Tidal Effects in the Post-Minkowskian Expansion

Abstract

Tools from scattering amplitudes and effective field theory have recently been repurposed to derive state-of-the-art results for the black hole binary inspiral in the post-Minkowskian expansion. In the present work we extend this approach to include the tidal effects of mass and current quadrupoles on the conservative dynamics of non-spinning neutron star mergers. We compute the leading and, for the first time, next-to-leading order post-Minkowskian finite size corrections to the conservative Hamiltonian, together with their associated scattering amplitudes and scattering angles. Our expressions are gauge invariant and, in the extreme mass ratio limit, consistent with the dynamics of a tidally deformed test body in a Schwarzschild background. Furthermore, they agree completely with existing results at leading post-Minkowskian and second post-Newtonian orders.

arXiv comment5 pages + references, 1 figure, 1 ancillary file

References in corpus (139)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• GW190425: Observation of a Compact Binary Coalescence with Total Mass $\sim 3.4M_{\odot }$
• Gravitational Waves from Mergin Compact Binaries: How Accurately Can One Extract the Binary's Parameters from the Inspiral Waveform?
• Evolution of Binary Black Hole Spacetimes
• Accurate Evolutions of Orbiting Black-Hole Binaries Without Excision
• Tidal Love numbers of neutron stars
• One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits
• Effective one-body approach to general relativistic two-body dynamics
• General relativity as an effective field theory: The leading quantum corrections
• Gravitational wave extraction from an inspiraling configuration of merging black holes
• Constraining neutron star tidal Love numbers with gravitational wave detectors
• Science Case for the Einstein Telescope
• New Relations for Gauge-Theory Amplitudes
• Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes
• Tidal deformability of neutron stars with realistic equations of state and their gravitational wave signatures in binary inspiral
• Perturbative Quantum Gravity as a Double Copy of Gauge Theory
• New Developments in FeynCalc 9.0
• Relativistic tidal properties of neutron stars
• Transition from inspiral to plunge in binary black hole coalescences
• Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills
• Relativistic theory of tidal Love numbers
• An Effective Field Theory of Gravity for Extended Objects
• FeynCalc 9.3: New features and improvements
• Leading Quantum Correction to the Newtonian Potential
• Gravitational Radiation Reaction to a Particle Motion
• Scattering Amplitudes and the Conservative Hamiltonian for Binary Systems at Third Post-Minkowskian Order
• The Last Three Minutes: Issues in Gravitational Wave Measurements of Coalescing Compact Binaries
• An axiomatic approach to electromagnetic and gravitational radiation reaction of particles in curved spacetime
• One-Loop Amplitudes for e^+ e^- to Four Partons
• Measurability of the tidal polarizability of neutron stars in late-inspiral gravitational-wave signals
• Amplitudes, Observables, and Classical Scattering
• Black Hole Binary Dynamics from the Double Copy and Effective Theory
• From Scattering Amplitudes to Classical Potentials in the Post-Minkowskian Expansion
• Multi-Leg One-Loop Gravity Amplitudes from Gauge Theory
• Quantum Gravitational Corrections to the Nonrelativistic Scattering Potential of Two Masses
• Accurate evolutions of inspiralling neutron-star binaries: prompt and delayed collapse to black hole
• Measuring the neutron star equation of state with gravitational wave observations
• Systematic parameter errors in inspiraling neutron star binaries
• Gravitational scattering, post-Minkowskian approximation and Effective One-Body theory
• Post-1-Newtonian tidal effects in the gravitational waveform from binary inspirals
• High-energy gravitational scattering and the general relativistic two-body problem
• Dimensional regularization of the gravitational interaction of point masses
• General Relativity from Scattering Amplitudes
• Scattering of Spinning Black Holes from Exponentiated Soft Factors
• Nonlocal-in-time action for the fourth post-Newtonian conservative dynamics of two-body systems
• Effective One Body description of tidal effects in inspiralling compact binaries
• Dynamical Tides in General Relativity: Effective Action and Effective-One-Body Hamiltonian
• 3rd post-Newtonian higher order Hamilton dynamics for two-body point-mass systems
• Classical Space-Times from the S Matrix
• Systematic and statistical errors in a bayesian approach to the estimation of the neutron-star equation of state using advanced gravitational wave detectors
• Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
• Radiation and the classical double copy for color charges
• Modeling the dynamics of tidally-interacting binary neutron stars up to merger
• From Boundary Data to Bound States
• 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
• Reconstructing the neutron-star equation of state with gravitational-wave detectors from a realistic population of inspiralling binary neutron stars
• Black-hole scattering with general spin directions from minimal-coupling amplitudes
• Classical and quantum scattering in post-Minkowskian gravity
• On-shell Techniques and Universal Results in Quantum Gravity
• Kerr Black Holes as Elementary Particles
• The double copy: Bremsstrahlung and accelerating black holes
• 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)
• Effective action approach to higher-order relativistic tidal interactions in binary systems and their effective one body description
