We constrain the deviation of adiabatic evolution of the Universe using the data on the Cosmic Microwave Background ( CMB ) temperature anisotropies measured by the 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| \leq 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 .