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February 3, 2016Physical review. D/Physical review. D.1,108 citationsOpen Access

Frequency-domain gravitational waves from nonprecessing black-hole binaries. II. A phenomenological model for the advanced detector era

SKS. KhanSHS. HusaMHMark Hannam

Key Points

  • To construct an accurate and computationally efficient frequency-domain phenomenological waveform model capturing the inspiral, merger, and ringdown stages of nonprecessing binary black hole coalescences.
  • Calibrated the model against 19 hybrid effective-one-body–numerical-relativity waveforms with mass ratios up to 1:18 and aligned spins up to |a/m| ~ 0.85 (0.98 for equal masses).
  • Combined extended frequency-domain post-Newtonian expressions for the inspiral phase with an updated phenomenological ansatz for the merger-ringdown transition.
  • Evaluated model accuracy against 19 calibration hybrids and 29 separate verification hybrids.
  • Achieved mismatch errors typically below 1% across all 19 calibration and 29 verification waveforms within the calibration parameter space.
  • Showed that uncalibrated regions in alternative models like SEOBNRv2 produce mismatch errors reaching up to 10% at high spin values.

Abstract

We present a new frequency-domain phenomenological model of the gravitational-wave signal from the inspiral, merger and ringdown of nonprecessing (aligned-spin) black-hole binaries. The model is calibrated to 19 hybrid effective-one-body--numerical-relativity waveforms up to mass ratios of 1: 18 and black-hole spins of |a/m|0. 85 (0. 98 for equal-mass systems). The inspiral part of the model consists of an extension of frequency-domain post-Newtonian expressions, using higher-order terms fit to the hybrids. The merger ringdown is based on a phenomenological ansatz that has been significantly improved over previous models. The model exhibits mismatches of typically less than 1% against all 19 calibration hybrids and an additional 29 verification hybrids, which provide strong evidence that, over the calibration region, the model is sufficiently accurate for all relevant gravitational-wave astronomy applications with the Advanced LIGO and Virgo detectors. Beyond the calibration region the model produces physically reasonable results, although we recommend caution in assuming that any merger-ringdown waveform model is accurate outside its calibration region. As an example, we note that an alternative nonprecessing model, SEOBNRv2 (calibrated up to spins of only 0. 5 for unequal-mass systems), exhibits mismatch errors of up to 10% for high spins outside its calibration region. We conclude that waveform models would benefit most from a larger number of numerical-relativity simulations of high-aligned-spin unequal-mass binaries.

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Cite This Study

Khan et al. (2016) studied this question.

synapsesocial.com/papers/6a03784f8cb95a7d958a3223https://doi.org/10.1103/physrevd.93.044007
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