AMICO galaxy clusters in KiDS-DR3: constraints on $\hat{I}›$CDM from extreme value statistics

Abstract

We constrain the $\hat{I}›$CDM cosmological parameter $\ddot{I}{ƒ}_8$ by applying the extreme value statistics for galaxy cluster mass on the AMICO KiDS-DR3 catalog. We sample the posterior distribution of the parameters by considering the likelihood of observing the largest cluster mass value in a sample of $N_{\text{obs}}=3644$ clusters with intrinsic richness $\hat{I}{»}^{\ast }>20$ in the redshift range $z\in [0.10,0.60]$. We obtain $\ddot{I}{ƒ}_8=0.90_{-0.18}^{+0.20}$, consistent within $1\ddot{I}ƒ$ with the measurements obtained by the Planck collaboration and with previous results from cluster cosmology exploiting AMICO KiDS-DR3. The constraints could improve by applying this method to forthcoming missions, such as $\text{Euclid}$ and LSST, which are expected to deliver thousands of distant and massive clusters.

11 pages, 9 figures, 4 tables