Conservative (failed)-tail effects at the fifth post-Newtonian order

Abstract

This work deals with the tail and ``failed'' tail sectors of the conservative dynamics for compact binary systems at the 5PN order. We employ the Fokker Lagrangian method with dimensional regularization, and our results for the tail sector are perfectly consistent with the previous EFT computations. As for the ``failed'' tail sector, we have good hopes that this new computation will help solving the current discrepancy in the literature.

8 pages. v2: local report number added, harmless typo corrected in Eq. (3.8); v3 : post-referee version

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Cited by in corpus (6)

• The Science of the Einstein Telescope
• Spin effects in gravitational waveforms and fluxes for binaries on eccentric orbits to the third post-Newtonian order
• Mapping eccentricity evolutions between numerical relativity and effective-one-body gravitational waveforms
• Multipole expansion at the level of the action in $d$-dimensions
• Gravitational radiation from inspiralling compact binaries to N${}^3$LO in the Effective Field Theory approach
• Higher-order tails and RG flows due to scattering of gravitational radiation from binary inspirals