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Tomography and weak lensing statistics

Munshi, Dipak, Coles, Peter and Kilbinger, Martin 2014. Tomography and weak lensing statistics. Journal of Cosmology and Astroparticle Physics 2014 (04) , pp. 30-37. 10.1088/1475-7516/2014/04/004

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We provide generic predictions for the lower order cumulants of weak lensing maps, and their correlators for tomographic bins as well as in three dimensions (3D). Using small-angle approximation, we derive the corresponding one- and two-point probability distribution function for the tomographic maps from different bins and for 3D convergence maps. The modelling of weak lensing statistics is obtained by adopting a detailed prescription for the underlying density contrast that involves hierarchal ansatz and lognormal distribution. We study the dependence of our results on cosmological parameters and source distributions corresponding to the realistic surveys such as LSST and DES. We briefly outline how photometric redshift information can be incorporated in our results. We also show how topological properties of convergence maps can be quantified using our results.

Item Type: Article
Date Type: Published Online
Status: Published
Schools: Physics and Astronomy
Publisher: IOP Publishing: Hybrid Open Access
ISSN: 1475-7516
Funders: STFC
Date of First Compliant Deposit: 18 July 2017
Date of Acceptance: 18 March 2014
Last Modified: 19 Oct 2019 03:42

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