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

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 cold dark matter (CDM) cosmological model. Methods. We measured the 2PCF of the sample in the cluster-centric radial range r [5,80] h-1 Mpc, considering 4934 galaxy clusters with richness λ∗¥ 15 in the redshift range z [0.1,0.6]. A Markov chain Monte Carlo analysis has been performed to constrain the cosmological parameters Ωm, 8, and S8 8(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, 8=0.82+0.14-0.12, and S8=0.80+0.08-0.08. The constraint on S8 is consistent within 1 with the results from WMAP and Planck. Furthermore, by fixing the cosmological parameters to those provided by Planck, we obtained α = 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.