Using the Effective Field Theory approach together with the boundary-to-bound map, we compute the next-to-leading order (NLO) post-Minkowskian (PM) tidal effects in the conservative dynamics of compact binary systems. We derive the mass and current quadrupole and, for the first time, octupole corrections to the binding energy for circular orbits at $\mathcal{O}(G^3)$. Our results are consistent with the test-body limit as well as the existent post-Newtonian literature. We also reconstruct a Hamiltonian incorporating tidal effects to NLO in the PM expansion and find complete agreement with the recent derivation of its quadrupolar part using the classical limit of scattering amplitudes.

• Received 17 August 2020
• Accepted 27 October 2020

DOI:https://doi.org/10.1103/PhysRevD.102.124025

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. Funded by SCOAP³.

Published by the American Physical Society