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

TL;DR

This paper evaluates an analytic model combining perturbation theory and halo models to predict weak-lensing configuration-space statistics, showing improved accuracy over previous formulas and capturing cosmology dependence.

Contribution

It introduces a combined perturbation-halo model for weak-lensing statistics that better matches simulations and describes multi-scale moments and their relation to 3D density fluctuations.

Findings

Model agrees better with simulations than previous fitting formulas.

Successfully captures cosmology dependence of weak-lensing statistics.

Describes multi-scale moments and contributions from different density fluctuation components.

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.