AMICO galaxy clusters in KiDS-DR3: Constraints on cosmological parameters and on the normalisation of the mass-richness relation from clustering

Abstract

We analysed the clustering of a photometric sample of galaxy clusters selected from the Third Data Release of the Kilo-Degree Survey, focusing on the redshift-space two-point correlation function (2PCF). We compared our measurements to theoretical predictions of the standard $\Lambda$ cold dark matter ($\Lambda$CDM) cosmological model. We measured the 2PCF of the sample in the cluster centric radial range $r\in [5,80]$ $h^{-1}$Mpc, considering 4934 galaxy clusters with richness ${\lambda }^{\ast }\ge 15$ in the redshift range $z\in [0.1,0.6]$. A Markov chain Monte Carlo analysis has been performed to constrain the cosmological parameters ${\Omega }_{\mathrm{m}}$, ${\sigma }_8$, and $S_8\equiv {\sigma }_8({\Omega }_{\mathrm{m}}/0.3{)}^{0.5}$, assuming Gaussian priors on the mass-richness relation given by the posteriors obtained from a joint analysis of cluster counts and weak lensing. In addition, we constrained the normalisation of the mass-richness relation, $\alpha$, with fixed cosmological parameters. We obtained ${\Omega }_{\mathrm{m}}=0.28_{-0.04}^{+0.05}$, ${\sigma }_8=0.82_{-0.12}^{+0.14}$, and $S_8=0.80_{-0.08}^{+0.08}$. The constraint on $S_8$ is consistent within 1$\sigma$ with the results from WMAP and Planck. Furthermore, by fixing the cosmological parameters to those provided by Planck, we obtained $\alpha =0.12_{-0.06}^{+0.06}$, which is fully consistent with the result obtained from the joint analysis of cluster counts and weak lensing performed for this sample.

8 pages, 5 figures, 1 table. Submitted to A&A

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