Tensions between direct measurements of the lens power spectrum from
  Planck data
  We apply a recently developed method to directly measure the gravitational
lensing power spectrum from CMB power spectra to the Planck satellite data.
This method allows us to analyze the tension between the temperature power
spectrum and lens reconstruction in a model independent way. Even when allowing
for arbitrary variations in the lensing power spectrum, the tension remains at
the 2.4$\sigma$ level. By separating the lensing and unlensed high redshift
information in the CMB power spectra, we also show that under $\Lambda$CDM the
two are in tension at a similar level whereas the unlensed information is
consistent with lensing reconstruction. These anomalies are driven by the
smoother acoustic peaks relative to $\Lambda$CDM at $\ell \sim 1250 - 1500$.
Both tensions relax slightly when polarization data are considered. This
technique also isolates the one aspect of the lensing power spectrum that the
Planck CMB power spectra currently constrain and can be straightforwardly
generalized to future data when CMB power spectra constrain multiple aspects of
lensing which are themselves correlated with lensing reconstruction.
