Modeling of weak lensing statistics. II. Configuration-space statistics

Abstract

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. 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. 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.

11 pages

References in corpus (12)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Cosmology with Weak Lensing Surveys
• Probability Distribution Functions of Cosmological Lensing: Convergence, Shear, and Magnification
• Accurate Modeling of Weak Lensing with the sGL Method
• Copula Cosmology: Constructing a Likelihood Function
• Combining perturbation theories with halo models for the matter bispectrum
• Weak Lensing Observables in the Halo Model
• Precise Estimation of Cosmological Parameters Using a More Accurate Likelihood Function
• Covariance matrices for halo number counts and correlation functions
• Modeling of weak lensing statistics. I. Power spectrum and bispectrum
• Scale Transformations, Tree-level Perturbation Theory, and the Cosmological Matter Bispectrum
• Relations between three-point configuration space shear and convergence statistics

Cited by in corpus (8)

• Revising the Halofit Model for the Nonlinear Matter Power Spectrum
• Cosmic shear full nulling: sorting out dynamics, geometry and systematics
• Impact of the non-Gaussian covariance of the weak lensing power spectrum and bispectrum on cosmological parameter estimation
• Matter power spectrum from a Lagrangian-space regularization of perturbation theory
• CFHTLenS: A Gaussian likelihood is a sufficient approximation for a cosmological analysis of third-order cosmic shear statistics
• Modeling of weak lensing statistics. I. Power spectrum and bispectrum
• Luminosity distance in Swiss cheese cosmology with randomized voids and galaxy halos
• Source-lens clustering and intrinsic-alignment bias of weak-lensing estimators