Gravitational Bound Waveforms from Amplitudes

Research output: Contribution to journalArticlepeer-review

Abstract / Description of output

With the aim of computing bound waveforms from scattering amplitudes, we explore gravitational two-body dynamics using the Schwinger-Dyson equations and Bethe-Salpeter recursion. We show that the tree-level scattering waveform admits a natural analytic continuation, in rapidity, to the bound waveform, which we confirm from an independent calculation, in the Post-Newtonian expansion, of the time-domain multipoles at large eccentricity. We demonstrate consistency of this scattering-to-bound map with the Damour-Deruelle prescription for orbital elements in the quasi-Keplerian parametrization (which enters into the evaluation of the multipoles) and with the analytic continuation, in the binding energy, of radiated energy and angular momentum at 3PM.
Original languageEnglish
Article number34
Pages (from-to)1-53
Number of pages53
JournalJournal of High Energy Physics
Publication statusPublished - 3 May 2024

Keywords / Materials (for Non-textual outputs)

  • Classical Theories of Gravity
  • Effective Field Theories
  • Scattering Amplitudes


Dive into the research topics of 'Gravitational Bound Waveforms from Amplitudes'. Together they form a unique fingerprint.

Cite this