Correlation coefficient r(k) between each of the projected fields. These tests are diagnostics to show that higher order correlations that we did not model do not introduce significant correlations between the density lensing and matter current lensing fields. The solid lines show the mean correlation coefficient from 15 different realisation of the fields (5 snapshots × 3 projection axes), the shaded regions show 1σ error bars calculated from the dispersion of the estimated correlation coefficients. Top: Correlation between the reconstructed momentum convergence, ${\widehat{\kappa }}_{j_{\Vert }}$, and the momentum convergence, κ_j∥. Middle: Correlation between the momentum convergence, κ_j∥, and the density convergence, κ_ϕ. Bottom: Correlation between the density convergence, κ_ϕ, and the reconstructed momentum convergence, ${\widehat{\kappa }}_{j_{\Vert }}$.