Statistical and Systematic Errors in Measurement of Weak-Lensing
  Minkowski Functionals: Application to Canada-France-Hawaii Lensing Survey
  The measurement of cosmic shear using weak gravitational lensing is a
challenging task that involves a number of complicated procedures. We study in
detail the systematic errors in the measurement of weak lensing Minkowski
Functionals (MFs). Specifically, we focus on systematics associated with galaxy
shape measurements, photometric redshift errors, and shear calibration
correction. We first generate mock weak-lensing catalogs that directly
incorporate the actual observational characteristics of the
Canada-France-Hawaii Lensing Survey (CFHTLenS). We then perform a Fisher
analysis using the large set of mock catalogs for various cosmological models.
We find that the statistical error associated with the observational effects
degrades the cosmological parameter constraints by a factor of a few. The
Subaru Hyper Suprime-Cam (HSC) survey with a sky coverage of ~1400 deg2 will
constrain the dark energy equation of the state parameter with an error of
Delta w_0 ~ 0.25 by the lensing MFs alone, but biases induced by the
systematics can be comparable to the 1-sigma error. We conclude that the
lensing MFs are powerful statistics beyond the two-point statistics, only if
well-calibrated measurement of both the redshifts and the shapes of source
galaxies is performed. Finally, we analyze the CFHTLenS data to explore the
ability of the MFs to break degeneracies between a few cosmological parameters.
Using a combined analysis of the MFs and the shear correlation function, we
derive the matter density Omega_m0= 0.256+0.054-0.046.
