Assessing consistency between CMB temperature and polarization
  measurements, with application to Planck, ACT and SPT
  Planck's Cosmic Microwave Background temperature and polarization
observations are the premier dataset for constraining cosmological models.
Cosmic variance limited temperature at large and intermediate scales today
dominates the constraints; polarization provides additional constraining power
and further scrutiny of the models. To complete this picture from Planck,
ground-based experiments, such as the Atacama Cosmology Telescope (ACT) and the
South Pole Telescope (SPT) continue to add temperature and polarization
measurements at small scales, allowing for the extraction of competitive
cosmological constraints from the $TE$ and $EE$ power spectra. Matching at the
same time all these stringent probes is a key challenge and validation step for
any cosmological model. In particular, $\Lambda$CDM requires a tight
consistency between the temperature and polarization measurements. In this
paper, we present a number of methods to identify and quantify possible
inconsistencies between temperature and polarization, we apply them to the
latest Planck, ACT and SPT data and find no evidence for a deviation from
$\Lambda$CDM. Application of these methods will have increased importance for
future, more constraining CMB data.
