Kavli Affiliate: Masahiro Takada
| First 5 Authors: Kanmi Nose, Masahiro Takada, Ryo Terasawa, ,
| Summary:
In a wide-area spectroscopic survey of galaxies, it is nearly impossible to
obtain a homogeneous sample of galaxies with respect to galaxy properties such
as stellar mass and host halo mass across a range of redshifts. Despite the
selection effect, theoretical templates in most analyses assume single tracers
when compared with the measured clustering quantities. We demonstrate
analytically that the selection effect inevitably introduces a bias in the
redshift-space power spectrum on scales from linear to nonlinear scales. To
quantitatively assess the impact of the selection effect, we construct mock
galaxy catalogs from halos in N-body simulations by selecting halos above
redshift-dependent mass thresholds such that the resulting redshift
distribution of the halos, $n(z)$, matches that of SDSS-like galaxies. We find
that the selection effect causes fractional changes of up to only 1% and 2% in
the monopole and quadrupole moments of the redshift-space power spectrum at
$klesssim 0.3~h{rm{Mpc}}^{-1}$, respectively, compared to the moments for the
single mass-threshold (therefore single tracer) sample, for $n_{rm g}(z)$ of
the SDSS-like galaxy samples. We also argue that the selection effect is
unlikely to cause a significant bias in the estimation of cosmological
parameters using the Fisher matrix method, provided that the redshift-dependent
selection effect is modest.
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