The Spatial Clustering of Star‐forming Galaxies at Redshifts 1.4 ≲z≲ 3.5

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Abstract
We analyzed the spatial distribution of 28,500 photometrically selected galaxies with magnitude 23.5 < AB < 25.5 and redshift 1.4 < z < 3.5 in 21 fields with a total area of 0.81 deg2. The galaxies were divided into three subsamples, with mean redshifts = 1.7, 2.2, and 2.9, according to their UnG colors. Combining the galaxies' measured angular clustering with redshift distributions inferred from 1600 spectroscopic redshifts, we find comoving correlation lengths at the three redshifts of r0 = 4.5 ± 0.6, 4.2 ± 0.5, and 4.0 ± 0.6 h-1 Mpc, respectively, and infer a roughly constant correlation function slope of γ = 1.6 ± 0.1. We derive similar numbers from the 1600 object spectroscopic sample itself with a new statistic, K, that is insensitive to many possible systematics. Galaxies that are bright in (λrest ~ 1500-2500 Å) cluster more strongly than fainter galaxies at z = 2.9 and 2.2 but not, apparently, at z = 1.7. Comparison to a numerical simulation that is consistent with recent WMAP observations suggests that galaxies in our samples are associated with dark matter halos of mass 1011.2-1011.8 (z = 2.9), 1011.8-1012.2 (z = 2.2), and 1011.9-1012.3 M☉ (z = 1.7) and that a small fraction of the halos contain more than one galaxy that satisfies our selection criteria. Adding recent observations of galaxy clustering at z ~ 0 and ~1 to the simulation results, we conclude that the typical object in our samples will evolve into an elliptical galaxy by redshift z = 0 and will already have an early-type spectrum by redshift z = 1. We comment briefly on the implied relationship between galaxies in our survey and those selected with other techniques.
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