Conservative scattering of spinning black holes at fourth post-Minkowskian order

2023/06/02 by Gustav Uhre Jakobsen, Gustav Mogull, Jakobsen, Gustav Uhre +7 · 12 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2306.01714

openalex publication_date 2023/06/02 · openalex created_date 2023/06/07 · openalex updated_date 2026/07/28

Abstract

Using the \mathcal N=1 supersymmetric, spinning worldline quantum field theory formalism we compute the conservative spin-orbit part of the momentum impulse Δp_i^μ, spin kick ΔS_i^μ and scattering angle θ from the scattering of two spinning massive bodies (black holes or neutron stars) up to fourth post-Minkowskian (PM) order. These three-loop results extend the state-of-the-art for generically spinning binaries from 3PM to 4PM. They are obtained by employing recursion relations for the integrand construction and advanced multi-loop Feynman integral technology in the causal (in-in) worldline quantum field theory framework to directly produce classical observables. We focus on the conservative contribution (including tail effects) and outline the computations for the dissipative contributions as well. Our spin-orbit results agree with N³LO post-Newtonian and test-body data in the respective limits. We also re-confirm the conservative 4PM non-spinning results.

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
• Heterotic Footprints in Classical Gravity: PM dynamics from On-Shell soft amplitudes at one loop
• 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
• Spinning the Probe in Kerr with WQFT
• The Central Emission Vertex of two gravitons
• Classification of Feynman integral geometries for black-hole scattering at 5PM order

Related

• Dissipative scattering of spinning black holes at fourth post-Minkowskian order
• Gravitational Scattering of Compact Bodies from Worldline Quantum Field Theory
• Radiated Angular Momentum from Spinning Black Hole Scattering Trajectories
• Conservative Black Hole Scattering at Fifth Post-Minkowskian and First Self-Force Order
• Quantum point particle approximation of spinning black holes and compact stars