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PreprintCC BY 4.0HAL

Analytical Time-Domain Waveforms for Black-Hole Scattering in the Post-Minkowskian Expansion

  • Stefano de Angelis
  • Vincent F He
  • Julio Parra-Martinez
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Abstract

We present the first analytic computation of the time-domain multipoles of the gravitational waveform from hyperbolic black-hole scattering at leading order in the post-Minkowskian expansion, to all orders in velocity. We perform the partial-wave projection as a cut loop integral, which enables the use of dimensional regularization and associated integration techniques. As opposed to the frequency domain, the time-domain multipoles are logarithmic and do not contain Bessel-like functions. Our results pave the way for the incorporation of post-Minkowskian fluxes in waveform models for binary mergers.

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Cite

BibTeXRIS
BibTeX
@misc{angelis2026analytical,
  title = {{Analytical Time-Domain Waveforms for Black-Hole Scattering in the Post-Minkowskian Expansion}},
  author = {Stefano de Angelis and Vincent F He and Julio Parra-Martinez},
  howpublished = {HAL},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.20452},
  eprint = {2610.20452},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05843926v1},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Analytical Time-Domain Waveforms for Black-Hole Scattering in the Post-Minkowskian Expansion
AU  - Stefano de Angelis
AU  - Vincent F He
AU  - Julio Parra-Martinez
PY  - 2026
DA  - 2026/10/14
PB  - HAL
DO  - 10.48550/arxiv.2610.20452
UR  - https://hal.science/hal-05843926v1
AB  - We present the first analytic computation of the time-domain multipoles of the gravitational waveform from hyperbolic black-hole scattering at leading order in the post-Minkowskian expansion, to all orders in velocity. We perform the partial-wave projection as a cut loop integral, which enables the use of dimensional regularization and associated integration techniques. As opposed to the frequency domain, the time-domain multipoles are logarithmic and do not contain Bessel-like functions. Our results pave the way for the incorporation of post-Minkowskian fluxes in waveform models for binary mergers.
ER  -