Dark matter component decaying after recombination: lensing constraints
  with Planck data
  It has been recently suggested~\cite{Berezhiani:2015yta} that emerging
tension between cosmological parameter values derived in high-redshift (CMB
anisotropy) and low-redshift (cluster counts, Hubble constant) measurements can
be reconciled in a model which contains subdominant fraction of dark matter
decaying after recombination. We check the model against the CMB Planck data.
We find that lensing of the CMB anisotropies by the large-scale structure gives
strong extra constraints on this model, limiting the fraction as $F<8\%$ at
2\,$\sigma$ confidence level. However, investigating the combined data set of
CMB and conflicting low-$z$ measurements, we obtain that the model with
$F\approx2\!-\!5$\% exhibits better fit (by 1.5-3\,$\sigma$ depending on the
lensing priors) compared to that of the concordance $\Lambda$CDM cosmological
model.