• Tidal effects in binary neutron star coalescence
• Holomorphic Classical Limit for Spin Effects in Gravitational and Electromagnetic Scattering
• Energetics of two-body Hamiltonians in post-Minkowskian gravity
• Dynamical invariants for general relativistic two-body systems at the third post-Newtonian approximation
• Revisiting the 2PM eikonal and the dynamics of binary black holes
• Fully general relativistic simulation of coalescing binary neutron stars: Preparatory tests
• Spinning-black-hole scattering and the test-black-hole limit at second post-Minkowskian order
• Extracting equation of state parameters from black hole-neutron star mergers. I. Nonspinning black holes
• Novel approach to binary dynamics: application to the fifth post-Newtonian level
• Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach II: Renormalized Lagrangian
• Fokker action of non-spinning compact binaries at the fourth post-Newtonian approximation
• Gravitational spin Hamiltonians from the S matrix
• Classical and Quantum Results on Logarithmic Terms in the Soft Theorem in Four Dimensions
• Heavy Black Hole Effective Theory
• Classical gluon and graviton radiation from the bi-adjoint scalar double copy
• Effective field theory approach to the gravitational two-body dynamics, at fourth post-Newtonian order and quintic in the Newton constant
• Gravitational Radiation from Color-Kinematics Duality
• Analytic modelling of tidal effects in the relativistic inspiral of binary neutron stars
• The Duality Between Color and Kinematics and its Applications
• 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
• Effective field theory calculation of second post-Newtonian binary dynamics
• Will black hole-neutron star binary inspirals tell us about the neutron star equation of state?
• Spinning particles, axion radiation, and the classical double copy
• Accurate numerical simulations of inspiralling binary neutron stars and their comparison with effective-one-body analytical models
• Energy and periastron advance of compact binaries on circular orbits at the fourth post-Newtonian order
• Ambiguity-Free Completion of the Equations of Motion of Compact Binary Systems at the Fourth Post-Newtonian Order
• Universality in the classical limit of massless gravitational scattering
• Static two-body potential at fifth post-Newtonian order
• Classical Gravitational Scattering at $\mathcal{O}(G^3)$ from Feynman Diagrams
• Bound states and the classical double copy
• Post-Minkowskian Scattering Angle in Einstein Gravity
• Relativistic Closed-Form Hamiltonian for Many-Body Gravitating Systems in the Post-Minkowskian Approximation
• Complete Hamiltonian for spinning binary systems at first post-Minkowskian order
• First-post-Newtonian quadrupole tidal interactions in binary systems
• Second-order Post-Minkowskian scattering in arbitrary dimensions
• Gravitational self-force corrections to two-body tidal interactions and the effective one-body formalism
• Scattering Amplitudes For All Masses and Spins
• Five-Loop Static Contribution to the Gravitational Interaction Potential of Two Point Masses
• Derivation of local-in-time fourth post-Newtonian ADM Hamiltonian for spinless compact binaries
• Testing binary dynamics in gravity at the sixth post-Newtonian level
• Classical potential for general spinning bodies
• Effective action of dilaton gravity as the classical double copy of Yang-Mills theory
• Center-of-Mass Equations of Motion and Conserved Integrals of Compact Binary Systems at the Fourth Post-Newtonian Order
• Gravitational scattering of two black holes at the fourth post-Newtonian approximation
• On the Apparent Ambiguities in the Post-Newtonian Expansion for Binary Systems
• Love can be Tough to Measure
• Fourth post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach
• Analytical high-order post-Newtonian expansions for extreme mass ratio binaries
• Infrared features of gravitational scattering and radiation in the eikonal approach
• Observational Signature of the Logarithmic Terms in the Soft Graviton Theorem
• Tidal effects in the gravitational-wave phase evolution of compact binary systems to next-to-next-to-leading post-Newtonian order
• A tale of two exponentiations in $\mathcal{N}=8$ supergravity at subleading level
• Dimensional regularization of the IR divergences in the Fokker action of point-particle binaries at the fourth post-Newtonian order
• Integrability of Black Hole Orbits in Maximal Supergravity
• Scattering of tidally interacting bodies in post-Minkowskian gravity
• On the Ambiguity in Relativistic Tidal Deformability
• Approximate Universal Relations among Tidal Parameters for Neutron Star Binaries
• Twofold Symmetries of the Pure Gravity Action
• Gravitational radiation from the classical spinning double copy
• Waveform systematics for binary neutron star gravitational wave signals: effects of the point-particle baseline and tidal descriptions
• Dimensionally Dependent Tensor Identities by Double Antisymmetrisation
• The double copy for heavy particles
• Tidal effects in the equations of motion of compact binary systems to next-to-next-to-leading post-Newtonian order
• Hidden Simplicity of the Gravity Action
• Gravitomagnetic tidal resonance in neutron-star binary inspirals
• From Scattering Amplitudes to Classical Physics: Universality, Double Copy and Soft Theorems
• The Radiative Double Copy for Einstein-Yang-Mills Theory
• Four-graviton scattering to three loops in $\mathcal{N}=8$ supergravity
• The Two-Loop Four-Graviton Scattering Amplitudes
• Octupolar invariants for compact binaries on quasi-circular orbits

Cited by in corpus (76)

