Systematic errors in measuring parameters of non-spinning compact binary coalescences with post-Newtonian templates

Abstract

We study the astrophysical impact of inaccurate and incomplete modeling of the gravitational waveforms from compact binary coalescences (CBCs). We do so by the matched filtering of complete inspiral-merger-ringdown (IMR) signals with a bank of inspiral-phase templates modeled after the 3.5 post-Newtonian TaylorT1 approximant. The rationale for the choice of the templates is threefold: (1) The inspiral phase of the Phenomenological signals, which are an example of complete IMR signals, is modeled on the same TaylorT1 approximant. (2) In the low-mass limit, where the merger and ringdown phases last much shorter than the inspiral phase, the errors should tend to vanishingly small values and, thus, provide an important check on the numerical aspects of our simulations. (3) Since the binary black hole (BBH) signals are not yet known for mass-ratios above ten and since signals from CBCs involving neutron stars are affected by uncertainties in the knowledge of their equation of state, inspiral templates are still in use in searches for those signals. The results from our numerical simulations are compared with analytical calculations of the systematic errors using the Fisher matrix on the template parameter space. We find that the loss in signal-to-noise ratio (SNR) can be as large as 60% even for binary black holes with component masses m1 = 13M\odot and m2 = 20M\odot. Also, the estimated total-mass for the same pair can be off by as much as 20%. Both of these are worse for some higher-mass combinations. Even the estimation of the symmetric mass-ratio η suffers a nearly 20% error for this example, and can be worse than 50% for the mass ranges studied here. These errors significantly dominate their statistical counterparts (at a nominal SNR of 10). It may, however, be possible to mitigate the loss in SNR by allowing for templates with unphysical values of η.

8 pages, 5 figures

References in corpus (23)

• 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
• Comparison of post-Newtonian templates for compact binary inspiral signals in gravitational-wave detectors
• A template bank for gravitational waveforms from coalescing binary black holes: non-spinning binaries
• 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
• A Comparison of search templates for gravitational waves from binary inspiral
• Simulating coalescing compact binaries by a new code SACRA
• LISA detections of massive black hole inspirals: parameter extraction errors due to inaccurate template waveforms
• General relativistic simulations of magnetized binary neutron star mergers
• Unequal Mass Binary Black Hole Plunges and Gravitational Recoil
• Gravitational Waves from the Merger of Binary Neutron Stars in a Fully General Relativistic Simulation
• Gravitational waves from relativistic neutron star mergers with nonzero-temperature equations of state
• Merger of black hole and neutron star in general relativity: Tidal disruption, torus mass, and gravitational waves
• A data-analysis strategy for detecting gravitational-wave signals from inspiraling compact binaries with a network of laser-interferometric detectors
• Gravitational waves from inspiralling compact binaries: hexagonal template placement and its efficiency in detecting physical signals
• Estimating the parameters of non-spinning binary black holes using ground-based gravitational-wave detectors: Statistical errors
• Gravitational-wave data analysis using binary black-hole waveforms
• The final phase of inspiral of neutron stars: realistic equations of state
• Are moving punctures equivalent to moving black holes?
• Searching for binary coalescences with inspiral templates: Detection and parameter estimation

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