Abstract In the present work we analyze two different models of interaction between dark energy and dark matter, also known as vacuum decay models or (t) Λ (t) CDM models. In both models, when the H₀ H 0 parameter is constrained by high-redshift data as the Planck distance priors (CMB) and transversal BAO, its value is compatible with a higher value of H₀ H 0, in agreement with low-redshift data, as Pantheon+ &SH0ES (PS) and Cosmic Chronometers (CC). For one of the models, only a mild 2. 1 ∼ 2. 1 σ tension is found for ₘ Ω m, which at least is an alleviation to the 5 ≳ 5 σ H₀ H 0 tension in the context of standard Λ CDM model. We find H₀=71. 63 0. 60 H 0 = 71. 63 ± 0. 60 km/s/Mpc for one model and H₀=71. 67 0. 60 H 0 = 71. 67 ± 0. 60 km/s/Mpc for the other one, by combining CC+PS+BAO+CMB. We also find the decay parameter to be =0. 0162^+0. 0029-₀. ₀₀₂₆ ϵ = 0. 0162 - 0. 0026 + 0. 0029 for one model and =0. 0209 0. 0036 ϵ = 0. 0209 ± 0. 0036 for the other one. All constraints are at 68% c. l. From these analyses, a noninteracting model is excluded at least at 5. 8 5. 8 σ c. l. We shall emphasize, however, that this result comes from an analysis that involves an approximated treatment to CMB, the Planck distance priors, as mentioned above. We have also verified that if the SH0ES prior is not included, the evidence for an interacting model decreases from 5. 8 5. 8 σ to 4 4 σ, a result closer to other recent works in the literature. This shows that these types of models are promising in solving or at least alleviating the H₀ H 0 tension problem.
Brito et al. (2025) studied this question.