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In recent years discrepancies have emerged in measurements of the present-dayrate of expansion of the universe $H_0$ and in estimates of the clustering ofmatter $S_8$. Using the most recent cosmological observations we reexamine anovel model proposed to address these tensions, in which cold dark matterdisintegrates into dark radiation. The disintegration process is controlled byits rate $Q = \alpha \mathcal{H} \rho_{\rm ddm}$, where $\alpha$ is a(constant) dimensionless parameter quantifying the strength of thedisintegration mechanism and $\mathcal{H}$ is the conformal Hubble rate in thespatially flat Friedmann-Lema\^{i}tre-Robertson-Walker universe and $\rho_{\rmddm}$ is the energy density of the disintegrating cold dark matter. Weconstrain this model with the latest 2018 Planck temperature and polarizationdata, showing that there is no evidence for $\alpha \neq 0$ and that it cannotsolve the $H_0$ tension below $3\sigma$, clashing with the result obtained byanalyzing the Planck 2015 temperature data. We also investigate two possibleextensions of the model in which the dark energy equation-of-state parameter $w\neq -1$. In this case it is possible to combine Planck data with the SH0ESmeasurement, and we demonstrate that in both these models the $H_0$ tension isresolved at the $1\sigma$ level, but the condition $w \neq -1$ exacerbates the$S_8$ tension. We also demonstrate that the addition of intermediate-redshiftdata (from the Pantheon supernova type Ia dataset and baryon acousticoscillations) weakens the effectiveness of all these models to address the$H_0$ and $S_8$ tensions.

journal of cosmology and astroparticle physics

Constraints from High-Precision Measurements of the Cosmic Microwave  Background: The Case of Disintegrating Dark Matter with ${\Lambda}$ or  Dynamical Dark Energy