Patrick Valageas, Masanori Sato, Takahiro Nishimichi
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 compare 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
consider 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 provides better agreement with simulations
than published fitting formulas. Moreover, we check that we recover the
dependence on cosmology of these weak lensing statistics. 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, 2-halo, or 1-halo terms.
View original:
http://arxiv.org/abs/1112.1495
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