Modeling of weak-lensing statistics

II. Configuration-space statistics

P. Valageas¹, M. Sato² and T. Nishimichi³

¹ Institut de Physique Théorique, CEA Saclay, 91191 Gif-sur-Yvette, France
e-mail: patrick.valageas@cea.fr
² Department of Physics, Nagoya University, 464-8602 Nagoya, Japan
³ Institute for the Physics and Mathematics of the Universe, University of Tokyo, Kashiwa, 277-8568 Chiba, Japan

Received: 5 December 2011
Accepted: 30 January 2012

Abstract

Aims. We investigate the performance of an analytic model of the 3D matter distribution, which combines perturbation theory with halo models, for weak-lensing configuration-space statistics.

Methods. We compared our predictions for the weak-lensing convergence two-point and three-point correlation functions with numerical simulations and fitting formulas proposed in previous works. We also considered the second- and third-order moments of the smoothed convergence and of the aperture-mass.

Results. As in our previous study of Fourier-space weak-lensing statistics, we find that our model agrees better with simulations than previously published fitting formulas. Moreover, we recover the dependence on cosmology of these weak-lensing statistics and we can describe multi-scale moments. This approach allows us to obtain the quantitative relationship between these integrated weak-lensing statistics and the various contributions to the underlying 3D density fluctuations, decomposed over perturbative, two-halo, or one-halo terms.