AMICO galaxy clusters in KiDS-DR3: constraints on $\Lambda$CDM from extreme value statistics

TL;DR

This paper uses extreme value statistics on galaxy cluster data from KiDS-DR3 to constrain the DM parameter , obtaining results consistent with Planck and previous studies, and discusses future improvements with upcoming surveys.

Contribution

It introduces a novel application of extreme value statistics to galaxy cluster data for DM parameter estimation, demonstrating its effectiveness and potential for future surveys.

Findings

Estimated =0.90 with uncertainties overlapping Planck results

Method consistent with previous cluster cosmology measurements

Potential for improved constraints with future large surveys

Abstract

We constrain the $\Lambda$CDM cosmological parameter $\sigma_{8}$ 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 $N_{\textrm{obs}} = 3644$ clusters with intrinsic richness $\lambda^{*} > 20$ in the redshift range $z\in[0.10, 0.60]$. We obtain $\sigma_{8}=0.90_{-0.18}^{+0.20}$, consistent within $1\sigma$ 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 $\textit{Euclid}$ and LSST, which are expected to deliver thousands of distant and massive clusters.