The Galaxy–Halo Connection in High-redshift Universe: Details and Evolution of Stellar-to-halo Mass Ratios of Lyman Break Galaxies on CFHTLS Deep Fields

Abstract

Abstract We present the results of clustering analyses of Lyman break galaxies (LBGs) at , 4, and 5 using the final data release of the Canada–France–Hawaii Telescope Legacy Survey (CFHTLS). Deep- and wide-field images of the CFHTLS Deep Survey enable us to obtain sufficiently accurate two-point angular correlation functions to apply a halo occupation distribution analysis. The mean halo masses, calculated as , increase with the stellar-mass limit of LBGs. The threshold halo mass to have a central galaxy, follows the same increasing trend as the low-z results, whereas the threshold halo mass to have a satellite galaxy, M 1, shows higher values at than , over the entire stellar mass range. Satellite fractions of dropout galaxies, even at less massive halos, are found to drop sharply, from z = 2 down to less than 0.04, at . These results suggest that satellite galaxies form inefficiently within dark halos at , even for less massive satellites with . We compute stellar-to-halo mass ratios (SHMRs) assuming a main sequence of galaxies, which is found to provide SHMRs consistent with those derived from a spectral energy distribution fitting method. The observed SHMRs are in good agreement with model predictions based on the abundance-matching method, within confidence intervals. We derive observationally, for the first time, , which is the halo mass at a peak in the star-formation efficiency, at , and it shows a small increasing trend with cosmic time at . In addition, and its normalization are found to be almost unchanged during . Our study provides observational evidence that galaxy formation is ubiquitously most efficient near a halo mass of over cosmic time.