AMICO galaxy clusters in KiDS-DR3: Constraints on ?CDM from extreme value statistics

We constrain the ?CDM cosmological parameter s(8) by applying the extreme value statistics for galaxy cluster mass on the AMICO KiDS-DR3 catalogue. We sample the posterior distribution of the parameters by considering the likelihood of observing the largest cluster mass value in a sample of N-obs = 3644 clusters with intrinsic richness ?(*) > 20 in the redshift range z ? [0.10, 0.60]. We obtain s(8) = 0 . 90( + 0 .20) (-0.18), consistent within 1s 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 Euclid and LSST, which are expected to deliver thousands of distant and massive clusters.

Automated summary

We constrain the ?CDM cosmological parameter s(8) by applying the extreme value statistics on the AMICO KiDS-DR3 catalogue. By considering the likelihood of observing the largest cluster mass value in a sample of N-obs = 3644 clusters, we obtain s(8) = 0 . 90( + 0 .20) (-0.18), consistent with previous measurements and results from cluster cosmology. This method could be further improved by applying it to future missions like Euclid and LSST.