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.

arXiv comment12 pages + bibliography, 2 figures

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• Angular momentum of zero-frequency gravitons
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• Classical Limit of Higher-Spin String Amplitudes
• Gravitational Faraday effect from on-shell amplitudes
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• Radiation-reaction and angular momentum loss at the second Post-Minkowskian order
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• Scrambling and Entangling Spinning Particles