Monday

Galaxy clusters are luminous tracers of the most massive dark matter haloes in the universe. To use them as a cosmological probe, a detailed description of the relation between observable properties and host dark matter halo characteristics is required. We study how the dynamical state of haloes impacts the mass function at the high mass end, for haloes hosting galaxy clusters. We use the MultiDark suite of simulations and the high mass objects therein. We measure the mean relations of concentration, offset and spin as a function of halo mass and redshift and their distributions. We confirm the recent discovery of the concentration upturn at high masses and provide a model that predicts concentration for different values of mass and redshift with one single equation. We model the distributions around the mean values with modified Schechter functions. The concentration of low mass haloes shows a faster redshift evolution, especially in the high concentration regime. The single models are combined into a generalized mass function model, which predicts the halo mass function as a function of spin and offset. Our model recovers the fiducial mass function with 3% accuracy at z=0 and accounts for redshift evolution up to z=1.5. This model provides a key step towards marginalizing over the cool-core bias while constraining cosmological parameters with X-ray-selected clusters. This is key towards precision cosmology using cluster counts as a probe with X-ray surveys, such as eROSITA.