Ray-tracing log-normal simulation for weak gravitational lensing: application to the cross-correlation with galaxies

We present an algorithm to self-consistently generate mock weak gravitational lensing convergence fields and galaxy distributions in redshift space. three-dimensional cosmic density that follow a log-normal distribution, ray-trace them produce maps. As we the distribution from same manner consistent with ray-tracing, galaxy-convergence cross-power spectrum measured agrees theoretical expectation high precision. use this simulation forecast quality of galaxy-shear cross-correlation measurements Subaru Hyper Suprime-Cam (HSC) Prime Focus Spectrograph (PFS) surveys. find nominal HSC PFS surveys would detect cross power spectra signal-to-noise ratios 20 5 at lowest ($z = 0.7$) highest 2.2$) bins, respectively.