Comparison of 4.5PN and 2SF gravitational energy fluxes from quasicircular compact binaries

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) [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) [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.

18 pages, 6 figures, modes of PN flux provided in ancillary file, v2: major update due to corrections to the self-force data, v3: matches published version

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• Constants of motion in gravitational self-force theory