Spin Effects in the Effective Field Theory Approach to Post-Minkowskian Conservative Dynamics

Abstract

Building upon the worldline effective field theory (EFT) formalism for spinning bodies developed for the Post-Newtonian regime, we generalize the EFT approach to Post-Minkowskian (PM) dynamics to include rotational degrees of freedom in a manifestly covariant framework. We introduce a systematic procedure to compute the total change in momentum and spin in the gravitational scattering of compact objects. For the special case of spins aligned with the orbital angular momentum, we show how to construct the radial action for elliptic-like orbits using the Boundary-to-Bound correspondence. As a paradigmatic example, we solve the scattering problem to next-to-leading PM order with linear and bilinear spin effects and arbitrary initial conditions, incorporating for the first time finite-size corrections. We obtain the aligned-spin radial action from the resulting scattering data, and derive the periastron advance and binding energy for circular orbits. We also provide the (square of the) center-of-mass momentum to $\mathcal{O}(G^2)$, which may be used to reconstruct a Hamiltonian. Our results are in perfect agreement with the existent literature, while at the same time extend the knowledge of the PM dynamics of compact binaries at quadratic order in spins.

arXiv comment41 pages. 1 ancillary file (wl format). v2: Typos fixed, ancillary file unaltered. Published version

References in corpus (119)

