Linear Response, Hamiltonian and Radiative Spinning Two-Body Dynamics

Abstract

Using the spinning, supersymmetric Worldline Quantum Field Theory formalism we compute the momentum impulse and spin kick from a scattering of two spinning black holes or neutron stars up to quadratic order in spin at third post-Minkowskian (PM) order, including radiation-reaction effects and with arbitrarily mis-aligned spin directions. Parts of these observables, both conservative and radiative, are also inferred from lower-PM scattering data by extending Bini and Damour's linear response formula to include mis-aligned spins. By solving Hamilton's equations of motion we also use a conservative scattering angle to infer a complete 3PM two-body Hamiltonian including finite-size corrections and mis-aligned spin-spin interactions. Finally, we describe mappings to the bound two-body dynamics for aligned spin vectors: including a numerical plot of the binding energy for circular orbits compared with numerical relativity, analytic confirmation of the NNLO PN binding energy and the energy loss over successive orbits.

23 pages, 2 figures

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Cited by in corpus (24)

• The SXS Collaboration's third catalog of binary black hole simulations
• Spinning waveforms from KMOC at leading order
• Recursion in the classical limit and the neutron-star Compton amplitude
• Gravitational Quadratic-in-Spin Hamiltonian at NNNLO in the post-Newtonian framework
• Classical gravitational scattering at $\mathcal{O}(G^2{S}_1^{\infty }{S}_2^{\infty })$
• Angular Momentum Loss Due to Tidal Effects in the Post-Minkowskian Expansion
• Boundary to bound dictionary for generic Kerr orbits
• Post-Minkowskian Theory Meets the Spinning Effective-One-Body Approach for Two-Body Scattering
• Observables from the Spinning Eikonal
• Scattering and bound observables for spinning particles in Kerr spacetime with generic spin orientations
• Gravitational Bound Waveforms from Amplitudes
• A Rutherford-like formula for scattering off Kerr-Newman BHs and subleading corrections
• First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order
• Spinning Black Hole Scattering at $\mathcal{O}(G^3{S}^2)$: Casimir Terms, Radial Action and Hidden Symmetry
• Classical off-shell currents
• Large Gauge Effects and the Structure of Amplitudes
• Spin supplementary condition in quantum field theory: covariant SSC and physical state projection
• Charged test-particle scattering and effective one-body metrics with spin
• Dirac brackets for classical radiative observables
• Highly accurate simulations of asymmetric black-hole scattering and cross validation of effective-one-body models
• The first law of binary black hole scattering
• Double soft graviton factors from the gravitational Wilson line
• Unexpected Symmetries of Kerr Black Hole Scattering
• Graviton Photoproduction by a Kerr-Newman Black Hole with Worldline EFT