Tomography and weak lensing statistics

作者：Munshi Dipak^*; Coles Peter; Kilbinger Martin

来源：Journal of Cosmology and Astroparticle Physics, 2014, 2014(4): 004.

DOI：10.1088/1475-7516/2014/04/004

• weak gravitational lensing
• dark matter theory
• dark energy theory

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.

• 出版日期2014-4
• 单位SAP; 中国地震局