Measuring Omega0 with higher-order quasar-galaxy correlations induced by weak lensing

Details Measuring Omega0 with higher-order quasar-galaxy correlations induced by weak lensing Measuring Omega0 with higher-order quasar-galaxy correlations induced by weak lensing

Oct 2003

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003a%26a...409..411m&link_type=abstract

Astronomy and Astrophysics, v.409, p.411-421 (2003)

Astronomy and Astrophysics

Astrophysics

6

Cosmology: Gravitational Lensing, Cosmology: Large-Scale Structure Of Universe

Scientific paper

Via the magnification bias, gravitational lensing by large-scale structures causes angular cross-correlations between distant quasars and foreground galaxies on angular scales of arcminutes and above. We investigate the three-point cross-correlation between quasars and galaxy pairs measurable via the second moment of the galaxy counts around quasars and show that it reaches the level of a few per cent on angular scales near one arcminute. Combining two- and three-point correlations, a skewness parameter can be defined which is shown to be virtually independent of the shape and normalisation of the dark-matter power spectrum. If the galaxy bias is linear and deterministic, the skewness depends on the cosmic matter density parameter Omega0 only; otherwise, it can be used to probe the non-linearity and stochasticity of the bias. We finally estimate the signal-to-noise ratio of a skewness determination and find that a sample of about twenty thousand distant quasars e.g. from the Sloan Digital Sky Survey should suffice for a direct measurement of Omega0.

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