First Identification of a CMB Lensing Signal Produced by $1.5$ Million Galaxies at $z\sim$4: Constraints on Matter Density Fluctuations at High Redshift

Abstract: We report the first detection of the dark matter distribution around Lyman break galaxies (LBGs) at high redshift through the Cosmic Microwave Background (CMB) lensing measurements with the public {\it Planck} PR3 $\kappa$ map. The LBG sample consists of 1,473,106 objects with the median redshift of $z \sim 4$ that are identified in a total area of 305 deg$^2$ observed by the Hyper Suprime-Cam (HSC) Strategic Survey Program (SSP) survey. After careful investigations of systematic uncertainties, such as contamination from foreground galaxies and Cosmic Infrared Background (CIB), we obtain the significant detection of the CMB lensing signal at $5.1\sigma$ that is dominated by 2-halo term signals of the LBGs. Fitting a simple model consisting of the Navarro-Frenk-White (NFW) profile and the linear-bias model, we obtain the typical halo mass of $2.9^{+9.5}_{-2.5} \times 10^{11} h^{-1} M_\odot$. Combining the CMB lensing and galaxy-galaxy clustering signals on the large scales, we demonstrate the first cosmological analysis at $z\sim4$ that constrains $(\Omega_{{\rm m}0}$, $\sigma_8)$. We find that our constraint on $\sigma_8$ is roughly consistent with the {\it Planck} best-fit cosmology, while this $\sigma_8$ constraint is lower than the {\it Planck} cosmology over the $1\sigma$ level. This study opens up a new window for constraining cosmological parameters at high redshift by the combination of CMB and high-$z$ galaxies as well as studying the interplay between galaxy evolution and larges-scale structure at such high redshift, by upcoming CMB and optical and near-infrared imaging surveys.