A data-analysis driven comparison of analytic and numerical coalescing binary waveforms: nonspinning case

Abstract

We compare waveforms obtained by numerically evolving nonspinning binary black holes to post-Newtonian (PN) template families currently used in the search for gravitational waves by ground-based detectors. We find that the time-domain 3.5PN template family, which includes the inspiral phase, has fitting factors (FFs) >= 0.96 for binary systems with total mass M = 10 ~ 20 Msun. The time-domain 3.5PN effective-one-body template family, which includes the inspiral, merger and ring-down phases, gives satisfactory signal-matching performance with FFs >= 0.96 for binary systems with total mass M = 10 ~ 120 Msun. If we introduce a cutoff frequency properly adjusted to the final black-hole ring-down frequency, we find that the frequency-domain stationary-phase-approximated template family at 3.5PN order has FFs >= 0.96 for binary systems with total mass M = 10 ~ 20 Msun. However, to obtain high matching performances for larger binary masses, we need to either extend this family to unphysical regions of the parameter space or introduce a 4PN order coefficient in the frequency-domain GW phase. Finally, we find that the phenomenological Buonanno-Chen-Vallisneri family has FFs >= 0.97 with total mass M=10 ~ 120Msun. The main analyses use the noise spectral-density of LIGO, but several tests are extended to VIRGO and advanced LIGO noise-spectral densities.

19 pages, 17 figures, added references, corrected typos, changed figure 16

References in corpus (51)

• Evolution of Binary Black Hole Spacetimes
• Accurate Evolutions of Orbiting Black-Hole Binaries Without Excision
• Effective one-body approach to general relativistic two-body dynamics
• Gravitational wave extraction from an inspiraling configuration of merging black holes
• On gravitational-wave spectroscopy of massive black holes with the space interferometer LISA
• Transition from inspiral to plunge in binary black hole coalescences
• Observing binary inspiral in gravitational radiation: One interferometer
• Detection, Measurement and Gravitational Radiation
• Coalescence of Two Spinning Black Holes: An Effective One-Body Approach
• Measuring gravitational waves from binary black hole coalescences: I. Signal to noise for inspiral, merger, and ringdown
• The Last Three Minutes: Issues in Gravitational Wave Measurements of Coalescing Compact Binaries
• A simple construction of initial data for multiple black holes
• Inspiral, merger and ring-down of equal-mass black-hole binaries
• Total recoil: the maximum kick from nonspinning black-hole binary inspiral
• On the determination of the last stable orbit for circular general relativistic binaries at the third post-Newtonian approximation
• Gravitational radiation from inspiralling compact binaries completed at the third post-Newtonian order
• Spinning-black-hole binaries: The orbital hang up
• Improved filters for gravitational waves from inspiralling compact binaries
• Conformal ``thin sandwich'' data for the initial-value problem of general relativity
• Dimensional regularization of the gravitational interaction of point masses
• A Comparison of search templates for gravitational waves from binary inspiral
• Transition from inspiral to plunge in precessing binaries of spinning black holes
• Detecting gravitational waves from precessing binaries of spinning compact objects: Adiabatic limit
• Stable Operation of a 300-m Laser Interferometer with Sufficient Sensitivity to Detect Gravitational-Wave Events within our Galaxy
• Gravitational-Wave Inspiral of Compact Binary Systems to 7/2 Post-Newtonian Order
• 3rd post-Newtonian higher order Hamilton dynamics for two-body point-mass systems
• A multidomain spectral method for solving elliptic equations
• Third post-Newtonian dynamics of compact binaries: Noetherian conserved quantities and equivalence between the harmonic-coordinate and ADM-Hamiltonian formalisms
• Reducing orbital eccentricity in binary black hole simulations
• General relativistic dynamics of compact binaries at the third post-Newtonian order
• Parameter estimation of inspiralling compact binaries using 3.5 post-Newtonian gravitational wave phasing: The non-spinning case
• Excision boundary conditions for black hole initial data
• Third post-Newtonian dynamics of compact binaries: Equations of motion in the center-of-mass frame
• Detection template families for gravitational waves from the final stages of binary--black-hole inspirals: Nonspinning case
• Binary black holes in circular orbits. II. Numerical methods and first results
• Black Hole Mergers and Unstable Circular Orbits
• Binary black holes in circular orbits. I. A global spacetime approach
• Frequency-domain P-approximant filters for time-truncated inspiral gravitational wave signals from compact binaries
• Circular orbits and spin in black-hole initial data
• Comparisons of binary black hole merger waveforms
• Search for gravitational waves from galactic and extra--galactic binary neutron stars
• Binary black hole merger in the extreme mass ratio limit
• Spin-orbit interactions in black-hole binaries
• Innermost circular orbit of binary black holes at the third post-Newtonian approximation
• Search for gravitational waves from binary black hole inspirals in LIGO data
• A physical template family for gravitational waves from precessing binaries of spinning compact objects: Application to single-spin binaries
• Binary black hole late inspiral: Simulations for gravitational wave observations
• Circular orbits of corotating binary black holes: comparison between analytical and numerical results
• Gravitational waves from black hole binary inspiral and merger: The span of third post-Newtonian effective-one-body templates
• A comparison of search templates for gravitational waves from binary inspiral - 3.5PN update
• An explicit harmonic code for black-hole evolution using excision

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