Quadratic-in-spin interactions at fifth post-Newtonian order probe new physics

Abstract

We obtain for the first time all quadratic-in-spin interactions in spinning binaries at the third subleading order in post-Newtonian (PN) gravity, and provide their observable binding energies and their gauge-invariant relations to the angular momentum. Our results are valid for generic compact objects, orbits, and spin orientations, and enter at the fifth PN order for maximally-rotating objects, thus pushing the state of the art. This is accomplished through an extension of the effective field theory of spinning gravitating objects, and of its computational application. We also discover a new finite-size effect which is unique to spinning objects, with a new ``Spin Love number'' as its characteristic coefficient, that is a new probe for gravity and QCD.

7 pages, 1 figure, published

References in corpus (25)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• Advanced LIGO
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run
• Tidal Love numbers of neutron stars
• Relativistic theory of tidal Love numbers
• Observation of gravitational waves from two neutron star-black hole coalescences
• Tidal Deformation and Dissipation of Rotating Black Holes
• Novel approach to binary dynamics: application to the fifth post-Newtonian level
• Spinning Black Holes Fall in Love
• Tidal Love Numbers of Kerr Black Holes
• Binary dynamics at the fifth and fifth-and-a-half post-Newtonian orders
• Next-to-leading order gravitational spin-orbit coupling in an effective field theory approach
• Non-Relativistic Gravitation: From Newton to Einstein and Back
• Leading order finite size effects with spins for inspiralling compact binaries
• Hidden Symmetry of Vanishing Love
• The fifth-order post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach: potential contributions
• Les Houches Lectures on Effective Field Theories and Gravitational Radiation
• Gravitational spin-orbit coupling through third-subleading post-Newtonian order: from first-order self-force to arbitrary mass ratios
• N${}^3$LO gravitational spin-orbit coupling at order $G^4$
• Gravitational spin-orbit and aligned spin${}_1$-spin${}_2$ couplings through third-subleading post-Newtonian orders
• NNNLO gravitational quadratic-in-spin interactions at the quartic order in G
• Gravitational dynamics at $O(G^6)$: perturbative gravitational scattering meets experimental mathematics
• Hidden symmetry between rotational tidal Love numbers of spinning neutron stars

Cited by in corpus (16)

• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Vanishing of black hole tidal Love numbers from scattering amplitudes
• Linear Response, Hamiltonian and Radiative Spinning Two-Body Dynamics
• Gravitational Faraday effect from on-shell amplitudes
• Gravitational Spin-Orbit Hamiltonian at NNNLO in the post-Newtonian framework
• Scattering of gravitational waves off spinning compact objects with an effective worldline theory
• Completing the Fifth PN Precision Frontier via the EFT of Spinning Gravitating Objects
• N${}^3$LO Quadratic-in-Spin Interactions for Generic Compact Binaries
• N${}^3$LO Spin-Orbit Interaction via the EFT of Spinning Gravitating Objects
• Binary Dynamics from Worldline QFT for Scalar-QED
• From the EFT of Spinning Gravitating Objects to Poincaré and Gauge Invariance at the 4.5PN Precision Frontier
• Massive twistor worldline in electromagnetic fields
• Charged test-particle scattering and effective one-body metrics with spin
• Higher-order tails and RG flows due to scattering of gravitational radiation from binary inspirals
• Binary dynamics from Einstein-Maxwell theory at second post-Newtonian order using effective field theory
• Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory