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An Improved Framework for Computing Waveforms

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arxiv 2403.08009 v2 pith:DND2TG7G submitted 2024-03-12 hep-th gr-qc

Giacomo Brunello , Stefano De Angelis This is my paper · ORCID
classification hep-thgr-qc
keywords frameworkscatteringanalyticcomputingwaveformsamplitudeapplybodies
verification ladder T0 review T1 audit T2 compute T3 formal

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We combine the observable-based formalism (KMOC), the analytic properties of the scattering amplitude, generalised unitarity and the heavy-mass expansion with a newly introduced IBP reduction for Fourier integrals, to provide an efficient framework for computing scattering waveforms. We apply this framework to the scattering of two charged massive bodies in classical electrodynamics. Our work paves the way for the computation of the analytic one-loop waveform in General Relativity.

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Cited by 5 Pith papers

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  1. Gravitational Bremsstrahlung in Black-Hole Scattering at $\mathcal{O}(G^3)$: Quadratic-in-Spin Effects

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    First computation of the O(G^3 S^2) momentum-space gravitational waveform for two scattering spinning black holes, plus the leading three-body spinning waveform.

  2. Resumming Post-Minkowskian and Post-Newtonian gravitational waveform expansions

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    A new hypergeometric representation of the confluent Heun equation resums infinite PM/PN correction series and yields the circular-orbit energy flux to 30PN order, matching independent numerical black-hole perturbatio...

  3. "Waveforms" at the Horizon

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    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).

  4. On-shell approach to scalar hair in spinning binaries

    hep-th 2024-11 conditional novelty 6.0 of 10

    Scalar hair on spinning compact objects is described by a conformal coupling of matter to a massless scalar, yielding matching waveforms and energy loss formulas for scalar-tensor gravity binaries.

  5. Classical Black Hole Scattering to Celestial Amplitudes in Effective Theories of Gravity

    hep-th 2026-08 conditional novelty 3.0 of 10

    A doctoral thesis reproduces the author's published post-Newtonian and post-Minkowskian two-body observables and celestial amplitudes in scalar-tensor, Chern-Simons, Einstein-Maxwell-dilaton, and quadratic gravity.

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