Cross-correlating dark sirens and galaxies: measurement of $H_0$ from
  GWTC-3 of LIGO-Virgo-KAGRA
  We measure the Hubble constant of the Universe using spatial
cross-correlation between gravitational wave (GW) sources without
electromagnetic counterparts from the third GW Transient Catalog (GWTC-3), and
the photometric galaxy surveys 2MPZ and WISE-SuperCOSMOS. Using the eight
well-localised GW events, we obtain Hubble constant $H_0= 68.2_{-6.2}^{+26.0}$
km/s/Mpc (median and 68.3$\%$ equal-tailed interval (ETI)) after marginalizing
over the matter density and the GW bias parameters. Though the constraints are
weak due to a limited number of GW sources and poor sky localization, they are
not subject to assumptions regarding the GW mass distribution. By combining
this measurement with the Hubble constant measurement from binary neutron star
GW170817, we find a value of Hubble constant $H_0= 67.0_{-3.8}^{+6.3}$ km/s/Mpc
(median and 68.3$\%$ ETI).
