Gravitational Spin-Orbit Hamiltonian at NNNLO in the post-Newtonian framework

Abstract

We present the result of the spin-orbit interaction Hamiltonian for binary systems of rotating compact objects with generic spins, up to NNNLO corrections within the post-Newtonian expansion. The calculation is performed by employing the effective field theory diagrammatic approach, and it involves Feynman integrals up to three loops, evaluated within the dimensional regularization scheme. We apply canonical transformations to eliminate the non-physical divergences and spurious logarithmic behaviours of the Hamiltonian, and use the latter to derive the gauge-invariant binding energy and the scattering angle, in special kinematic regimes.

Generic Hamiltonian amended, satisfying Poincare Algebra, following arXiv:2208.14949 and arXiv:2210.17538. Ancillary files are revised

References in corpus (27)

• Advanced LIGO
• Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory
• Higher-order spin effects in the dynamics of compact binaries I. Equations of motion
• Hamiltonian of two spinning compact bodies with next-to-leading order gravitational spin-orbit coupling
• Scattering Amplitudes, the Tail Effect, and Conservative Binary Dynamics at $O(G^4)$
• Conservative Dynamics of Binary Systems at Fourth Post-Minkowskian Order in the Large-eccentricity Expansion
• Next-to-next-to-leading order spin-orbit effects in the near-zone metric and precession equations of compact binaries
• Sixth post-Newtonian local-in-time dynamics of binary systems
• Effective field theory calculation of second post-Newtonian binary dynamics
• Energy and periastron advance of compact binaries on circular orbits at the fourth post-Newtonian order
• Next-to-leading order gravitational spin-orbit coupling in an effective field theory approach
• Static two-body potential at fifth post-Newtonian order
• The dynamics of the gravitational two-body problem at fourth post-Newtonian order and at quadratic order in the Newton constant
• Non-Relativistic Gravitation: From Newton to Einstein and Back
• ADM canonical formalism for gravitating spinning objects
• Leading order finite size effects with spins for inspiralling compact binaries
• Equivalence of ADM Hamiltonian and Effective Field Theory approaches at next-to-next-to-leading order spin1-spin2 coupling of binary inspirals
• Conservative and radiative dynamics of spinning bodies at third post-Minkowskian order using worldline quantum field theory
• A worldsheet for Kerr
• Classical Effective Field Theory and Caged Black Holes
• Classical gravitational spinning-spinless scattering at $\mathcal{O}(G^2{S}^{\infty })$
• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• The 6th Post-Newtonian Potential Terms at $O(G_N^4)$
• Gravitational scattering at the seventh order in $G$: nonlocal contribution at the sixth post-Newtonian accuracy
• The n-body problem in General Relativity up to the second post-Newtonian order from perturbative field theory
• Quadratic-in-spin interactions at fifth post-Newtonian order probe new physics
• Classical gravitational scattering from a gauge-invariant double copy

Cited by in corpus (13)

• Laying the foundation of the effective-one-body waveform models SEOBNRv5: improved accuracy and efficiency for spinning non-precessing binary black holes
• Completing the Fifth PN Precision Frontier via the EFT of Spinning Gravitating Objects
• Worldline effective field theory of inspiralling black hole binaries in presence of dark photon and axionic dark matter
• Gravitational Quadratic-in-Spin Hamiltonian at NNNLO in the post-Newtonian framework
• Renormalizing Love: tidal effects at the third post-Newtonian order
• Large Gauge Effects and the Structure of Amplitudes
• Gravitoelectric dynamical tides at second post-Newtonian order
• From the EFT of Spinning Gravitating Objects to Poincaré and Gauge Invariance at the 4.5PN Precision Frontier
• Massive twistor worldline in electromagnetic fields
• Spin supplementary condition in quantum field theory: covariant SSC and physical state projection
• Radiating Love: adiabatic tidal fluxes and modes up to next-to-next-to-leading post-Newtonian order
• No Warm Inflation From a Vanilla Axion
• Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory