Modelling galaxy-galaxy weak lensing with Sloan Digital Sky Survey groups

We use galaxy groups selected from the Sloan Digital Sky Survey (SDSS) together with mass models for individual groups to study the galaxy-galaxy lensing signals expected from galaxies of different luminosities and morphological types. We compare our model predictions with the observational results obtained from the SDSS by Mandelbaum et al. for the same samples of galaxies. The observational results are well reproduced in a Lambda cold dark matter (Lambda CDM) model based on the Wilkinson Microwave Anisotropy Probe (WMAP) 3-yr data, but a Lambda CDM model with higher sigma(8), such as the one based on the WMAP 1-yr data, significantly overpredicts the galaxy-galaxy lensing signal. We model, separately, the contributions to the galaxy-galaxy lensing signals from different galaxies: central versus satellite, early type versus late type and galaxies in haloes of different masses. We also examine how the predicted galaxy-galaxy lensing signal depends on the shape, density profile and the location of the central galaxy with respect to its host halo.