  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.
