# Conservative Tidal Effects in Compact Binary Systems to Next-to-Leading Post-Minkowskian Order

13 Aug 2020  ·  Kälin Gregor, Liu Zhengwen, Porto Rafael A. ·

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 ${\cal O}(G^3)$... 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. read more

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High Energy Physics - Theory High Energy Astrophysical Phenomena General Relativity and Quantum Cosmology