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Mode-by-mode Relative Binning: Fast Likelihood Estimation for Gravitational Waveforms with Spin-Orbit Precession and Multiple Harmonics

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arxiv 2109.09872 v2 pith:EWPL4TTJ submitted 2021-09-20 astro-ph.IM gr-qc

classification astro-ph.IMgr-qc
keywords binninglikelihoodrelativemethodwaveformaccuracyanalysisfast
verification ladder T0 review T1 audit T2 compute T3 formal
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Faster likelihood evaluation enhances the efficiency of gravitational wave signal analysis. We present Mode-by-mode Relative Binning (MRB), a new method designed for obtaining fast and accurate likelihoods for advanced waveform models that include spin-orbit precession effects and multiple radiation harmonics from compact binary coalescence. Leveraging the "twisting-up" procedure of constructing precessing waveform modes from non-precessing ones, the new method mitigates degrade of relative binning accuracy due to interference from superimposed modes. Additionally, we supplement algorithms for optimizing the choice of frequency bins specific to any given strain signal under analysis. Using the new method, we are able to evaluate the likelihood with up to an order of magnitude reduction in the number of waveform model calls per frequency compared to the previously used relative binning scheme, and achieve better likelihood accuracy than is sufficient for obtaining source parameter posterior distributions that are indistinguishable from the exact ones.

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Forward citations

Cited by 3 Pith papers

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  3. Decoding Long-duration Gravitational Waves from Binary Neutron Stars with Machine Learning: Parameter Estimation and Equations of State

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