Key points are not available for this paper at this time.
Galaxy-galaxy lensing measures the mean excess surface density DS (r) around a sample of lensing galaxies. We develop a method for combining DS (r) with the galaxy correlation function xigg (r) to constrain Omegaₘ and sigma₈, going beyond the linear bias model to reach the level of accuracy demanded by current and future measurements. We adopt the halo occupation distribution (HOD) framework, and we test its applicability to this problem by examining the effects of replacing satellite galaxies in the halos of an SPH simulation with randomly selected dark matter particles from the same halos. The difference between dark matter and satellite galaxy radial profiles has a ~10% effect on DS (r) at r2 Mpc/h, but it fails at the 30-50% level on smaller scales. The scaling of DS (r) ~ Omegaₘᵃ (r) sigma₈ᵇ (r) approaches the linear bias expectation a=b=1 at r>10 Mpc/h, but a (r) and b (r) vary from 0. 8 to 1. 6 at smaller r. We calculate a fiducial DS (r) and scaling indices a (r) and b (r) for two SDSS galaxy samples; galaxy-galaxy lensing measurements for these samples can be combined with our predictions to constrain Omegaₘ and sigma₈.
Yoo et al. (Thu,) studied this question.