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$^3$ [GA]

http://arxiv.org/abs/1704.06535


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 $10″<\theta<90″$, 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 ($M_\mathrm{h}$) 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 ($\dot{M}\mathrm{h}$) over a wide-mass range of $M\mathrm{h}/M_\odot=4\times10^{10}-4\times10^{12}$. We find that the SHMR increases from $z\sim4$ to $7$ by a factor of $\sim4$ at $M_\mathrm{h}\simeq1\times10^{11}\ M_\odot$, while the SHMR shows no strong evolution in the similar redshift range at $M_\mathrm{h}\simeq1\times10^{12}\ M_\odot$. Interestingly, we identify a tight relation of $SFR/\dot{M}\mathrm{h}-M\mathrm{h}$ showing no significant evolution beyond 0.15 dex in this wide-mass range over $z\sim4-7$. This weak evolution suggests that the $SFR/\dot{M}\mathrm{h}-M\mathrm{h}$ 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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Y. Harikane, M. Ouchi, Y. Ono, et. al.
Mon, 24 Apr 17
2/54

Comments: 31 pages, 25 figures, submitted to a special issue of PASJ