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We present the first joint analysis of cluster abundances and auto or cross-correlations of three cosmic tracer fields: galaxy density, weak gravitational lensing shear, and cluster density split by optical richness. From a joint analysis (4 x 2pt + N) of cluster abundances, three cluster cross-correlations, and the auto correlations of the galaxy density measured from the first year data of the Dark Energy Survey, we obtain Omega m = 0.305(-0.038)(+0.055) and sigma g = 0.783(-0.054)(+0.064) This result is consistent with constraints from the DES-Yl galaxy clustering and weak lensing two-point correlation functions for the flat nu ACDM model. Consequently, we combine cluster abundances and all two-point correlations from across all three cosmic tracer fields (6 x 2pt + N) and find improved constraints on cosmological parameters as well as on the cluster observable-mass scaling relation. This analysis is an important advance in both optical cluster cosmology and multiprobe analyses of upcoming wide imaging surveys.
Frédéric Courbin, Georges Meylan