Mass bias and cosmological constraints from Planck cluster clustering

Aims. We analysed the 3D clustering of the Planck sample of Sunyaev-Zeldovich (SZ) selected galaxy clusters, focusing on the redshift-space two-point correlation function (2PCF). We compared our measurements to theoretical predictions of the standard Delta cold dark matter (Delta CDM) cosmological model, deriving an estimate of the Planck mass bias, b(SZ), and cosmological parameters.Methods. We measured the 2PCF of the sample in the cluster-centric radial range r is an element of[10, 150] h(-1) Mpc, considering 920 galaxy clusters with redshift z <= 0.8. Delta Markov chain Monte Carlo analysis was performed to constrain b(SZ), assuming priors on cosmological parameters from Planck cosmic microwave background (CMB) results. We also adopted priors on b(SZ) from external data sets to constrain the cosmological parameters Omega(m) and sigma(8).Results. We obtained (1-b(SZ)) 0.62(-0.11)(+0.14), which agrees with the value required to reconcile primary CMB and cluster count observations. By adopting priors on (1 - b(SZ)) from external data sets, we derived results on Omega(m) that fully agree and are competitive, in terms of uncertainties, with those derived from cluster counts. This confirms the importance of including clustering in cosmological studies in order to fully exploit the information from galaxy cluster statistics. On the other hand, we found that sigma(8) is not constrained.