Testing dynamical vacuum models with CMB power spectrum from Planck

The cosmic expansion is computed for various dynamical vacuum models $Lambda(H)$ and confronted to the Cosmic Microwave Background (CMB) power spectrum from Planck. We also combined CMB in a joint analysis with other probes in order to place constraints on the cosmological parameters of the dynamical vacuum models. We find that all $Lambda(H)$ models are very efficient and in very good agreement with the data. Considering that the interaction term of the dark sector is given in terms of matter and radiation densities, we find that the corresponding $Lambda(H)$ model shows a small but non-zero deviation from $Lambda$ cosmology, nevertheless the confidence level is close to $sim 2.5sigma$.