Modeling of weak lensing statistics. I. Power spectrum and bispectrum

Abstract

We investigate the performance of an analytic model of the 3D matter distribution, which combines perturbation theory with halo models, for weak-lensing statistics. We compare our predictions for the weak-lensing convergence power spectrum and bispectrum with numerical simulations and fitting formulas proposed in previous works. We find that this model provides better agreement with simulations than published fitting formulas. This shows that building on systematic and physically motivated models is a promising approach. Moreover, this makes explicit the link between the weak-lensing statistics and the underlying properties of the 3D matter distribution, as a function of scale $\ell$. Thus, we obtain the contributions to the lensing power spectrum and bispectrum that arise from perturbative terms (complete up to one-loop) and nonperturbative terms (e.g., "1-halo" term). Finally, we show that this approach recovers the dependence on cosmology (for realistic scenarios).

14 pages

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

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• 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
• The imprint of $f(R)$ gravity on weak gravitational lensing II : Information content in cosmic shear statistics
• Weak lensing probe of cubic Galileon model
• Source-lens clustering and intrinsic-alignment bias of weak-lensing estimators
• Post-Limber Weak Lensing Bispectrum, Reduced Shear Correction, and Magnification Bias Correction
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• A new third-order cosmic shear statistics: Separating E/B-mode correlations on a finite interval
• Ringing the universe with cosmic emptiness: void properties through a combined analysis of stacked weak gravitational and Doppler lensing
• Mapping the cosmic mass distribution with stacked weak gravitational lensing and Doppler lensing