QSO-galaxy correlations due to weak lensing in arbitrary Friedmann-Lemaitre cosmologies
Abstract
We calculate the angular cross-correlation function between background QSOs and foreground galaxies induced by the weak lensing effect of large-scale structures. Results are given for arbitrary Friedmann-Lemaitre cosmologies. The nonlinear growth of density perturbations is included. The correlation amplitude can be increased by about an order of magnitude due to nonlinear compared to linear density fluctuations. The dependence of the correlation amplitude on the cosmological parameters strongly depends on the normalization of the power spectrum. The QSO-galaxy cross-correlation function is most sensitive to density structures on scales in the range 1-10 Mpc/h, where the normalization of the power spectrum to the observed cluster abundance appears most appropriate. In that case, the correlation strength scales approximately with Omega0**(0.3-0.8), H0**1.3, and Lambda**0.9.Keywords
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