It has been recently suggested [Z. Berezhiani, A. D. Dolgov, and I. I. Tkachev, Phys. Rev. D 92, 061303 (2015)] 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 a 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 the CMB and conflicting low-$z$ measurements, we obtain that the model with $F\approx 2\%–5\%$ exhibits better fit (by $1.5–3\sigma$ depending on the lensing priors) compared to that of the concordance $\mathrm{\Lambda }\mathrm{CDM}$ cosmological model.

• Received 6 March 2016

DOI:https://doi.org/10.1103/PhysRevD.94.023528