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GOLDRUSH. II. Clustering of Galaxies at $z4-6$ Revealed with the Half-Million Dropouts Over the 100 deg$^2$ Area Corresponding to 1 Gpc$^3$

, , , , , , , , , , , , , , , , , and . (2017)cite arxiv:1704.06535Comment: 31 pages, 25 figures, submitted to a special issue of PASJ.

Abstract

We present clustering properties from 579,492 Lyman break galaxies (LBGs) at $z\sim4-6$ over the 100 deg$^2$ sky (corresponding to a 1.4 Gpc$^3$ volume) identified in early data of the Hyper Suprime-Cam (HSC) Subaru strategic program survey. We derive angular correlation functions (ACFs) of the HSC LBGs with unprecedentedly high statistical accuracies at $z\sim4-6$, and compare them with the halo occupation distribution (HOD) models. We clearly identify significant ACF excesses in $10"<þeta<90"$, the transition scale between 1- and 2-halo terms, suggestive of the existence of the non-linear halo bias effect. Combining the HOD models and previous clustering measurements of faint LBGs at $z\sim4-7$, we investigate dark-matter halo mass ($M_h$) of the $z\sim4-7$ LBGs and its correlation with various physical properties including the star-formation rate (SFR), the stellar-to-halo mass ratio (SHMR), and the dark-matter mass accretion rate ($M_h$) over a wide-mass range of $M_h/M_ødot=4\times10^10-4\times10^12$. We find that the SHMR increases from $z\sim4$ to $7$ by a factor of $\sim4$ at $M_h\simeq1\times10^11\ M_ødot$, while the SHMR shows no strong evolution in the similar redshift range at $M_h\simeq1\times10^12\ M_ødot$. Interestingly, we identify a tight relation of $SFR/M_h-M_h$ showing no significant evolution beyond 0.15 dex in this wide-mass range over $z\sim4-7$. This weak evolution suggests that the $SFR/M_h-M_h$ relation is a fundamental relation in high-redshift galaxy formation whose star-formation activities are regulated by the dark-matter mass assembly.

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[1704.06535] GOLDRUSH. II. Clustering of Galaxies at $z\sim 4-6$ Revealed with the Half-Million Dropouts Over the 100 deg$^2$ Area Corresponding to 1 Gpc$^3$

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