Galaxy cluster number counts with individual lensing mass estimates: Forecasts for Euclid

Gradually, the $\Lambda$CDM model starts to be challenged by observational data. Upcoming cosmological surveys will increase number of detected galaxy clusters several orders magnitude. Therefore, shortly, provide tremendous constraints on cosmology and sharpen our understanding structure formation. However, a reliable framework is required analyse future Euclid-like catalogs. We build cluster likelihood based individual masses forecast Euclid performances within this framework. use matched filter for weak lensing mass estimation its characteristics with set simulations. Flagship N-body simulation emulate expected distribution sample test statistical against it. prove that joint callibration observable relation match filtering possible.