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Peer-reviewedCC BYPhysical review. D/Physical review. D.

Analytic one-loop scattering waveform in general relativity

8 affiliations
  1. 1CEA
  2. 2CNRS
  3. 3INFN Sezione di Padova
  4. 4INFN Sezione di Pisa
  5. 5Institut de Physique Théorique
  6. 6Piazza dei Cavalieri
  7. 7Università degli Studi di Padova
  8. 8Université Paris-Saclay

Abstract

Leveraging the computational framework presented in Brunello and De Angelis [], we evaluate the analytic scattering waveform in general relativity to second order, G 3 M 3 / r b 2 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 G 4 numerically.

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BibTeX
@article{brunello2026analytic,
  title = {{Analytic one-loop scattering waveform in general relativity}},
  author = {Giacomo Brunello and Stefano De Angelis and David A. Kosower},
  journal = {Physical review. D/Physical review. D.},
  year = {2026},
  month = jul,
  doi = {10.1103/6xtl-qn8z},
  url = {https://doi.org/10.1103/6xtl-qn8z},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Analytic one-loop scattering waveform in general relativity
AU  - Giacomo Brunello
AU  - Stefano De Angelis
AU  - David A. Kosower
PY  - 2026
DA  - 2026/07/14
JO  - Physical review. D/Physical review. D.
DO  - 10.1103/6xtl-qn8z
UR  - https://doi.org/10.1103/6xtl-qn8z
AB  - Leveraging the computational framework presented in Brunello and De Angelis [], we evaluate the analytic scattering waveform in general relativity to second order, G 3 M 3 / r b 2 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 G 4 numerically.
SN  - 2470-0010
SN  - 2470-0029
SN  - 2470-0037
ER  -