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

S. KhanSchool of Physics and Astronomy, Cardiff University, Queens Building, Cardiff CF24 3AA, United KingdomS. HusaDepartament de Física Universiat de les Illes Balears and Institut d’Estudis Espacials de Catalunya, Crta. Valldemossa km 7.5, E-07122 Palma, SpainMark HannamInternational Centre for Theoretical Sciences, Tata Institute of Fundamental Research, IISc Campus, Bangalore 560012, IndiaF. OhmeSchool of Physics and Astronomy, Cardiff University, Queens Building, Cardiff CF24 3AA, United KingdomM. PürrerMax Planck Institute for Gravitational Physics (Albert Einstein Institute), Am Mühlenberg 1, 12 Potsdam-Golm 14476, GermanyXisco Jiménez FortezaDepartament de Física Universiat de les Illes Balears and Institut d’Estudis Espacials de Catalunya, Crta. Valldemossa km 7.5, E-07122 Palma, SpainA. BohéDepartament de Física Universiat de les Illes Balears and Institut d’Estudis Espacials de Catalunya, Crta. Valldemossa km 7.5, E-07122 Palma, Spain
2016en
ABI

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 $1\ensuremath{\mathbin:}18$ and black-hole spins of $|a/m|\ensuremath{\sim}0.85$ (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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