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

In this work we update the bounds on m_ from latest publicly available cosmological data and likelihoods using Bayesian analysis, while explicitly considering particular neutrino mass hierarchies. In the minimal + m_ 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_<0. 12 eV (degenerate), m_<0. 15 eV (normal), m_<0. 17 eV (inverted). The bounds vary across the different mass orderings due to different priors on m_. Also, we find that the normal hierarchy is very mildly preferred relative to the inverted, using both minimum ² values and Bayesian Evidence ratios. In this paper we also provide bounds on m_ considering different hierarchies in various extended cosmological models: + m_+r, wCDM+ m_, w₀ wₐ CDM+ m_, w₀ wₐ CDM+ m_ with w (z) -1, CDM + m_ + ₖ, and CDM + m_ + A₋₄₍ₒ. We do not find any strong evidence of normal hierarchy over inverted hierarchy in the extended models either.