• Relativistic tidal properties of neutron stars
• Coalescing binary systems of compact objects to (post)$^{5/2}-Newtonian order. V. Spin Effects
• Relativistic theory of tidal Love numbers
• An Effective Field Theory of Gravity for Extended Objects
• Exploring the String Axiverse with Precision Black Hole Physics
• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• Amplitudes, Observables, and Classical Scattering
• Black Hole Binary Dynamics from the Double Copy and Effective Theory
• The Effective Field Theorist's Approach to Gravitational Dynamics
• From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
• Post-Newtonian corrections to the motion of spinning bodies in NRGR
• Lectures on differential equations for Feynman integrals
• General Relativity from Scattering Amplitudes
• Scattering of Spinning Black Holes from Exponentiated Soft Factors
• Probing Ultralight Bosons with Binary Black Holes
• Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems
• Higher-order spin effects in the dynamics of compact binaries I. Equations of motion
• Post-Minkowskian Effective Field Theory for Conservative Binary Dynamics
• Conservative Dynamics of Binary Systems to Third Post-Minkowskian Order from the Effective Field Theory Approach
• Classical Space-Times from the S Matrix
• Black Hole Mergers and the QCD Axion at Advanced LIGO
• Classical black hole scattering from a worldline quantum field theory
• Scattering Amplitudes and Conservative Binary Dynamics at $\mathcal{O}(G^4)$
• From Boundary Data to Bound States
• Dimensional regularization of the third post-Newtonian dynamics of point particles in harmonic coordinates
• Stochastic and resolvable gravitational waves from ultralight bosons
• Observables and amplitudes for spinning particles and black holes
• Scattering of two spinning black holes in post-Minkowskian gravity, to all orders in spin, and effective-one-body mappings
• The simplest massive S-matrix: from minimal coupling to Black Holes
• Black-hole scattering with general spin directions from minimal-coupling amplitudes
• A Highly Spinning and Aligned Binary Black Hole Merger in the Advanced LIGO First Observing Run
• On-shell Techniques and Universal Results in Quantum Gravity
• Next to Leading Order Spin(1)Spin(1) Effects in the Motion of Inspiralling Compact Binaries
• Gravitational radiative corrections from effective field theory
• Kerr Black Holes as Elementary Particles
• Classical Gravitational Bremsstrahlung from a Worldline Quantum Field Theory
• Spin(1)Spin(2) Effects in the Motion of Inspiralling Compact Binaries at Third Order in the Post-Newtonian Expansion
• Dissipative Effects in the Worldline Approach to Black Hole Dynamics
• On Post-Minkowskian Hamiltonians in General Relativity
• On-shell heavy particle effective theories
• From Boundary Data to Bound States II: Scattering Angle to Dynamical Invariants (with Twist)
• Extremal black hole scattering at O(G^3): graviton dominance, eikonal exponentiation, and differential equations
• Quadratic-in-spin effects in the orbital dynamics and gravitational-wave energy flux of compact binaries at the 3PN order
• Holomorphic Classical Limit for Spin Effects in Gravitational and Electromagnetic Scattering
• The Hyperfine Einstein-Infeld-Hoffmann Potential
• Energetics of two-body Hamiltonians in post-Minkowskian gravity
• Next-to-next-to-leading order spin-orbit effects in the gravitational wave flux and orbital phasing of compact binaries
• Gravitational Bremsstrahlung from Reverse Unitarity
• Revisiting the 2PM eikonal and the dynamics of binary black holes
• Gravitational field and equations of motion of spinning compact binaries to 2.5 post-Newtonian order
• The First Law of Binary Black Hole Mechanics in General Relativity and Post-Newtonian Theory
• Next to leading order spin-orbit effects in the motion of inspiralling compact binaries
• Spinning-black-hole scattering and the test-black-hole limit at second post-Minkowskian order
• Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach II: Renormalized Lagrangian
• Gravitational spin Hamiltonians from the S matrix
• Heavy Black Hole Effective Theory
• Measuring the spin of black holes in binary systems using gravitational waves
• Double copy for massive quantum particles with spin
• Effective field theory approach to the gravitational two-body dynamics, at fourth post-Newtonian order and quintic in the Newton constant
• The tail effect in gravitational radiation-reaction: time non-locality and renormalization group evolution
• Sixth post-Newtonian local-in-time dynamics of binary systems
• Tidal Love Numbers of Kerr Black Holes
• Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach I: Regularized Lagrangian
• Conservative Tidal Effects in Compact Binary Systems to Next-to-Leading Post-Minkowskian Order
• Gravitational Collider Physics
• On the Vanishing of Love Numbers for Kerr Black Holes
• The Tune of Love and the Nature(ness) of Spacetime
• Static response and Love numbers of Schwarzschild black holes
• Effective field theory calculation of conservative binary dynamics at third post-Newtonian order
• Effective field theory methods to model compact binaries
• Absorption Effects due to Spin in the Worldline Approach to Black Hole Dynamics
• Ambiguity-Free Completion of the Equations of Motion of Compact Binary Systems at the Fourth Post-Newtonian Order
• Tidal Effects in the Post-Minkowskian Expansion
• Universality in the classical limit of massless gravitational scattering
• Sixth post-Newtonian nonlocal-in-time dynamics of binary systems
• Static two-body potential at fifth post-Newtonian order
• Classical Gravitational Scattering at $\mathcal{O}(G^3)$ from Feynman Diagrams
• Spin-squared Hamiltonian of next-to-leading order gravitational interaction
• Post-Minkowskian Scattering Angle in Einstein Gravity
• Complete Hamiltonian for spinning binary systems at first post-Minkowskian order
• The dynamics of the gravitational two-body problem at fourth post-Newtonian order and at quadratic order in the Newton constant
• The next-to-leading order gravitational spin(1)-spin(2) dynamics in Hamiltonian form
• Second-order Post-Minkowskian scattering in arbitrary dimensions
• Eikonal phase matrix, deflection angle and time delay in effective field theories of gravity
• Spin induced multipole moments for the gravitational wave amplitude from binary inspirals to 2.5 Post-Newtonian order
• Five-Loop Static Contribution to the Gravitational Interaction Potential of Two Point Masses
• Spin induced multipole moments for the gravitational wave flux from binary inspirals to third Post-Newtonian order
• Classical potential for general spinning bodies
• Testing binary dynamics in gravity at the sixth post-Newtonian level
• A worldsheet for Kerr
• Constraints on ultralight scalar bosons within black hole spin measurements from LIGO-Virgo's GWTC-2
• On the Apparent Ambiguities in the Post-Newtonian Expansion for Binary Systems
• The fifth-order post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach: potential contributions
• A tale of two exponentiations in $\mathcal{N}=8$ supergravity
• Next-to-next-to-leading order gravitational spin-orbit coupling via the effective field theory for spinning objects in the post-Newtonian scheme
• Tidal effects in quantum field theory
• Equations of Motion for Spinning Particles in External\\Electromagnetic and Gravitational Fields
• Integrability of Black Hole Orbits in Maximal Supergravity
• Mining the Geodesic Equation for Scattering Data
• Gravitational spin-orbit coupling through third-subleading post-Newtonian order: from first-order self-force to arbitrary mass ratios
• On higher-derivative effects on the gravitational potential and particle bending
• Radiation reaction for spinning bodies in effective field theory II: Spin-spin effects
• First Law of Mechanics for Black Hole Binaries with Spins
• Radiation reaction for spinning bodies in effective field theory I: Spin-orbit effects
• Hereditary Terms at Next-To-Leading Order in Two-Body Gravitational Dynamics
• Gravitational spin-orbit and aligned spin${}_1$-spin${}_2$ couplings through third-subleading post-Newtonian orders
• The 6th Post-Newtonian Potential Terms at $O(G_N^4)$
• Searching for ultralight bosons within spin measurements of a population of binary black hole mergers
• Tidal effects for spinning particles
• Logarithmic tail contributions to the energy function of circular compact binaries
• Multiband gravitational-wave searches for ultralight bosons
• Non-precessional spin-orbit effects on gravitational waves from inspiraling compact binaries to second post-Newtonian order
• Second post-Newtonian order radiative dynamics of inspiralling compact binaries in the Effective Field Theory approach
• Gravitational self-force in the ultra-relativistic limit: The 'large-N' expansion
• Aligned Spins: Orbital Elements, Decaying Orbits, and Last Stable Circular Orbit to high post-Newtonian Orders
• New results at 3PN via an effective field theory of gravity
• Next-to-leading order spin-orbit effects in the equations of motion, energy loss and phase evolution of binaries of compact bodies in the effective field theory approach
• Gravitational waveforms for high spin and high mass-ratio binary black holes: A synergistic use of numerical-relativity codes
• Analytic Solutions to Compact Binary Inspirals With Leading Order Spin-Orbit Contribution Using The Dynamical Renormalization Group

