Comparison of 4.5PN and 2SF gravitational energy fluxes from quasicircular compact binaries
Comparison of 4.5PN and 2SF gravitational energy fluxes from quasicircular compact binaries
Recent years have seen significant advances in models of gravitational waveforms emitted by quasicircular compact binaries in two regimes: the weak-field, post-Newtonian regime, in which the gravitational wave energy flux has now been calculated to fourth-and-a-half post-Newtonian order (4.5PN) [L. Blanchet et al., Phys. Rev. Lett. 131, 121402 (2023)] and the small-mass-ratio, gravitational self-force regime, in which the flux has now been calculated to second perturbative order in the mass ratio (2SF) [N. Warburton et al., Phys. Rev. Lett. 127, 151102 (2021)]. We compare these results and find evidence of mutual consistency between the two (very distinct though both first-principle) perturbative calculations.
Warburton, Niels
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Wardell, Barry
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Trestini, David
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Henry, Quentin
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Pound, Adam
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Blanchet, Luc
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Durkan, Leanne
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Faye, Guillaume
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Miller, Jeremy
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23 April 2026
Warburton, Niels
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Wardell, Barry
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Trestini, David
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Henry, Quentin
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Pound, Adam
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Blanchet, Luc
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Durkan, Leanne
309fe5d3-e602-4d85-9099-dbf33d4461c4
Faye, Guillaume
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Miller, Jeremy
84debe26-2b50-42a1-8236-3fe75d64a6ea
Warburton, Niels, Wardell, Barry, Trestini, David, Henry, Quentin, Pound, Adam, Blanchet, Luc, Durkan, Leanne, Faye, Guillaume and Miller, Jeremy
(2026)
Comparison of 4.5PN and 2SF gravitational energy fluxes from quasicircular compact binaries.
Physical Review D, 113, [084050].
(doi:10.1103/tzsw-kcyt).
Abstract
Recent years have seen significant advances in models of gravitational waveforms emitted by quasicircular compact binaries in two regimes: the weak-field, post-Newtonian regime, in which the gravitational wave energy flux has now been calculated to fourth-and-a-half post-Newtonian order (4.5PN) [L. Blanchet et al., Phys. Rev. Lett. 131, 121402 (2023)] and the small-mass-ratio, gravitational self-force regime, in which the flux has now been calculated to second perturbative order in the mass ratio (2SF) [N. Warburton et al., Phys. Rev. Lett. 127, 151102 (2021)]. We compare these results and find evidence of mutual consistency between the two (very distinct though both first-principle) perturbative calculations.
Text
4PN_2SF_flux_comparison
- Accepted Manuscript
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Accepted/In Press date: 25 February 2026
e-pub ahead of print date: 23 April 2026
Published date: 23 April 2026
Identifiers
Local EPrints ID: 511196
URI: http://eprints.soton.ac.uk/id/eprint/511196
ISSN: 2470-0010
PURE UUID: 92e37655-2467-4b07-9d64-93b89a780a8e
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Date deposited: 06 May 2026 16:53
Last modified: 07 May 2026 02:10
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Contributors
Author:
Niels Warburton
Author:
Barry Wardell
Author:
David Trestini
Author:
Quentin Henry
Author:
Luc Blanchet
Author:
Leanne Durkan
Author:
Guillaume Faye
Author:
Jeremy Miller
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