Improved Dark Siren Analysis for Measuring the Hubble Constant

Recent detections of binary black hole and neutron star systems using gravitational waves have allowed for new independent methods of measuring the Hubble Constant that are consistent with previous measurements but loosely constrained. In cases where an electromagnetic counterpart to a gravitational wave detection is not detected, so-called dark siren analysis uses preexisting galaxy catalog information in the localization region to obtain a statistically weighted measurement of the Hubble Constant. The error on this measurement is currently dominated by the error on the luminosity distance inferred from the gravitational wave signal. In this talk, I propose a method for reducing this error by re-analyzing bayesian parameter inference of the luminosity distance separately for each host galaxy candidate in the localization region, fixing the prior of each inference to the coordinates of its corresponding host galaxy candidate. This method has the potential to improve the overall dark siren Hubble Constant measurement by a few percent.