Completing the Fifth PN Precision Frontier via the EFT of Spinning Gravitating Objects

Abstract

We put forward a broader picture of the effective theory of a spinning particle within the EFT of spinning gravitating objects, through which we derive and establish the new precision frontier at the fifth PN (5PN) order. This frontier includes higher-spin sectors, quadratic and quartic in the spin, which both display novel physical features, due to the extension of the effective theory beyond linear order in the curvature. The quadratic-in-spin sectors give rise to a new tidal effect, and the quartic-in-spin sectors exhibit a new multipolar deformation. We then generalize the concept of tidal operators and of spin-induced multipolar operators, and make conjectures on the numerical values of their Wilson coefficients, and on the effective point-particle action of Kerr black holes. We confirm the generalized actions for generic compact binaries of the NLO quartic-in-spin sectors which were derived via the extension of the EFT of gravitating spinning objects. We first present the corresponding interaction potentials and general Hamiltonians, which consist of 12 distinct sectors, with a new one due to the new multipolar deformation. These Hamiltonians give the full physical information on the binary system, which mostly gets lost in higher-spin sectors, when going to the aligned-spins configuration. Moreover these general Hamiltonians uniquely allow us to find the complete Poincaré algebra at the 5PN order with spins, including the third subleading quadratic-in-spin sectors. We derive consequent observables for GW applications. Finally, to make contact with the scattering problem, we also derive the extrapolated scattering angles for aligned spins. Our completion of the Poincaré algebra provides the strongest validation of our most comprehensive new results, and thus that the 5PN order has now been established as the new precision frontier.

55 pp, published

References in corpus (15)

• Advanced LIGO
• Tidal Love numbers of neutron stars
• Relativistic theory of tidal Love numbers
• Sixth post-Newtonian local-in-time dynamics of binary systems
• Next-to-leading order gravitational spin-orbit coupling in an effective field theory approach
• 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
• The fifth-order post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach: potential contributions
• The 2PM Hamiltonian for binary Kerr to quartic in spin
• Love symmetry
• The 6th Post-Newtonian Potential Terms at $O(G_N^4)$
• Gravitational Spin-Orbit Hamiltonian at NNNLO in the post-Newtonian framework
• N${}^3$LO Quadratic-in-Spin Interactions for Generic Compact Binaries
• Quadratic-in-spin interactions at fifth post-Newtonian order probe new physics
• A tale of tails through generalized unitarity

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
• The Science of the Einstein Telescope
• Recursion in the classical limit and the neutron-star Compton amplitude
• N${}^3$LO Spin-Orbit Interaction via the EFT of Spinning Gravitating Objects
• Classical gravitational scattering at $\mathcal{O}(G^2{S}_1^{\infty }{S}_2^{\infty })$
• Massive twistor worldline in electromagnetic fields
• 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
• 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
• Tidal contributions to the full gravitational waveform to the second-and-a-half post-Newtonian order
• Observables and Unconstrained Spin Tensor Dynamics in General Relativity from Scattering Amplitudes
• Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory