Upper row: convergence three-point correlation function for equilateral triangles, as a function of the triangle side ν, for sources at redshifts z_s = 0.6,1, and 1.5. The points are the results from numerical simulations with 3 − σ error bars. The low black dashed line “tree_L”, the black dotted line “tree_NL” and the two blue dashed lines “F_2,NL” are obtained from the ansatz (27), using either the linear 3D power spectrum, or the “halo-fit” power, or an effective kernel F_2,NL with the “halo-fit” power (lower curve) or the power from our model (upper curve). The red solid line “comb.” is our combined model, described in Paper I. The vertical arrows are at the same angular scale as in Fig. 1. Middle row: third-order moment of the smoothed convergence, as a function of the smoothing angle θ_s. Lower row: third-order moment of the aperture mass, as a function of the smoothing angle θ_s.