p--$\Lambda$ correlation function measured in pp collisions at $\sqrt{s}$~=~13~TeV~ compared to theoretical predictions obtained using the NLO19 version of $\chi$EFT. On the right fit is performed assuming a residual p--$\Sigma^0$ interaction as predicted by \chiEFT, while on the right a negligible interaction is assumed. The middle panels show a zoomed version along the $y$-axis, to further investigate the kinematic cusp, around 290~MeV/$c$ corresponding to the N$\Sigma\leftrightarrow$N$\Lambda$ coupling. The bottoms panel show the discrepancy of model to the data.