Factorization and resummation: A new paradigm to improve gravitational wave amplitudes. III: the spinning test-body terms

Abstract

We present new calculations of the energy flux of a spinning test-body on circular orbits around a Schwarzschild black hole at linear order in the particle spin. We compute the multipolar fluxes up to $\ell =m=6$ using two independent numerical solvers of theTeukolsky equation, one in the time domain and the other in the frequency domain. After linearization in the spin of the particle, we obtain an excellent agreement ($\sim 10^{-5}$) between the two numerical results.The calculation of the multipolar fluxes is also performed analytically (up to $\ell =7$) using the post-Newtonian (PN) expansion of the Teukolsky equation solution; each mode is obtained at 5.5PN order beyond the corresponding leading-order contribution. From the analytical fluxes we obtain the PN-expanded analytical waveform amplitudes. These quantities are then resummed using new procedures either based on the factorization of the orbital contribution (and resumming it independently from the spin-dependent factor) or on the factorization of the tail contribution solely for odd-parity multipoles. We compare these prescriptions and the resummation procedure proposed in Pan et al. [Phys. Rev. D 83 (2011) 064003] to the numerical data. We find that the new procedures significantly improve over the existing one that, notably, is inconsistent with the numerical data for $\ell +m=\text{odd}$ multipoles already at low orbital frequencies. Our study suggests that the approach to waveform resummation used in current effective-one-body-based waveform models should be modified to improve its robustness and accuracy all over the binary parameter space.

arXiv comment33 pages, 7 figures. Submitted to Phys. Rev. D

References in corpus (34)

• An improved effective-one-body model of spinning, nonprecessing binary black holes for the era of gravitational-wave astrophysics with advanced detectors
• Analytic black hole perturbation approach to gravitational radiation
• Improved filters for gravitational waves from inspiralling compact binaries
• Time-domain effective-one-body gravitational waveforms for coalescing compact binaries with nonprecessing spins, tides and self-spin effects
• Improved resummation of post-Newtonian multipolar waveforms from circularized compact binaries
• Enriching the Symphony of Gravitational Waves from Binary Black Holes by Tuning Higher Harmonics
• Analytic Solutions of the Teukolsky Equation and their Low Frequency Expansions
• Inspiral-merger-ringdown multipolar waveforms of nonspinning black-hole binaries using the effective-one-body formalism
• Faithful Effective-One-Body waveforms of small-mass-ratio coalescing black-hole binaries
• An improved analytical description of inspiralling and coalescing black-hole binaries
• An improved effective-one-body Hamiltonian for spinning black-hole binaries
• Hamiltonian of a spinning test-particle in curved spacetime
• Post-Newtonian factorized multipolar waveforms for spinning, non-precessing black-hole binaries
• Analytic Solutions of the Regge-Wheeler Equation and the Post-Minkowskian Expansion
• Gravitational waves from a spinning particle in circular orbits around a rotating black hole
• A geometric framework for black hole perturbations
• Foundations of an effective-one-body model for coalescing binaries on eccentric orbits
• A new gravitational wave generation algorithm for particle perturbations of the Kerr spacetime
• Effective-one-body multipolar waveform for tidally interacting binary neutron stars up to merger
• Spinning test-body orbiting around Schwarzschild black hole: circular dynamics and gravitational-wave fluxes
• Hyperboloidal layers for hyperbolic equations on unbounded domains
• Nonlinear-in-spin effects in effective-one-body waveform models of spin-aligned, inspiralling, neutron star binaries
• Center of mass, spin supplementary conditions, and the momentum of spinning particles
• Spinning test-body orbiting around a Kerr black hole: circular dynamics and gravitational-wave fluxes
• Analytical high-order post-Newtonian expansions for spinning extreme mass ratio binaries
• Asymptotic gravitational wave fluxes from a spinning particle in circular equatorial orbits around a rotating black hole
• Dissipation in extreme-mass ratio binaries with a spinning secondary
• iResum: a new paradigm for resumming gravitational wave amplitudes
• Factorization and resummation: A new paradigm to improve gravitational wave amplitudes. II: the higher multipolar modes
• Spin-dependent two-body interactions from gravitational self-force computations
• High-order Tail in Schwarzschild Space-time
• The antikick strikes back: recoil velocities for nearly-extremal binary black hole mergers in the test-mass limit
• High-order tail in Kerr spacetime
• Recurrence analysis of spinning particles in the Schwarzschild background

Cited by in corpus (24)

• Setting the cornerstone for the IMRPhenomX family of models for gravitational waves from compact binaries: The dominant harmonic for non-precessing quasi-circular black holes
• A faithful analytical effective one body waveform model for spin-aligned, moderately eccentric, coalescing black hole binaries
• A multipolar effective one body waveform model for spin-aligned black hole binaries
• Gravitational-wave energy flux for compact binaries through second order in the mass ratio
• Interpreting Binary Neutron Star Mergers: Describing the Binary Neutron Star Dynamics, Modelling Gravitational Waveforms, and Analyzing Detections
• The Science of the Einstein Telescope
• Extreme mass ratio inspirals with spinning secondary: a detailed study of equatorial circular motion
• Comparing second-order gravitational self-force, numerical relativity and effective one body waveforms from inspiralling, quasi-circular and nonspinning black hole binaries
• Effective one-body model for extreme-mass-ratio spinning binaries on eccentric equatorial orbits: testing radiation reaction and waveform
• Assessing the detectability of the secondary spin in extreme mass-ratio inspirals with fully-relativistic numerical waveforms
• Dissipation in extreme-mass ratio binaries with a spinning secondary
• Spinning test body orbiting around a Kerr black hole: Eccentric equatorial orbits and their asymptotic gravitational-wave fluxes
• Analytic post-Newtonian expansion of the energy and angular momentum radiated to infinity by eccentric-orbit non-spinning extreme-mass-ratio inspirals to 19PN
• Adiabatic equatorial inspirals of a spinning body into a Kerr black hole
• Scattering and dynamical capture of two black holes: synergies between numerical and analytical methods
• Determination of new coefficients in the angular momentum and energy fluxes at infinity to 9PN for eccentric Schwarzschild extreme-mass-ratio inspirals using mode-by-mode fitting
• Geometrized effective-one-body formalism for extreme-mass-ratio limits: Generic orbits
• Post-Newtonian expansions of extreme mass ratio inspirals of spinning bodies into Schwarzschild black holes
• Comparison of neural network architectures for feature extraction from binary black hole merger waveforms
• The Radial Action from Probe Amplitudes to All Orders
• Precisely computing bound orbits of spinning bodies around black holes I: General framework and results for nearly equatorial orbits
• Analytical solutions of bound timelike geodesic orbits in effective-one-body frame
• Exploiting Newton-factorized, 2PN-accurate, waveform multipoles in effective-one-body models for spin-aligned noncircularized binaries
• Assessment of Effective-One-Body Radiation Reactions for Generic Planar Orbits