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