The 2PM Hamiltonian for binary Kerr to quartic in spin

Abstract

From the S-matrix of spinning particles, we extract the 2 PM conservative potential for binary spinning black holes up to quartic order in spin operators. An important ingredient is the exponentiated gravitational Compton amplitude in the classical spin-limit for all graviton helicity sectors. The validity of the resulting Hamiltonian is verified by matching to known lower spin order results, as well as direct computation of the 2PM impulse and spin kicks from the eikonal phase and that from the test black hole scattering based on Mathisson-Papapetrou-Dixon equations.

Published version; minor corrections and improvements for clarity; (v4) ancillary file corrected (Observables.wl -> Observables2.wl)

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Cited by in corpus (38)

• One-loop Gravitational Bremsstrahlung and Waveforms from a Heavy-Mass Effective Field Theory
• Classical gravitational spinning-spinless scattering at $\mathcal{O}(G^2{S}^{\infty })$
• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Resummed spinning waveforms from five-point amplitudes
• Linear Response, Hamiltonian and Radiative Spinning Two-Body Dynamics
• Scattering Angles in Kerr Metrics
• Scalar QED as a toy model for higher-order effects in classical gravitational scattering
• Classical Spin Gravitational Compton Scattering
• Classical Limit of Higher-Spin String Amplitudes
• Spinning waveforms from KMOC at leading order
• Gravitational Faraday effect from on-shell amplitudes
• Completing the Fifth PN Precision Frontier via the EFT of Spinning Gravitating Objects
• Scattering of gravitational waves off spinning compact objects with an effective worldline theory
• Recursion in the classical limit and the neutron-star Compton amplitude
• Bethe-Salpeter equation for classical gravitational bound states
• 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
• Kinematic Hopf algebra for amplitudes and form factors
• Spinning Black Hole Scattering at $\mathcal{O}(G^3{S}^2)$: Casimir Terms, Radial Action and Hidden Symmetry
• First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order
• From the EFT of Spinning Gravitating Objects to Poincaré and Gauge Invariance at the 4.5PN Precision Frontier
• Massive twistor worldline in electromagnetic fields
• Scattering Amplitudes and N-Body Post-Minkowskian Hamiltonians in General Relativity and Beyond
• Quantum corrections to frame-dragging in scattering 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
• The spinning self-force EFT: 1SF waveform recursion relation and Compton scattering
• The gravitational Compton amplitude from flat and curved spacetimes at second post-Minkowskian order
• Observables and Unconstrained Spin Tensor Dynamics in General Relativity from Scattering Amplitudes
• Scrambling and Entangling Spinning Particles
• Dynamics for Super-Extremal Kerr Binary Systems at $\mathcal{O}(G^2)$
• Unexpected Symmetries of Kerr Black Hole Scattering
• Graviton Photoproduction by a Kerr-Newman Black Hole with Worldline EFT
• Gravitational multipoles from scattering amplitudes in higher dimensions