Galaxy Clustering and Galaxy Bias in a ΛCDM Universe

Abstract

We investigate galaxy clustering and galaxy-mass correlations in the LCDM cosmological model using a large volume SPH simulation. For the most part, the predicted biases between galaxies and dark matter lead to good agreement with current observations, including: (1) a nearly constant comoving correlation length from z=3 to z=0 for mass-selected galaxy samples of constant comoving space density; (2) an rms bias factor b~1 at z=0; (3) a scale-dependent bias on small scales that transforms the curved dark matter correlation function into a nearly power-law galaxy correlation function; (4) galaxy pairwise dispersion and hierarchical skewness ratio S_3 in good agreement with observed values, and lower than values for the dark matter by ~20%; (5) a ratio of galaxy-galaxy to galaxy-mass correlation functions consistent with recent measurements from the RCS survey; and (6) a mean excess mass dM(260/h kpc) approximately proportional to galaxy baryon mass M_b, in agreement with lensing estimates from the SDSS. These clustering properties vary with galaxy baryon mass and, more strongly, with stellar population age, in good qualitative agreement with the observed dependence of galaxy clustering and galaxy-mass correlations on galaxy type. The predicted ratio dM(260)/M_b is lower than the SDSS estimates for galaxies with M_b>~2e11 Msun, but numerical resolution effects account for most of this discrepancy, leaving little room for feedback or other astrophysical processes to reduce the stellar masses of luminous galaxies, at least given our adopted cosmological parameters. Our results show that the LCDM model and the galaxy formation physics incorporated in the SPH simulation give a good account of observed galaxy clustering, but anticipated improvements in clustering and weak lensing measurements will soon test this picture in much more detail.