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Conservative Tidal Effects in Compact Binary Systems to Next-to-Leading Post-Minkowskian Order
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abstract
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.
Forward citations
Cited by 3 Pith papers
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Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory
A shell-based EFT computes scalar Love numbers for Schwarzschild black holes through O(G^9) and conjectures an all-orders Riemann-zeta structure.
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Conservative Black Hole Scattering at Fifth Post-Minkowskian and Second Self-Force Order
The conservative black-hole scattering angle at fifth post-Minkowskian and second self-force order is computed in terms of K3 periods, but contains a coefficient fixed only by an ad hoc 'γ-3' prescription.
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Local-in-Time Conservative Binary Dynamics at Fifth Post-Minkowskian and First Self-Force Orders
The authors isolate the nonlocal tail part of the 5PM/1SF scattering angle and reconstruct a local-in-time Hamiltonian for generic bound orbits.
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