The gravitational lensing in redshift-space correlation functions of galaxies and quasars

Gravitational lensing, as well as the velocity field and the cosmological light cone warp, changes the observed correlation function of high-redshift objects. We present an analytical expression of the three-dimensional correlation function, simultaneously including those three effects. When two objects are separated over several hundred Mpc along a line of sight, the observed correlation function is dominated by the effect of gravitational lensing rather than intrinsic clustering. For a canonical lambda-cold dark matter model, the lensing signals in the galaxy-galaxy and galaxy-quasar correlations are beyond noise levels in large-scale redshift surveys like the Sloan Digital Sky Survey.