Abstract

Abstract We present a test of the statistical method introduced by Bernard F. Shutz in 1986 using only gravitational waves to infer the Hubble constant (H0) from GW190814, the first high-probability neutron-star–black hole (NS–BH) merger candidate detected by the Laser Interferometer gravitational-wave Observatory (LIGO) and the Virgo interferometer. We apply a baseline test of this method to the binary neutron star (BNS) merger GW170817 and find km s−1 Mpc−1 (maximum a posteriori and 68.3% highest density posterior interval) for a galaxy B-band luminosity threshold of with a correction for catalog incompleteness. Repeating the calculation for GW190814, we obtain km s−1 Mpc−1 and km s−1 Mpc−1 for and , respectively. Combining the posteriors for both events yields km s−1 Mpc−1, demonstrating the improvement on constraints when using multiple gravitational-wave events. We also confirm the results of other works that adopt this method, showing that increasing the L B threshold enhances the posterior structure and slightly shifts the distribution’s peak to higher H0 values.We repeat the joint inference using the low-spin PhenomPNRT and the newly available combined (SEOBNRv4PHM + IMRPhenomPv3HM) posterior samples for GW170817 and GW190814, respectively, achieving a tighter constraint of km s−1 Mpc−1.

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