We provide the first combined cosmological analysis of the South Pole Telescope (SPT) and Planck cluster catalogs. The aim is to provide an independent calibration for Planck scaling relations, exploiting the cosmological constraining power of the SPT-SZ cluster catalog and its dedicated weak lensing (WL) and X-ray follow-up observations. We build a new version of the Planck cluster likelihood. In the v Delta CDM scenario, focusing on the mass slope and mass bias of Planck scaling relations, we find alpha(SZ) = 1.49(-0.10)(+0.07) and (1-b)(SZ) = 0.69(-0.14)(+0.07), respectively. The results for the mass slope show a similar to 4 sigma departure from the self-similar evolution, alpha(SZ) similar to 1.8. This shift is mainly driven by the matter density value preferred by SPT data, Omega(m) = 0.30 +/- 0.03, lower than the one obtained by Planck data alone, Omega(m)=0.37(-0.06)(+0.02). The mass bias constraints are consistent both with outcomes of hydrodynamical simulations and external WL calibrations, (1 - b) similar to 0.8, and with results required by the Planck cosmic microwave background cosmology, (1 - b) similar to 0.6. From this analysis, we obtain a new catalog of Planck cluster masses M-500. We estimate the ratio between the published Planck M-SZ masses and our derived masses M-500, as a "measured mass bias," (1 - b)(M). We analyze the mass, redshift, and detection noise dependence of (1 - b)(M), finding an increasing trend toward high redshift and low mass. These results mimic the effect of departure from self-similarity in cluster evolution, showing different dependencies for the low-mass, high-mass, low-z, and high-z regimes.
