Updated results on neutrino mass and mass hierarchy from cosmology with Planck 2018 likelihoods

In this work we update the bounds on ∑ m_ν from latest publicly available cosmological data and likelihoods using Bayesian analysis, while explicitly considering particular neutrino mass hierarchies. In the minimal ΛCDM + ∑ m_ν model with most recent CMB data from Planck 2018 TT,TE,EE, lowE, and lensing; and BAO data from BOSS DR12, MGS, and 6dFGS, we find that at 95% C.L. the bounds are: ∑ m_ν<0.12 eV (degenerate), ∑ m_ν<0.15 eV (normal), ∑ m_ν<0.17 eV (inverted). The bounds vary across the different mass orderings due to different priors on ∑ m_ν. Also, we find that the normal hierarchy is very mildly preferred relative to the inverted, using both minimum χ² values and Bayesian Evidence ratios. In this paper we also provide bounds on ∑ m_ν considering different hierarchies in various extended cosmological models: ΛCDM + ∑ m_ν+r, wCDM+∑ m_ν, w₀ w_a CDM+∑ m_ν, w₀ w_a CDM+∑ m_ν with w(z)⩾ −1, Λ CDM + ∑ m_ν + Ω_k, and Λ CDM + ∑ m_ν + A_Lens. We do not find any strong evidence of normal hierarchy over inverted hierarchy in the extended models either.