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Analytic one-loop scattering waveform in general relativity

Giacomo Brunello1,2,3,*, Stefano De Angelis1,†, and David A. Kosower1,‡

  • *Contact author: giacomo.brunello@sns.it
  • †Contact author: stefano.de-angelis@ipht.fr
  • ‡Contact author: david.kosower@ipht.fr
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Phys. Rev. D 114, 045004 – Published 10 August, 2026

DOI: https://doi.org/10.1103/6xtl-qn8z

Abstract

Leveraging the computational framework presented in Brunello and De Angelis [J. High Energy Phys. 07 (2024) 062], we evaluate the analytic scattering waveform in general relativity to second order, G3M3/rb2 and to all orders in velocity. This new representation of the next-to-leading order waveform is well suited for numerical evaluation. Integrating the (modulus square of the) waveform over the angles on the celestial sphere, we also compute the power spectrum of the radiation to order G4 numerically.

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Phys. Rev. D 114, 045004– Published 10 August, 2026
  • Received 27 March 2026
  • Accepted 14 July 2026
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