Gravitoelectric dynamical tides at second post-Newtonian order
arXiv:2304.02030 · doi:10.1007/JHEP11(2023)067
Abstract
We present a gravitoelectric quadrupolar dynamical tidal-interaction Hamiltonian for a compact binary system, that is valid to second order in the post-Newtonian expansion. Our derivation uses the diagrammatic effective field theory approach, and involves Feynman integrals up to two loops, evaluated with the dimensional regularization scheme. We also derive the effective Hamiltonian for adiabatic tides, obtained by taking the appropriate limit of the dynamical effective Hamiltonian, and we check its validity by verifying the complete Poincaré algebra. In the adiabatic limit, we also calculate two gauge-invariant observables, namely, the binding energy for a circular orbit and the scattering angle in a hyperbolic scattering. Our results are important for developing accurate gravitational waveform models for neutron-star binaries for present and future gravitational-wave observatories.
arXiv comment20 pages, 2 figures, 1 table; matches the published version
References in corpus (68)
- Quasi-Normal Modes of Stars and Black Holes
- Tidal Love numbers of neutron stars
- Effective one-body approach to general relativistic two-body dynamics
- Constraining neutron star tidal Love numbers with gravitational wave detectors
- Asymptotic expansion of Feynman integrals near threshold
- Relativistic tidal properties of neutron stars
- Transition from inspiral to plunge in binary black hole coalescences
- Relativistic theory of tidal Love numbers
- An Effective Field Theory of Gravity for Extended Objects
- LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals
- Towards gravitational-wave asteroseismology
- The Effective Field Theorist's Approach to Gravitational Dynamics
- Post-1-Newtonian tidal effects in the gravitational waveform from binary inspirals
- Effects of neutron-star dynamic tides on gravitational waveforms within the effective-one-body approach
- Effective One Body description of tidal effects in inspiralling compact binaries
- Post-Minkowskian Effective Field Theory for Conservative Binary Dynamics
- Dynamical Tides in General Relativity: Effective Action and Effective-One-Body Hamiltonian
- Neutron star tidal deformability and equation of state constraints
- Effective Field Theories of Post-Newtonian Gravity: A comprehensive review
- Classical black hole scattering from a worldline quantum field theory
- Resonant Oscillations and Tidal Heating in Coalescing Binary Neutron Stars
- Spinning gravitating objects in the effective field theory in the post-Newtonian scheme
- Tidal effects in binary neutron star coalescence
- Effective action approach to higher-order relativistic tidal interactions in binary systems and their effective one body description
- Resonant Tidal Excitations of Rotating Neutron Stars in Coalescing Binaries
- Effective field theory approach to the gravitational two-body dynamics, at fourth post-Newtonian order and quintic in the Newton constant
- TIDAL AND TIDAL-RESONANT EFFECTS IN COALESCING BINARIES
- Conservative Tidal Effects in Compact Binary Systems to Next-to-Leading Post-Minkowskian Order
- Accurate numerical simulations of inspiralling binary neutron stars and their comparison with effective-one-body analytical models
- Nonlinear Tides in Close Binary Systems
- Tidal Effects in the Post-Minkowskian Expansion
- Non-Relativistic Gravitation: From Newton to Einstein and Back
- First-post-Newtonian quadrupole tidal interactions in binary systems
- Leading Nonlinear Tidal Effects and Scattering Amplitudes
- Gravitational self-force corrections to two-body tidal interactions and the effective one-body formalism
- On the oscillation spectra of ultracompact stars: An extensive survey of gravitational-wave modes
- Classical Effective Field Theory and Caged Black Holes
- Resonant Tidal Excitation of Oscillation Modes in Merging Binary Neutron Stars: Inertial-Gravity Modes
- Resonant Tidal Excitations of Inertial Modes in Coalescing Neutron Star Binaries
- Tidal effects in quantum field theory
- Spin effects on neutron star fundamental-mode dynamical tides: phenomenology and comparison to numerical simulations
- Scattering of tidally interacting bodies in post-Minkowskian gravity
- Frequency domain model of -mode dynamic tides in gravitational waveforms from compact binary inspirals
- Mining the Geodesic Equation for Scattering Data
- Post-Newtonian spin-tidal couplings for compact binaries
- Gravitomagnetic response of an irrotational body to an applied tidal field
- Impact of Dynamical Tides on the Reconstruction of the Neutron Star Equation of State
- An instability due to the nonlinear coupling of p-modes to g-modes: Implications for coalescing neutron star binaries
- Tidal effects in the equations of motion of compact binary systems to next-to-next-to-leading post-Newtonian order
- Gravitomagnetic tidal resonance in neutron-star binary inspirals
- Gravitational Bremsstrahlung with tidal effects in the post-Minkowskian expansion
- Magnetic tidal Love numbers clarified
- 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
- I-Love-Q Relations: From Compact Stars to Black Holes
- Gravitomagnetic tidal effects in gravitational waves from neutron star binaries
- Gravitomagnetic Love tensor of a slowly rotating body: post-Newtonian theory
- Excitation of f-modes during mergers of spinning binary neutron star
- Gravitational Quadratic-in-Spin Hamiltonian at NNNLO in the post-Newtonian framework
- Impact of the tidal p-g instability on the gravitational wave signal from coalescing binary neutron stars
- Relativistic effective action of dynamical gravitomagnetic tides for slowly rotating neutron stars
- Dynamical response to a stationary tidal field
- Are neutron stars crushed? Gravitomagnetic tidal fields as a mechanism for binary-induced collapse
- Beyond the linear tide: impact of the non-linear tidal response of neutron stars on gravitational waveforms from binary inspirals
- Impact of updated Multipole Love numbers and f-Love Universal Relations in the context of Binary Neutron Stars
- Classical 3-loop 2-body diagrams
- Tidal driving of inertial modes of Maclaurin spheroids
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- General relativistic dynamical tides in binary inspirals, without modes
- Renormalizing Love: tidal effects at the third post-Newtonian order
- Dynamical tides during the inspiral of rapidly spinning neutron stars: Solutions beyond mode resonance
- Radiating Love: adiabatic tidal fluxes and modes up to next-to-next-to-leading post-Newtonian order
- Cost of inferred nuclear parameters towards the f-mode dynamical tide in binary neutron stars
- Modeling matter(s) in SEOBNRv5THM: Generating fast and accurate effective-one-body waveforms for spin-aligned binary neutron stars
- Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory