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.

arXiv comment55 pp, published

References in corpus (45)

• Advanced LIGO
• Tidal Love numbers of neutron stars
• Effective one-body approach to general relativistic two-body dynamics
• Relativistic tidal properties of neutron stars
• Relativistic theory of tidal Love numbers
• An Effective Field Theory of Gravity for Extended Objects
• Post-Newtonian corrections to the motion of spinning bodies in NRGR
• Scattering of Spinning Black Holes from Exponentiated Soft Factors
• Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
• Next to Leading Order Spin(1)Spin(1) Effects in the Motion of Inspiralling Compact Binaries
• Black hole stereotyping: Induced gravito-static polarization
• Spinning gravitating objects in the effective field theory in the post-Newtonian scheme
• 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
• Sixth post-Newtonian local-in-time dynamics of binary systems
• Tidal Love Numbers of Kerr Black Holes
• Binary dynamics at the fifth and fifth-and-a-half post-Newtonian orders
• On the Vanishing of Love Numbers for Kerr Black Holes
• Next-to-leading order gravitational spin-orbit coupling in an effective field theory approach
• Binary dynamics from spin1-spin2 coupling at fourth post-Newtonian order
• Next-to-leading order gravitational spin1-spin2 coupling with Kaluza-Klein reduction
• Leading order finite size effects with spins for inspiralling compact binaries
• Hidden Symmetry of Vanishing Love
• Next-to-next-to-leading order gravitational spin-squared potential via the effective field theory for spinning objects in the post-Newtonian scheme
• Testing binary dynamics in gravity at the sixth post-Newtonian level
• 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
• Next-to-next-to-leading order gravitational spin-orbit coupling via the effective field theory for spinning objects in the post-Newtonian scheme
• Love symmetry
• Equations of Motion for Spinning Particles in External\\Electromagnetic and Gravitational Fields
• 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 $G^4$
• NNNLO gravitational quadratic-in-spin interactions at the quartic order in G
• Gravitational spin-orbit and aligned spin${}_1$-spin${}_2$ couplings through third-subleading post-Newtonian orders
• The 6th Post-Newtonian Potential Terms at $O(G_N^4)$
• NLO gravitational quartic-in-spin interaction
• EFTofPNG: A package for high precision computation with the Effective Field Theory of Post-Newtonian Gravity
• Complete conservative dynamics for inspiralling compact binaries with spins at the fourth post-Newtonian order
• 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
• Hidden symmetry between rotational tidal Love numbers of spinning neutron stars

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• 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 $\mathcal{O}(G^2{S}_1^{\infty }{S}_2^{\infty })$
• 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
• Charged test-particle scattering and effective one-body metrics with spin
• Tidal contributions to the full gravitational waveform to the second-and-a-half post-Newtonian order
• Higher-order tails and RG flows due to scattering of gravitational radiation from binary inspirals
• 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