Astronomy and Astrophysics – Astrophysics
Scientific paper
2005-12-14
Astronomy and Astrophysics
Astrophysics
5 pages, submitted
Scientific paper
We study the possibility of using the entire probability distribution function (PDF) of the aperture mass Map and its related cumulative probability distribution function (CPDF) to obtain meaningful constraints on cosmological parameters. Deriving completely analytic expressions for the associated covariance matrices, we construct the Fisher matrix and use it to estimate the accuracy with which various cosmological parameters can be recovered from future surveys using such statistics. This formalism also includes the effect of various noises such as intrinsic ellipticity distribution of galaxies and finite survey size. The estimation errors are then compared with the ones derived from low order moments of the PDF (variance and skewness) to check how efficiently the high Map tail can be used to constrain cosmological parameters such as Omega_m, sigma_8 and dark energy equation of state w_de. We find that for future surveys such as JDEM the full PDF does not bring significant tightening of constraints on cosmology beyond what is already achievable by the joint use of second and third order moments.
Munshi Dipak
Valageas Patrick
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