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CMB temperature power spectrum for a variety of models, all with the same parameters $\{100\,\theta_s, \omega_\mathrm{dcdm}^\mathrm{ini}, \omega_\mathrm{b}, \ln(10^{10} A_s), n_s, \tau_\mathrm{reio} \} = \{1.04119, 0.12038, 0.022032, 3.0980, 0.9619, 0.0925\}$ taken from the Planck+WP best fit~\cite{Ade:2013zuv}. For all models except the ``Decaying CDM'' one, the decay rate $\Gamma_\mathrm{dcdm}$ is set to zero, implying that the ``dcdm'' species is equivalent to standard cold DM with a present density $\omega_\mathrm{cdm} = \omega_\mathrm{dcdm}^\mathrm{ini} = 0.12038$. The ``Decaying CDM'' model has $\Gamma_\mathrm{dcdm}=20\,\mbox{km s}^{-1}\mbox{Mpc}^{-1}$, the ``Tensors'' model has $r=0.2$, and the ``Open'' (``Closed'') models have $\Omega_k = 0.02$ ($-0.2$). The main differences occur at low multiples and comes from either different late ISW contributions or non-zero tensor fluctuations.

The single contributions to the CMB temperature spectrum (Sachs-Wolfe, early and late Integrated Sachs-Wolfe, Doppler and polarisation-induced) for a stable model (solid) and a dcdm model (dashed) with $\Gamma_\mathrm{dcdm}=100$~km/s/Mpc. The value of other parameters is set as in Figure~\ref{fig:cltot}. We see that only the late ISW effect is sensitive to the decay rate (for other contributions, solid and dashed lines are indistinguishable).

Matter power spectrum $P(k)$ (computed in the Newtonian gauge) for the same models considered in Figure~\ref{fig:cltot}. The black curve (Stable CDM) is hidden behind the red one (Tensors).

Comparison of the results for $\{ \omega_\mathrm{dcdm+dr}, \Gamma_\mathrm{dcdm}, r \}$ for the $\Lambda$CDM + $\{\Gamma_\mathrm{dcdm}, r \}$ model for the 1-d and 2-d posterior distributions, using the dataset set $A$ (blue contours) and $B$ (yellow/orange contours). The contours represent 68\% and 95\% confidence levels.

For the $\Lambda$CDM + $\{\Gamma_\mathrm{dcdm}, r, \Omega_k \}$ model, comparison of the results for $\{ \omega_\mathrm{dcdm+dr}, \Gamma_\mathrm{dcdm}, r, \Omega_k \}$ using the dataset set $A$ (blue contours) and $B$ (yellow/orange contours), for the 1d and 2d posterior distributions. The contours represent 68\% and 95\% confidence levels.