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We present an algorithm to self-consistently generate mock weak gravitationallensing convergence fields and galaxy distributions in redshift space. Wegenerate three-dimensional cosmic density fields that follow a log-normaldistribution, and ray-trace them to produce convergence maps. As we generatethe galaxy distribution from the same density fields in a manner consistentwith ray-tracing, the galaxy-convergence cross-power spectrum measured from themock agrees with the theoretical expectation with high precision. We use thissimulation to forecast the quality of galaxy-shear cross-correlationmeasurements from the Subaru Hyper Suprime-Cam (HSC) and Prime FocusSpectrograph (PFS) surveys. We find that the nominal HSC and PFS surveys woulddetect the cross power spectra with signal-to-noise ratios of 20 and 5 at thelowest ($z = 0.7$) and highest ($z = 2.2$) redshift bins, respectively.

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