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The Connection between Galaxies and Dark Matter Structures in the Local Universe

We provide new constraints on the connection between galaxies in the local universe, identified by the Sloan Digital Sky Survey (SDSS), and dark matter halos and their constituent substructures in the $Λ$CDM model using WMAP7 cosmological parameters. Predictions for the abundance and clustering properties of dark matter halos, and the relationship between dark matter hosts and substructures, are based on a high-resolution cosmological simulation, the Bolshoi simulation. We associate galaxies with halos and subhalos using subhalo abundance matching, performing a comprehensive analysis which investigates the underlying assumptions of this technique including (a) which halo property is most closely associated with galaxy stellar masses and luminosities, (b) how much scatter is in this relationship, and (c) how much subhalos can be stripped before their galaxies are destroyed. The models are jointly constrained by new measurements of the projected two-point galaxy clustering and the observed conditional stellar mass function of galaxies in groups. The data put tight constraints on the satellite fraction of galaxies as a function of galaxy stellar mass, on the scatter between halo and galaxy properties, and on the underlying conditional stellar mass function. These data rule out several halo properties commonly used in abundance matching, largely because the satellite fractions in the models disagree with those data. We show that an abundance matching model that associates galaxies with the peak circular velocity of their halos is in good agreement with the data, when scatter of $0.20 \pm 0.03$ dex in stellar mass at a given peak velocity is included. This will yield important constraints for galaxy formation models, and also provides encouraging indications that the galaxy--halo connection can be modeled with sufficient fidelity for future precision studies of the dark Universe.