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Gravitational Bremsstrahlung from Reverse Unitarity

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arxiv 2101.07255 v2 pith:J2HXVZH6 submitted 2021-01-18 hep-th gr-qchep-ph

Enrico Herrmann , Julio Parra-Martinez , Michael S. Ruf , Mao Zeng This is my paper · ORCID
classification hep-thgr-qchep-ph
keywords unitaritygravitationalobtainreversescatteringvelocityamplitudesanalytic
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute the total radiated momentum carried by gravitational waves during the scattering of two spinless black holes at the lowest order in Newton's constant, $\mathcal O(G^3)$, and all orders in velocity. By analytic continuation into the bound state regime, we obtain the ${\cal O}(G^3)$ energy loss in elliptic orbits. This provides an essential step towards the complete understanding of the third-post-Minkowskian binary dynamics. We employ the formalism of Kosower, Maybee, and O'Connell (KMOC) which relates classical observables to quantum scattering amplitudes and derive the relevant integrands using generalized unitarity. The subsequent phase-space integrations are performed via the reverse unitarity method familiar from collider physics, using differential equations to obtain the exact velocity dependence from near-static boundary conditions.

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Cited by 6 Pith papers

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

  1. Generalized Unitarity Method for Worldline Field Theory

    hep-th 2025-10 conditional novelty 7.0 of 10

    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...

  2. 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.

  3. Resummed energy loss in extreme-mass-ratio scattering using critical orbits

    gr-qc 2026-02 conditional novelty 6.0 of 10

    Near-separatrix logarithmic divergence, anchored by fitted unstable-circular-orbit fluxes, yields resummed formulas for energy loss in extreme-mass-ratio scattering that track exact numerical calculations to about 10-25%.

  4. "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).

  5. 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...

  6. Lecture notes: Introduction to the Off-shell Double Copy Program

    hep-th 2026-06 unverdicted novelty 2.5 of 10

    Self-contained lecture notes introduce the off-shell single/double copy relating Yang-Mills and DFDF gauge theories to Einstein-Hilbert, Weyl gravity and NS-NS supergravity via Kerr-Schild and Double Field Theory.

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