Constraints on σ₈ and w₀ from a Fisher analysis of ξ_± and the convergence PDF, when keeping all other cosmological parameters fixed, normalised by the constraints of second-order statistics alone. We assumed a Euclid-like source redshift distribution to derive the results. The ξ₊ and ξ₋ values were taken in the range of $1_{\cdot }^{\mathrm{\prime }}65$ to 201′. The PDF was measured for convergence fields smoothed by a tophat filter of radius $4_{\cdot }^{\mathrm{\prime }}69$. Covariances were estimated from the SLICS (Harnois-Déraps et al. 2018), derivatives were either modelled analytically (dashed lines) or estimated from the DUSTGRAIN-pathfinder simulations (Giocoli et al. 2018, solid lines).