Accurate precision Cosmology with redshift unknown gravitational wave
  sources
  Gravitational waves can provide an accurate measurement of the luminosity
distance to the source, but cannot provide the source redshift unless the
degeneracy between mass and redshift can be broken. This makes it essential to
infer the redshift of the source independently to measure the expansion history
of the Universe. We show that by exploiting the clustering scale of the
gravitational wave sources with galaxies of known redshift, we can infer the
expansion history from redshift unknown gravitational wave sources. By using
gravitational wave sources of unknown redshift that are detectable from the
network of gravitational wave detectors with Advanced LIGO design sensitivity,
we will be able to obtain accurate and precise measurements of the local Hubble
constant, the expansion history of the universe, and the gravitational wave
bias parameter, which captures the distribution of gravitational wave sources
with respect to the redshift tracer distribution. While we showcase its
application to low redshift gravitational waves, this technique will be
applicable also to the high redshift gravitational wave sources detectable from
Laser Interferometer Space Antenna (LISA), Cosmic Explorer (CE), and Einstein
Telescope (ET). Moreover, this method will also be applicable to samples of
supernovae and fast radio bursts with unknown or photometric redshifts.
