Mock galaxy shape catalogs in the Subaru Hyper Suprime-Cam Survey
  We use the full-sky ray-tracing weak lensing simulations to generate 2268
mock catalogues for the Subaru Hyper Suprime-Cam (HSC) survey first-year shear
catalogue. Our mock catalogues take into account various effects as in the real
data: the survey footprints, inhomogeneous angular distribution of source
galaxies, statistical uncertainties in photometric redshift (photo-$z$)
estimate, variations in the lensing weight, and the statistical noise in galaxy
shape measurements including both intrinsic shapes and the measurement errors.
We then utilize our mock catalogues to evaluate statistical uncertainties
expected in measurements of cosmic shear two-point correlations $\xi_{\pm}$
with tomographic redshift information for the HSC survey. We develop a
quasi-analytical formula for the Gaussian sample variance properly taking into
account the number of source pairs in the survey footprints. The standard
Gaussian formula significantly overestimates or underestimates the mock results
by $50\%$ level. We also show that different photo-$z$ catalogues or the six
disconnected fields, rather than a consecutive geometry, cause variations in
the covariance by $\sim 5\%$. The mock catalogues enable us to study the
chi-square distribution for $\xi_{\pm}$. We find the wider distribution than
that naively expected for the distribution with the degrees-of-freedom of data
vector used. Finally, we propose a method to include non-zero multiplicative
bias in mock shape catalogue and show the non-zero multiplicative bias can
change the effective shape noise in cosmic shear analyses. Our results suggest
an importance of estimating an accurate form of the likelihood function (and
therefore the covariance) for robust cosmological parameter inference from the
precise measurements.
