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 Lambda cold dark matter (Lambda CDM) cosmological model.Methods. We measured the 2PCF of the sample in the cluster-centric radial range r is an element of [5; 80] h (-1) Mpc, considering 4934 galaxy clusters with richness lambda* >= 15 in the redshift range z is an element of [0:1; 0:6]. A Markov chain Monte Carlo analysis has been performed to constrain the cosmological parameters Omega(m), sigma(8), and S-8 equivalent to sigma(8)( Omega(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, ff, with fixed cosmological parameters.Results. We obtained Omega(m) = 0 :28+0:05 0:04, sigma(8) = 0 :82+0:14 0:12, and sigma(8) = 0 :80+0:08 0:08. The constraint on S 8 is consistent within 1 alpha 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.