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• Quadratic-in-Spin Hamiltonian at $\mathcal{O}(G^2)$ from Scattering Amplitudes
• Radiation-Reaction in the Effective Field Theory Approach to Post-Minkowskian Dynamics
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• 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 $\mathcal{O}(G^2)$
• The Science of the Einstein Telescope
• Classical gravitational spinning-spinless scattering at $\mathcal{O}(G^2{S}^{\infty })$
• The 2PM Hamiltonian for binary Kerr to quartic in spin
• Conservative Binary Dynamics with a Spinning Black Hole at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Inelastic Exponentiation and Classical Gravitational Scattering at One Loop
• Gravitational radiation from inspiralling compact objects: Spin effects to fourth Post-Newtonian order
• Classical observables from coherent-spin amplitudes
• Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
• Resummed spinning waveforms from five-point amplitudes
• Linear Response, Hamiltonian and Radiative Spinning Two-Body Dynamics
• Gravitational bremsstrahlung from spinning binaries in the post-Minkowskian expansion
• From Boundary Data to Bound States III: Radiative Effects
• Scattering Angles in Kerr Metrics
• Gravitational Bremsstrahlung with tidal effects in the post-Minkowskian expansion
• Scalar QED as a toy model for higher-order effects in classical gravitational scattering
• Classical Spin Gravitational Compton Scattering
• Classical Limit of Higher-Spin String Amplitudes
• Gravitational Faraday effect from on-shell amplitudes
• Spinning waveforms from KMOC at leading order
• Gravitational Spin-Orbit Hamiltonian at NNNLO in the post-Newtonian framework
• Recursion in the classical limit and the neutron-star Compton amplitude
• N${}^3$LO Quadratic-in-Spin Interactions for Generic Compact Binaries
• Self-force correction to the deflection angle in black-hole scattering: a scalar charge toy model
• Gravitational Quadratic-in-Spin Hamiltonian at NNNLO in the post-Newtonian framework
• Bethe-Salpeter equation for classical gravitational bound states
• Classical gravitational scattering at $\mathcal{O}(G^2{S}_1^{\infty }{S}_2^{\infty })$
• Angular Momentum Loss Due to Tidal Effects in the Post-Minkowskian Expansion
• Boundary to bound dictionary for generic Kerr orbits
• Observables from the Spinning Eikonal
• Scattering and bound observables for spinning particles in Kerr spacetime with generic spin orientations
• First Look at Quartic-in-Spin Binary Dynamics at Third Post-Minkowskian Order
• Spinning Black Hole Scattering at $\mathcal{O}(G^3{S}^2)$: Casimir Terms, Radial Action and Hidden Symmetry
• Frequency-domain approach to self-force in hyperbolic scattering
• Scattering Amplitudes and N-Body Post-Minkowskian Hamiltonians in General Relativity and Beyond
• Radiative Classical Gravitational Observables at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Effect of Particle Spin on Trajectory Deflection and Gravitational Lensing
• Spin supplementary condition in quantum field theory: covariant SSC and physical state projection
• Third post-Newtonian gravitational radiation from two-body scattering II. Hereditary Energy radiation
• Charged test-particle scattering and effective one-body metrics with spin
• The spinning self-force EFT: 1SF waveform recursion relation and Compton scattering
• Dirac brackets for classical radiative observables
• Gravitational spin-orbit dynamics at the fifth-and-a-half post-Newtonian order
• Next-to-eikonal corrected double graviton dressing and gravitational wave observables at $\mathcal{O}(G^2)$
• Waveforms from Amplitudes
• Spinning waveforms of scalar radiation in quadratic modified gravity
• Classical Observables using Exponentiated Spin factors: Electromagnetic Scattering
• Machine Learning Post-Minkowskian Integrals
• On the classical limit of the (sub)${}^n$-leading soft graviton theorems in $D=4$ without deflection
• 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
• On-shell approach to scalar hair in spinning binaries
• The Radial Action from Probe Amplitudes to All Orders
• Double soft graviton factors from the gravitational Wilson line
• Yang-Mills observables: from KMOC to eikonal through EFT
• Exploring gravitational impulse via quantum Boltzmann equation
• Unexpected Symmetries of Kerr Black Hole Scattering
• Effective-one-body formalism for leading-order radiative effects in the post-linear framework
• Energetics and scattering of gravitational two-body systems at fourth post-Minkowskian order
• Gravitational multipoles from scattering amplitudes in higher dimensions