreement with a recent result by Damour obtained through a very different reasoning.

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Cited by 5 Pith papers

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

  1. Memory effect from the scattering of Taub-NUT black holes

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    Soft theorems yield a gauge-invariant nutty soft factor and the associated memory tensor for Kerr-Taub-NUT scattering, with magnetic components and directional divergences absent in electromagnetism.

  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 Unitarity Method for Worldline Field Theory

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    Worldline gravitational observables can be bootstrapped from locality, unitarity, gauge invariance, and a soft theorem once worldline energies are complexified, reproducing the known O(G^5/2) waveform and O(G^3) on-sh...

  4. Nonlinear Gravitational Memory in the Post-Minkowskian Expansion

    hep-th 2025-06 conditional novelty 7.0 of 10

    Exact-in-velocity formulas for the O(G^3) nonlinear gravitational memory multipoles from two-body scattering, derived with scattering amplitudes and reverse unitarity, and matched to post-Newtonian results.

  5. "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).

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