Renormalizing Love: tidal effects at the third post-Newtonian order

Abstract

We present the conservative effective two-body Hamiltonian at the third order in the post-Newtonian expansion with gravitoelectric quadrupolar dynamical tidal-interactions. Our derivation of the effective two-body Lagrangian is based on the diagrammatic effective field theory approach and it involves Feynman integrals up to three loops, which are evaluated within the dimensional regularization scheme. The elimination of the divergent terms occurring in the effective Lagrangian requires the addition of counterterms to ensure finite observables, thereby introducing a renormalization group flow to the post-adiabatic Love number. As a limiting case of the renormalized dynamical effective Hamiltonian, we also derive the effective Hamiltonian for adiabatic tides, and, in this regime, calculate the binding energy for a circular orbit, and the scattering angle in a hyperbolic scattering.

arXiv comment27 pages, 3 figures, 1 table; matches the published version. arXiv admin note: text overlap with arXiv:2304.02030

References in corpus (89)

• Advanced LIGO
• 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
• 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
• 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
• Improving the NRTidal model for binary neutron star systems
• Dimensional regularization of the third post-Newtonian dynamics of point particles in harmonic coordinates
• Gravitational radiative corrections from effective field theory
• Black hole stereotyping: Induced gravito-static polarization
• 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
• Tidal Deformation and Dissipation of Rotating Black Holes
• Evanescent Operators, Scheme Dependences and Double Insertions
• Gravitational-wave tails of tails
• Anisotropic stars as ultracompact objects in General Relativity
• Conservative dynamics of binary systems to fourth Post-Newtonian order in the EFT approach II: Renormalized Lagrangian
• 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
• Conservative Tidal Effects in Compact Binary Systems to Next-to-Leading Post-Minkowskian Order
• On the Vanishing of Love Numbers for Kerr Black Holes
• Static response and Love numbers of Schwarzschild black holes
• Effective field theory calculation of conservative binary dynamics at third post-Newtonian 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
• Renormalization Group Flows for Brane Couplings
• Equivalence of ADM Hamiltonian and Effective Field Theory approaches at next-to-next-to-leading order spin1-spin2 coupling of binary inspirals
• Ladder Symmetries of Black Holes: Implications for Love Numbers and No-Hair Theorems
• Classical Effective Field Theory and Caged Black Holes
• Effective-one-body multipolar waveform for tidally interacting binary neutron stars up to merger
• Gravitational scattering of two black holes at the fourth post-Newtonian approximation
• Fourth post-Newtonian Hamiltonian dynamics of two-body systems from an effective field theory approach
• Resonant Tidal Excitation of Oscillation Modes in Merging Binary Neutron Stars: Inertial-Gravity Modes
• Vanishing of black hole tidal Love numbers from scattering amplitudes
• Tidal effects in quantum field theory
• Spin effects on neutron star fundamental-mode dynamical tides: phenomenology and comparison to numerical simulations
• Frequency domain model of $f$-mode dynamic tides in gravitational waveforms from compact binary inspirals
• Scattering of tidally interacting bodies in post-Minkowskian gravity
• 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
• Non-linearities in the tidal Love numbers of black holes
• Comparison of post-Minkowskian and self-force expansions: Scattering in a scalar charge toy model
• Magnetic tidal Love numbers clarified
• Effective action and linear response of compact objects in Newtonian gravity
• 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
• Gravitomagnetic tidal effects in gravitational waves from neutron star binaries
• Gravitomagnetic Love tensor of a slowly rotating body: post-Newtonian theory
• 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
• Excitation of f-modes during mergers of spinning binary neutron star
• Relativistic effective action of dynamical gravitomagnetic tides for slowly rotating neutron stars
• Resonant tides in binary neutron star mergers: analytical-numerical relativity study
• Dynamical response to a stationary tidal field
• Are neutron stars crushed? Gravitomagnetic tidal fields as a mechanism for binary-induced collapse
• Dynamical Love for area quantized black holes
• Addressing issues in defining the Love numbers for black holes
• Exact solution for a quantum field with $\delta$-like interaction
• Impact of updated Multipole Love numbers and f-Love Universal Relations in the context of Binary Neutron Stars
• Beyond the linear tide: impact of the non-linear tidal response of neutron stars on gravitational waveforms from binary inspirals
• Gravitoelectric dynamical tides at second post-Newtonian order
• Quantum Love
• Classical 3-loop 2-body diagrams
• Tidal driving of inertial modes of Maclaurin spheroids

Cited by in corpus (11)

• Hamiltonian formulation of general relativity and post-Newtonian dynamics of compact binaries
• Running Love Numbers and the Effective Field Theory of Gravity
• Rotating black holes experience dynamical tides
• Cost of inferred nuclear parameters towards the f-mode dynamical tide in binary neutron stars
• Radiating Love: adiabatic tidal fluxes and modes up to next-to-next-to-leading post-Newtonian order
• Tidal contributions to the full gravitational waveform to the second-and-a-half post-Newtonian order
• Modeling matter(s) in SEOBNRv5THM: Generating fast and accurate effective-one-body waveforms for spin-aligned binary neutron stars
• Dynamical Tidal Response of Non-rotating Black Holes: Connecting the MST Formalism and Worldline EFT
• Dynamical Love Numbers for Black Holes and Beyond from Shell Effective Field Theory
• High-order effective-one-body tidal interactions and gravitational scattering
• On the logarithmic Love number of black holes beyond general relativity