Radiation reaction for spinning black-hole scattering

Abstract

Starting from the leading soft term of the 5-point amplitude, involving a graviton and two Kerr black holes, that factorises into the product of the elastic amplitude without the graviton and the leading soft factor, we compute the infrared divergent contribution to the imaginary part of the two-loop eikonal. Then, using analyticity and crossing symmetry, we determine the radiative contribution to the real part of the two-loop eikonal and from it the radiative part of the deflection angle for spins aligned to the orbital angular momentum, the loss of angular momentum and the zero frequency limit of the energy spectrum for any spin and for any spin orientation. For spin one we find perfect agreement with recent results obtained with the supersymmetric worldline formalism.

12 pages + bibliography, 2 figures

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• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• Low-Energy Behavior of Gluons and Gravitons from Gauge Invariance
• From amplitudes to gravitational radiation with cubic interactions and tidal effects
• Gravitational spin-orbit coupling in binary systems, post-Minkowskian approximation and effective one-body theory

Cited by in corpus (11)

• 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
• Linear Response, Hamiltonian and Radiative Spinning Two-Body Dynamics
• Angular momentum of zero-frequency gravitons
• Scattering Angles in Kerr Metrics
• Classical Limit of Higher-Spin String Amplitudes
• Gravitational Faraday effect from on-shell amplitudes
• Angular Momentum Loss Due to Tidal Effects in the Post-Minkowskian Expansion
• Radiation-reaction and angular momentum loss at the second Post-Minkowskian order
• Scattering Amplitudes and N-Body Post-Minkowskian Hamiltonians in General Relativity and Beyond
• Scrambling and Entangling Spinning Particles