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
We present the results of clustering analyses of Lyman break galaxies (LBGs) at z∼3, 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 〈M{sub h}〉=10{sup 11.7}--10{sup 12.8} h{sup −1} M{sub ⊙}, increase with the stellar-mass limit of LBGs. The threshold halo mass to have a central galaxy, M{sub min}, follows the same increasing trend as the low-z results, whereas the threshold halo mass to have a satellite galaxy, M {sub 1}, shows higher values at z=3--5 than z=0.5--1.5, 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 z=3--5. These results suggest that satellite galaxies form inefficiently within dark halos at z=3--5, even for less massive satellites with M{sub ⋆}<10{sup 10} M{sub ⊙}. 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 1σ confidence intervals. We derive observationally, for the first time, M{sub h}{sup pivot}, which is the halo mass at a peak in the star-formation efficiency, at 3 3. In addition, M{sub h}{sup pivot} and its normalization are found to be almost unchanged during 0<z<5. Our study provides observational evidence that galaxy formation is ubiquitously most efficient near a halo mass of M{sub h}∼10{sup 12} M{sub ⊙} over cosmic time.