Astronomy and Astrophysics – Astrophysics
Scientific paper
1997-09-16
MNRAS, 294, L18 (1998)
Astronomy and Astrophysics
Astrophysics
7 pages, 4 figures included, revised with additions to formalism and discussion, matches published version
Scientific paper
10.1046/j.1365-8711.1998.01378.x
The angular cross-correlation between two galaxy samples separated in redshift is shown to be a useful measure of weak lensing by large-scale structure. Angular correlations in faint galaxies arise due to spatial clustering of the galaxies as well as gravitational lensing by dark matter along the line-of-sight. The lensing contribution to the 2-point auto-correlation function is typically small compared to the gravitational clustering. However the cross-correlation between two galaxy samples is nearly unaffected by gravitational clustering provided their redshift distributions do not overlap. The cross-correlation is then induced by magnification bias due to lensing by large-scale structure. We compute the expected amplitude of the cross-correlation for popular theoretical models of structure formation. For two populations with mean redshifts of $\simeq 0.3$ and 1, we find a cross-correlation signal of $\simeq 1%$ on arcminute scales and $\simeq 3%$ on a few arcseconds. The dependence on the cosmological parameters $\Omega$ and $\Lambda$, on the dark matter power spectrum and on the bias factor of the foreground galaxy population is explored.
Jain Bhuvnesh
Moessner Richhild
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