Constraining the redshift evolution of the Cosmic Microwave Background
  black-body temperature with PLANCK data
  We constrain the deviation of adiabatic evolution of the Universe using the
data on the Cosmic Microwave Background (CMB) temperature anisotropies measured
by the {\it Planck} satellite and a sample of 481 X-ray selected clusters with
spectroscopically measured redshifts. To avoid antenna beam effects, we bring
all the maps to the same resolution. We use a CMB template to subtract the
cosmological signal while preserving the Thermal Sunyaev-Zeldovich (TSZ)
anisotropies; next, we remove galactic foreground emissions around each cluster
and we mask out all known point sources. If the CMB black-body temperature
scales with redshift as $T(z)=T_0(1+z)^{1-\alpha}$, we constrain deviations of
adiabatic evolution to be $\alpha=-0.007\pm 0.013$, consistent with the
temperature-redshift relation of the standard cosmological model. This result
could suffer from a potential bias $\delta\alpha$ associated with the CMB
template, that we quantify it to be $|\delta\alpha|\le 0.02$ and with the same
sign than the measured value of $\alpha$, but is free from those biases
associated with using TSZ selected clusters; it represents the best constraint
to date of the temperature-redshift relation of the Big-Bang model using only
CMB data, confirming previous results.
