Measuring Omega_0 with higher-order Quasar-Galaxy Correlations induced by Weak Lensing

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dc.creatorMenard, Brice
dc.creatorBartelmann, Matthias
dc.creatorMellier, Yannick
dc.date2002-08-20
dc.date.accessioned2026-07-07T06:28:51Z
dc.date.available2026-07-07T06:28:51Z
dc.descriptionVia the magnification bias, gravitational lensing by large-scale structures causes angular cross-correlations between distant quasars and foreground galaxies on angular scales of arc minutes 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 arc minute. Combining two- and three-point correlations, a skewness parameter can be defined which is shown to be virtually independent on 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 Omega_0 only; otherwise, it can be used to probe the linearity and stochasticity of the bias. We finally estimate the signal-to-noise ratio of a skewness determination and find that around twenty thousand distant quasars e.g. from the Sloan Digital Sky Survey should suffice for a direct measurement of Omega_0.
dc.description11 pages, 6 figures, submitted to Astronomy and Astrophysics
dc.identifierhttps://arxiv.org/abs/astro-ph/0208361
dc.identifierhttp://arxiv.org/abs/astro-ph/0208361
dc.identifierAstron.Astrophys. 409 (2003) 411-421
dc.identifierdoi:10.1051/0004-6361:20030406
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/97838
dc.subjectAstrophysics
dc.titleMeasuring Omega_0 with higher-order Quasar-Galaxy Correlations induced by Weak Lensing
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