Clustering of Dark Matter Halos on the Light Cone: Scale, Time, and Mass Dependence of the Halo Biasing in the Hubble Volume Simulations

We develop a phenomenological model to predict the clustering of dark matterhalos on the light-cone by combining several existing theoretical models.Assuming that the velocity field of halos on large scales is approximated bylinear theory, we propose an empirical prescription of a scale-, mass-, andtime-dependence of halo biasing. We test our model against the Hubble Volume$N$-body simulation and examine its validity and limitations. We find a goodagreement in two-point correlation functions of dark matter halos between thephenomenological model predictions and measurements from the simulation for$R>5h^{-1}$Mpc both in the real and redshift spaces. Although calibrated on themass scale of groups and clusters and for redshifts up to $z\sim2$, the modelis quite general and can be applied to a wider range of astrophysical objects,such as galaxies and quasars, if the relation between dark halos and visibleobjects is specified.Comment: 5 pages, 2 figures, ApJL accepted. New references adde