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

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Aims.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 Λ cold dark matter (ΛCDM) cosmological model. Methods.We measured the 2PCF of the sample in the cluster-centric radial ranger ∈ [5, 80]h−1Mpc, considering 4934 galaxy clusters with richnessλ* ≥ 15 in the redshift rangez ∈ [0.1, 0.6]. A Markov chain Monte Carlo analysis has been performed to constrain the cosmological parameters Ωm,σ8, andS8 ≡ σ8(Ωm/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,α, with fixed cosmological parameters. Results.We obtained Ωm= 0.28+0.05−0.04,σ8= 0.82+0.14−0.12, andS8= 0.80+0.08−0.08. The constraint onS8is consistent within 1σwith the results from WMAP andPlanck. Furthermore, by fixing the cosmological parameters to those provided byPlanck, we obtainedα= 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.

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