NLO gravitational quartic-in-spin interaction

Abstract

In this paper we derive for the first time the complete gravitational quartic-in-spin interaction of generic compact binaries at the next-to-leading order in the post-Newtonian (PN) expansion. The derivation builds on the effective field theory for gravitating spinning objects, and its recent extensions, in which new type of worldline couplings should be considered, as well as on the extension of the effective action of a spinning particle to quadratic order in the curvature. The latter extension entails a new Wilson coefficient that appears in this sector. This work pushes the precision frontier with spins at the fifth PN (5PN) order for maximally-spinning compact objects, and at the same time informs us of the gravitational Compton scattering with higher spins.

arXiv comment29 pp, 6 figures, 1 table, 1 ancillary .nb file, published

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Cited by in corpus (25)

• Classical Gravitational Bremsstrahlung from a Worldline Quantum Field Theory
• Quadratic-in-Spin Hamiltonian at $\mathcal{O}(G^2)$ from Scattering Amplitudes
• Compton Black-Hole Scattering for $s\le 5/2$
• Binary Dynamics Through the Fifth Power of Spin at $\mathcal{O}(G^2)$
• A worldsheet for Kerr
• The 2PM Hamiltonian for binary Kerr to quartic in spin
• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Spin effects on neutron star fundamental-mode dynamical tides: phenomenology and comparison to numerical simulations
• N${}^3$LO gravitational spin-orbit coupling at order $G^4$
• NNNLO gravitational quadratic-in-spin interactions at the quartic order in G
• Tidal effects for spinning particles
• Gravitational Faraday effect from on-shell amplitudes
• Completing the Fifth PN Precision Frontier via the EFT of Spinning Gravitating Objects
• Scattering of gravitational waves off spinning compact objects with an effective worldline theory
• N${}^3$LO Quadratic-in-Spin Interactions for Generic Compact Binaries
• N${}^3$LO Spin-Orbit Interaction via the EFT of Spinning Gravitating Objects
• Post-Newtonian Waveforms from Spinning Scattering Amplitudes
• Classical and quantum gravitational scattering with Generalized Wilson Lines
• Large Gauge Effects and the Structure of Amplitudes
• From the EFT of Spinning Gravitating Objects to Poincaré and Gauge Invariance at the 4.5PN Precision Frontier
• Spin supplementary condition in quantum field theory: covariant SSC and physical state projection
• Gravitational spin-orbit dynamics at the fifth-and-a-half post-Newtonian order
• Higher-order tails and RG flows due to scattering of gravitational radiation from binary inspirals
• Classical gravitational scattering from a gauge-invariant double copy
• Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory