We complete the computation of the gravitational-waveform amplitude for nonspinning compact binaries to the third and a half post-Newtonian (PN) order in the quasicircular case. This is done by performing a spin-weighted spherical harmonics decomposition of the amplitude. This computation is achieved using the post-Newtonian-multipolar-post-Minkowskian formalism. The amplitude modes are written in a PN-expanded way as well as a factorized form suitable for effective-one-body template building. Combining this work with previous ones, we provide in Supplemental Material the expressions of the modes including all nonspinning and spinning effects to the 3.5PN order for nonprecessing quasicircular binaries.

• Received 2 January 2023
• Accepted 6 February 2023

DOI:https://doi.org/10.1103/PhysRevD.107.044057

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Open access publication funded by the Max Planck Society.

Published by the American Physical Society