Cosmological inference from the emulator based halo model II: Joint analysis of galaxy-galaxy weak lensing and galaxy clustering from HSC-Y1 and SDSS

Abstract

We present high-fidelity cosmology results from a blinded joint analysis of galaxy-galaxy weak lensing ($\Delta \Sigma$) and projected galaxy clustering ($w_{\mathrm{p}}$) measured from the Hyper Suprime-Cam Year-1 (HSC-Y1) data and spectroscopic Sloan Digital Sky Survey (SDSS) galaxy catalogs in the redshift range $0.15<z<0.7$. We define luminosity-limited samples of SDSS galaxies to serve as the tracers of $w_{\mathrm{p}}$ in three spectroscopic redshift bins, and as the lens samples for $\Delta \Sigma$. For the $\Delta \Sigma$ measurements, we select a single sample of 4 million source galaxies over 140 deg${}^2$ from HSC-Y1 with photometric redshifts (photo-$z$) greater than 0.75, enabling a better handle of photo-$z$ errors by comparing the $\Delta \Sigma$ amplitudes for the three lens redshift bins. For cosmological parameter inference, we use an input galaxy-halo connection model built on the {\tt Dark Emulator} package with a halo occupation distribution that includes nuisance parameters to marginalize over modeling uncertainties. We model the $\Delta \Sigma$ and $w_{\mathrm{p}}$ measurements on scales from $R\simeq 3$ and $2h^{-1}\mathrm{Mpc}$, respectively, up to $30h^{-1}\mathrm{Mpc}$ assuming a flat $\Lambda$CDM cosmology. With various tests using mock catalogs described in Miyatake et al. (2021), we show that any bias in the clustering amplitude $S_8\equiv {\sigma }_8({\Omega }_{\mathrm{m}}/0.3{)}^{0.5}$ due to uncertainties in the galaxy-halo connection is less than $\sim 50$\% of the statistical uncertainty of $S_8$, {\it unless} the assembly bias effect is unexpectedly large. Our best-fit models have $S_8=0.795_{-0.042}^{+0.049}$ (mode and 68\% credible interval) for the flat $\Lambda$CDM model; we find tighter constraints on the quantity $S_8(\alpha =0.17)\equiv {\sigma }_8({\Omega }_{\mathrm{m}}/0.3{)}^{0.17}=0.745_{-0.031}^{+0.039}$. (abriged)

44 pages, 30 figures, 6 tables, submitted to Phys. Rev. D, YouTube video is available at https://www.youtube.com/watch?v=jRhQvuee97Q

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