N${}^3$LO gravitational spin-orbit coupling at order $G^4$

Abstract

In this paper we derive for the first time the N${}^3$LO gravitational spin-orbit coupling at order $G^4$ in the post-Newtonian (PN) approximation within the effective field theory (EFT) of gravitating spinning objects. This represents the first computation in a spinning sector involving three-loop integration. We provide a comprehensive account of the topologies in the worldline picture for the computation at order $G^4$. Our computation makes use of the publicly-available \texttt{EFTofPNG} code, which is extended using loop-integration techniques from particle amplitudes. We provide the results for each of the Feynman diagrams in this sector. The three-loop graphs in the worldline picture give rise to new features in the spinning sector, including divergent terms and logarithms from dimensional regularization, as well as transcendental numbers, all of which survive in the final result of the topologies at this order. This result enters at the 4.5PN order for maximally-rotating compact objects, and together with previous work in this line, paves the way for the completion of this PN accuracy.

arXiv comment27 pp, 11 figures, 1 table, 30 pp PDF appendix, ancillary .m file, published

References in corpus (45)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• TianQin: a space-borne gravitational wave detector
• Effective one-body approach to general relativistic two-body dynamics
• An Effective Field Theory of Gravity for Extended Objects
• JaxoDraw: A graphical user interface for drawing Feynman diagrams
• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• The analytical value of the electron (g-2) at order alpha^3 in QED
• Black Hole Binary Dynamics from the Double Copy and Effective Theory
• From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
• JaxoDraw: A graphical user interface for drawing Feynman diagrams. Version 2.0 release notes
• Post-Newtonian corrections to the motion of spinning bodies in NRGR
• Dimensional regularization of the gravitational interaction of point masses
• 3rd post-Newtonian higher order Hamilton dynamics for two-body point-mass systems
• Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
• Dimensional regularization of the third post-Newtonian dynamics of point particles in harmonic coordinates
• General relativistic dynamics of compact binaries at the third post-Newtonian order
• Spinning gravitating objects in the effective field theory in the post-Newtonian scheme
• Holomorphic Classical Limit for Spin Effects in Gravitational and Electromagnetic Scattering
• Next-to-next-to-leading order spin-orbit effects in the near-zone metric and precession equations of compact binaries
• New derivation of a third post-Newtonian equation of motion for relativistic compact binaries without ambiguity
• The binary black-hole problem at the third post-Newtonian approximation in the orbital motion: Static part
• Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach I: Regularized Lagrangian
• On the equations of motion of point-particle binaries at the third post-Newtonian order
• Effective field theory calculation of conservative binary dynamics at third 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
• Binary dynamics from spin1-spin2 coupling at fourth post-Newtonian order
• Next-to-leading order gravitational spin1-spin2 coupling with Kaluza-Klein reduction
• Non-Relativistic Gravitation: From Newton to Einstein and Back
• Leading order finite size effects with spins for inspiralling compact binaries
• Five-Loop Static Contribution to the Gravitational Interaction Potential of Two Point Masses
• Next-to-next-to-leading order spin-orbit effects in the equations of motion of compact binary systems
• Next-to-next-to-leading order gravitational spin-squared potential via the effective field theory for spinning objects in the post-Newtonian scheme
• Equivalence of ADM Hamiltonian and Effective Field Theory approaches at next-to-next-to-leading order spin1-spin2 coupling of binary inspirals
• Tail-induced spin-orbit effect in the gravitational radiation of compact binaries
• Next-to-next-to-leading order gravitational spin-orbit coupling via the effective field theory for spinning objects in the post-Newtonian scheme
• Two-loop corrections to Light-by-Light scattering in Supersymmetric QED
• Next-to-next-to-leading order post-Newtonian spin-orbit Hamiltonian for self-gravitating binaries
• NNNLO gravitational quadratic-in-spin interactions at the quartic order in G
• A prescription for projectors to compute helicity amplitudes in D dimensions
• NLO gravitational quartic-in-spin interaction
• EFTofPNG: A package for high precision computation with the Effective Field Theory of Post-Newtonian Gravity
• Comparing space+time decompositions in the post-Newtonian limit
• Einstein's action and the harmonic gauge in terms of Newtonian fields
• Classical 3-loop 2-body diagrams

Cited by in corpus (28)

• Conservative Dynamics of Binary Systems at Fourth Post-Minkowskian Order in the Large-eccentricity Expansion
• Radiation-Reaction in the Effective Field Theory Approach to Post-Minkowskian Dynamics
• Compton Black-Hole Scattering for $s\le 5/2$
• Conservative and radiative dynamics of spinning bodies at third post-Minkowskian order using worldline quantum field theory
• Binary Dynamics Through the Fifth Power of Spin at $\mathcal{O}(G^2)$
• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Gravitational radiation from inspiralling compact objects: Spin-spin effects completed at the next-to-leading post-Newtonian order
• Linear Response, Hamiltonian and Radiative Spinning Two-Body Dynamics
• NNNLO gravitational quadratic-in-spin interactions at the quartic order in G
• Scalar QED as a toy model for higher-order effects in classical gravitational scattering
• Gravitational Spin-Orbit Hamiltonian at NNNLO in the post-Newtonian framework
• 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
• Gravitational Quadratic-in-Spin Hamiltonian at NNNLO in the post-Newtonian framework
• Quadratic-in-spin interactions at fifth post-Newtonian order probe new physics
• Post-Newtonian Waveforms from Spinning Scattering Amplitudes
• 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
• Radiative Classical Gravitational Observables at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Spin supplementary condition in quantum field theory: covariant SSC and physical state projection
• Detweiler's redshift invariant for extended bodies orbiting a Schwarzschild black hole
• Charged test-particle scattering and effective one-body metrics with spin
• 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
• Waveforms from Amplitudes
• Binary dynamics from Einstein-Maxwell theory at second post-Newtonian order using effective field theory