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Local-in-Time Conservative Binary Dynamics at Fifth Post-Minkowskian and First Self-Force Orders
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We report the local-in-time conservative dynamics of nonspinning binary systems at fifth Post-Minkowskian (5PM) and first self-force (1SF) orders. This follows from an explicit calculation of the 5PM/1SF nonlocal-in-time tail-type contribution to the deflection angle via worldline effective field theory techniques. Proceeding as in [2403.04853], we subtract the nonlocal tail terms from the result in [2403.07781] and reconstruct a local-in-time Hamiltonian in isotropic gauge -- valid for generic orbits. For completeness, we reinstate the nonlocal terms relevant for elliptic-like motion up to 6PN/1SF in a small-eccentricity expansion. Via the connection between the (source) energy flux in [2210.05541] and tail effects, we also derive the SF-exact logarithmic-dependent part of the full 5PM bound Hamiltonian. Our results provide the most accurate description to date of the dynamics of bound compact objects within the framework of relativistic scattering computations.
Forward citations
Cited by 12 Pith papers
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Nonlocal-in-time tail effects in gravitational scattering to fifth Post-Minkowskian and tenth self-force orders
Nonlocal-in-time conservative tail contributions to gravitational scattering are derived at 5PM and 10SF orders, expressed via polylogarithms up to weight three and agreeing with prior results through 6PN.
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Conservative Black Hole Scattering at Fifth Post-Minkowskian and Second Self-Force Order
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Hidden simplicity in the scattering for neutron stars and black holes
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A Runway to Dissipation of Angular Momentum via Worldline Quantum Field Theory
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Derives 5PN scattering observables and a conservative Hamiltonian contribution for black holes that determines EOB parameters d5loc and a6loc.
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Heterotic Footprints in Classical Gravity: PM dynamics from On-Shell soft amplitudes at one loop
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Manifest symplecticity in classical scattering
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