SIMBAD references

We present a precise analysis to test hypothetical models involving sterile neutrinos beyond the standard flat-ΛCDM cosmology with the CMB observations from the Planck mission and BAO measurements. This analysis shows that adding the locally measured Hubble parameter H₀ = 73.00 ± 1.75 km s^–1 Mpc^–1 to the data removes the need for the informative physical m_ sterile_^ thermal^ prior in CMB constraints of m_ν, sterile_^ eff^. Under the constraints from the data containing the locally measured H₀ we obtain an upper limit m_ν, sterile_^ eff^ < 0.306 eV scale mass for the massive sterile neutrino, and an upper limit Σm_ν < 0.214 eV scale mass for the three degenerate massive neutrino (95 per cent confidence level). We also obtain the value σ₈ = 0.81^+0.05_–0.06 (95 per cent confidence level), which is in compatibility with the constraints from Planck 2015 CMB data at the 1σ level. We find that introducing parameter m_ν, sterile_^ eff^ to the model of cosmology reduces the σ₈ value and moves it closer to the obtained value for this parameter from the KiDS-450 analysis. Our results show that the locally measured Hubble parameter can increase constraints on σ₈ values.