Halo model prediction of the cosmic magnification statistics: the full non-linear contribution

We use the halo model formulation of Takada & Jain (2003) to compute the correlation function of lensing magnification due to the large-scale structure. We do not employ the weak lensing approximation, mu=1+2kappa, and our predictions thus include the full contribution from non-linear magnification due to lensing halos. We compare the model prediction with ray-tracing simulations and find excellent agreement over a range of angular scales we consider. In addition, the asymptotic behavior for large magnifications is derived based on the universal properties of magnification around caustic curves. For a general correlation function parameterized as (f is any cosmic field correlated with the magnification field), the amplitude is finite for p