• Conservative Dynamics of Binary Systems to Third Post-Minkowskian Order from the Effective Field Theory Approach
• Classical black hole scattering from a worldline quantum field theory
• Scattering Amplitudes and Conservative Binary Dynamics at $\mathcal{O}(G^4)$
• Scattering Amplitudes, the Tail Effect, and Conservative Binary Dynamics at $O(G^4)$
• Classical Gravitational Bremsstrahlung from a Worldline Quantum Field Theory
• Dynamics of Binary Systems to Fourth Post-Minkowskian Order from the Effective Field Theory Approach
• Conservative Dynamics of Binary Systems at Fourth Post-Minkowskian Order in the Large-eccentricity Expansion
• Gravitational Bremsstrahlung from Reverse Unitarity
• Gravitational Bremsstrahlung and Hidden Supersymmetry of Spinning Bodies
• Conservative Tidal Effects in Compact Binary Systems to Next-to-Leading Post-Minkowskian Order
• Gravitational Bremsstrahlung in the Post-Minkowskian Effective Field Theory
• Spin Effects in the Effective Field Theory Approach to Post-Minkowskian Conservative Dynamics
• Static response and Love numbers of Schwarzschild black holes
• SUSY in the Sky with Gravitons
• Hamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries
• Quadratic-in-Spin Hamiltonian at $\mathcal{O}(G^2)$ from Scattering Amplitudes
• Leading Nonlinear Tidal Effects and Scattering Amplitudes
• Radiation-Reaction in the Effective Field Theory Approach to Post-Minkowskian Dynamics
• 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 $\mathcal{O}(G^2)$
• A worldsheet for Kerr
• From amplitudes to gravitational radiation with cubic interactions and tidal effects
• 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
• Vanishing of black hole tidal Love numbers from scattering amplitudes
• Love symmetry
• Tidal effects in quantum field theory
• Classical Solutions and their Double Copy in Split Signature
• Spin effects on neutron star fundamental-mode dynamical tides: phenomenology and comparison to numerical simulations
• Strong-field scattering of two black holes: Numerical Relativity meets Post-Minkowskian gravity
• Radiated momentum in the Post-Minkowskian worldline approach via reverse unitarity
• Mining the Geodesic Equation for Scattering Data
• 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
• Classical Yang-Mills observables from amplitudes
• Gravitational bremsstrahlung from spinning binaries in the post-Minkowskian expansion
• From Boundary Data to Bound States III: Radiative Effects
• Tidal effects for spinning particles
• Gravitational shock waves and scattering amplitudes
• Exponentiation of the leading eikonal with spin
• Gravitational Bremsstrahlung with tidal effects in the post-Minkowskian expansion
• Comparison of post-Minkowskian and self-force expansions: Scattering in a scalar charge toy model
• Scalar QED as a toy model for higher-order effects in classical gravitational scattering
• Classical vs Quantum Eikonal Scattering and its Causal Structure
• Recursion in the classical limit and the neutron-star Compton amplitude
• Amplitude bases in generic EFTs
• Relativistic effective action of dynamical gravitomagnetic tides for slowly rotating neutron stars
• Angular Momentum Loss Due to Tidal Effects in the Post-Minkowskian Expansion
• Renormalizing Love: tidal effects at the third post-Newtonian order
• Sudden breakdown of effective field theory near cool Kerr-Newman black holes
• New self-consistent effective one-body theory for spinless binaries based on the post-Minkowskian approximation
• A Rutherford-like formula for scattering off Kerr-Newman BHs and subleading corrections
• Observables from classical black hole scattering in Scalar-Tensor theory of gravity from worldline quantum field theory
• Self-consistent effective-one-body theory for spinning binaries based on post-Minkowskian approximation
• Hamiltonian for tidal interactions in compact binary systems to next-to-next-to-leading post-Newtonian order
• Gravitoelectric dynamical tides at second post-Newtonian order
• Radiative Classical Gravitational Observables at $\mathcal{O}(G^3)$ from Scattering Amplitudes
• Gravitational Dyonic Amplitude at One-Loop and its Inconsistency with the Classical Impulse
• Scattering Amplitudes and N-Body Post-Minkowskian Hamiltonians in General Relativity and Beyond
• Quantum corrections to tidal Love number for Schwarzschild black holes
• Tidal contributions to the full gravitational waveform to the second-and-a-half post-Newtonian order
• Perturbations of General Relativity to All Orders and the General $n^{\mathrm{th}}$ Order Terms
• Machine Learning Post-Minkowskian Integrals
• Fixing the non-relativistic expansion of the 1PM potential
• Energy flux and waveform of gravitational wave generated by coalescing slow-spinning binary system in effective one-body theory
• $S$-matrix approach to general gravity and beyond
• Gravitational scattering of two neutron stars
• Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory
• Loop corrections versus marginal deformation in celestial holography
• Yang-Mills observables: from KMOC to eikonal through EFT
• High-order effective-one-body tidal interactions and gravitational scattering
• Graviton Photoproduction by a Kerr-Newman Black Hole with Worldline EFT
• FeynGrav 4.0
• NS-NS Spacetimes from Amplitudes
• Energetics and scattering of gravitational two-body systems at fourth post-Minkowskian order