Cosmological constraints on neutrino mass within consistent cosmological models

Recently, the emergence of cosmological tension has raised doubts about the consistency of the Lambda CDM model. In order to constrain the neutrino mass within a consistent cosmological framework, we investigate three massive neutrinos with normal hierarchy (NH) and inverted hierarchy (IH) in both the axion-like EDE (Axi-EDE) model and the AdS-EDE model. We use the joint datasets including cosmic microwave background (CMB) power spectrum from Planck 2018, Pantheon of type Ia supernova, baryon acoustic oscillation (BAO) and H-0 data from SH0ES. For the nu Axi-EDE model, we obtain Sigma mv,NH < 0.152 eV and Sigma mv,IH < 0.178 eV, while for the nu AdS-EDE model, we find Sigma mv,NH < 0.135 eV and Sigma mv,IH < 0.167 eV. Our results exhibit a preference for the normal hierarchy in both the nu Axi-EDE model and the nu AdS-EDE model.