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Dissipative scattering of spinning black holes at fourth post-Minkowskian order
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abstract
We compute the radiation reacted momentum impulse $\Delta p_i^\mu$, spin kick $\Delta S_i^\mu$, and scattering angle $\theta$ between two scattered spinning massive bodies (black holes or neutron stars) using the $\mathcal{N}=1$ supersymmetric worldline quantum field theory formalism up to fourth post-Minkowskian (4PM) order. Our calculation confirms the state-of-the-art non-spinning results, and extends them to include spin-orbit effects. Advanced multi-loop Feynman integral technology including differential equations and the method of regions are applied and extended to deal with the retarded propagators arising in a causal description of the scattering dynamics. From these results we determine a complete set of radiative fluxes at sub-leading PM order: the 4PM radiated four-momentum and, via linear response, the 3PM radiated angular momentum, both again including spin-orbit effects.
Forward citations
Cited by 9 Pith papers
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Radiation-Reaction and Angular Momentum Loss at $\mathcal{O}(G^4)$
A closed-form, all-velocity expression for the O(G^4) radiated angular momentum in two-body gravitational scattering is derived, resumming all half-odd post-Newtonian corrections.
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Supertranslations are Soft Dressings
Coherent-state dressings by zero-energy gravitons are equivalent to BMS supertranslations, and the associated conserved charge produces a universal, all-orders shift of the scattering impact parameter.
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Conservative Black Hole Scattering at Fifth Post-Minkowskian and Second Self-Force Order
The conservative black-hole scattering angle at fifth post-Minkowskian and second self-force order is computed in terms of K3 periods, but contains a coefficient fixed only by an ad hoc 'γ-3' prescription.
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Local-in-Time Conservative Binary Dynamics at Fifth Post-Minkowskian and First Self-Force Orders
The authors isolate the nonlocal tail part of the 5PM/1SF scattering angle and reconstruct a local-in-time Hamiltonian for generic bound orbits.
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First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order
The O(G^3) conservative and radiation-reaction classical observables for spinning black-hole scattering are extended to quartic order in spin, with all-order-in-spin radiation reaction beyond the aligned-spin limit.
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Spinning bodies in general relativity from bosonic worldline oscillators
A bosonic-oscillator worldline action for spinning compact bodies in general relativity is constructed, and it reproduces known post-Minkowskian scattering results while remaining valid to all orders in spin.
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Resummed energy loss in extreme-mass-ratio scattering using critical orbits
Near-separatrix logarithmic divergence, anchored by fitted unstable-circular-orbit fluxes, yields resummed formulas for energy loss in extreme-mass-ratio scattering that track exact numerical calculations to about 10-25%.
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Graviton Photoproduction by a Kerr-Newman Black Hole with Worldline EFT
The graviton-to-photon conversion amplitude for a Kerr-Newman black hole is computed through O(S^2) in the long-wavelength worldline EFT and shown to be fully determined by the black hole's electromagnetic and mass mu...
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One-Loop Observables to Higher Order in Spin
New one-loop formulas express the momentum impulse and spin kick of two scattered spinning bodies directly in terms of the eikonal phase, valid to all orders in spin and independent of the spin supplementary condition.
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