A dark matter component decaying after recombination: lensing constraints with Planck data

It was recently proposed [1] that the model with a fraction of decaying cold dark matter is able to reconcile measurements in high redshift (CMB) and low redshift (probes of cluster abundance and the Hubble constant). We check this statement employing the full likelihood of CMB Planck data. We find that the lensing effect calculated from anisotropy spectra measured by Planck imposes the strong constraint on the fraction of unstable dark matter as F < 8% (2σ). However, combining the CMB data with conflicting measurements in low redshift we obtain that the model with F ≈ 2 − 5% improves the goodness-of-fit by 1.5 − 2σ depending on As and τ priors in comparison with the concordance ΛCDM model