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Hybrid waveforms for generic precessing binaries for gravitational-wave data analysis

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arxiv 2001.07109 v2 pith:B3B76PC3 submitted 2020-01-20 gr-qc

Hybrid waveforms for generic precessing binaries for gravitational-wave data analysis

classification gr-qc
keywords waveformsmergeranalyticalbinariesconstructgenerichybridhybridize
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We construct hybrid binary black holes merger waveforms using analytical model waveforms for the early inspiral phase and numerical relativity waveforms for late inspiral to merger and post merger phases. To hybridize analytical and numerical waveforms, we first perform a 3-dimensional rotation to align the instantaneous orbital planes associated with the two waveforms at some fiducial frequency, we then find appropriate phase and time translations that maximize the overlap of the two waveforms in a hybridization interval. We discuss the accuracy and limitations for hybrids constructed by this procedure in the context of LIGO-Virgo-KAGRA observations. Our goal is to hybridize waveforms for more generic precessing binaries and construct longer waveforms that are sufficiently accurate for the parameter estimation techniques for upcoming LIGO observations.

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    For orbital velocities below 0.45, PN energy flux agreement with NR improves up to incomplete 6PN with non-monotonic behavior, but convergence is lost near v approximately 0.5.