Combining Planck and SPT cluster catalogs: cosmological analysis and
  impact on Planck scaling relation calibration
  We provide the first combined cosmological analysis of 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 $\nu \Lambda$CDM scenario, focusing on the mass
slope and mass bias of Planck scaling relations, we find $\alpha_{\text{SZ}} =
1.49 _{-0.10}^{+0.07}$ and $(1-b)_{\text{SZ}} = 0.69 _{-0.14}^{+0.07}$
respectively. The results for the mass slope show a $\sim 4 \, \sigma$
departure from the self-similar evolution, $\alpha_{\text{SZ}} \sim 1.8$. This
shift is mainly driven by the matter density value preferred by SPT data,
$\Omega_m = 0.30 \pm 0.03$, 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,
$(1-b) \sim 0.8$, and with results required by the Planck cosmic microwave
background cosmology, $(1-b) \sim 0.6$. From this analysis, we obtain a new
catalog of Planck cluster masses $M_{500}$. We estimate the relation between
the published Planck derived $M_{\text{SZ}}$ masses and our derived masses, as
a measured mass bias. We analyse the mass, redshift and detection noise
dependence of this quantity, finding an increasing trend towards 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 high-z regimes.
