Gravitational Bremsstrahlung in Black-Hole Scattering at O(G³): Quadratic-in-Spin Effects

2025/05/21 by Lara Bohnenblust, H. Ita, Bohnenblust, Lara +5 · 9 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.2505.15724

openalex publication_date 2025/05/21 · openalex created_date 2025/10/19 · openalex updated_date 2026/07/28

Abstract

We are employing a supersymmetric variant of the worldline quantum field theory (WQFT) formalism to compute the far-field momentum-space gravitational waveform emitted during the scattering of two spinning black holes at next-to-leading order (NLO) in the post-Minkowskian expansion. Our results are accurate up to quadratic-in-spin contributions, which means we report for the very first time the waveform observable at the order O(G³S²). Our computation is based on mapping n-body tree-level amplitudes in such a way that we can obtain the (n-2)-loop two-body waveform integrand. We discuss in detail this procedure and highlight the similarity of the resulting structures with those obtained in the scattering-amplitude approach. As a by product of our computational approach, we also obtain, for the first time, the leading-order waveform for three-body scattering of spinning black holes. We validated our results in various ways but most notably, we find exact agreement for the NLO waveform integrand obtained from the WQFT and the classical limit of scattering amplitudes in QFT.

Citations

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Cited by

• Asymptotic Simplicity and Scattering in General Relativity from Quantum Field Theory
• Scattering Gravitons off General Spinning Compact Objects to O(G² S⁴)
• Magnusian: Relating the Eikonal Phase, the On-Shell Action, and the Scattering Generator
• Unitarity and the On-Shell Action of Worldline Quantum Field Theory
• Unexpected Symmetries of Kerr Black Hole Scattering
• Radiated Angular Momentum from Spinning Black Hole Scattering Trajectories
• The gravitational Compton amplitude from flat and curved spacetimes at second post-Minkowskian order
• Searching for Kerr in string amplitudes
• Dirac brackets for classical radiative observables

Related

• Gravitational Bremsstrahlung in Black-Hole Scattering at O(G³): Linear-in-Spin Effects
• Radiated Angular Momentum from Spinning Black Hole Scattering Trajectories
• Gravitational Scattering of Compact Bodies from Worldline Quantum Field Theory
• Conservative scattering of spinning black holes at fourth post-Minkowskian order
• Gravitational Bremsstrahlung Waveform at the fourth Post-Minkowskian order and the second Post-Newtonian level