Cosmological constraints on neutrino mass within consistent cosmological models

Recently,the emergence of cosmological tension has raised doubts about the consistency of the ACDM model.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 early dark energy（AxiEDE） and AdS-EDE models.We use joint datasets including the cosmic microwave background power spectrum from Plaanck 2018,Pantheon of type la supernova,baryon acoustic oscillation,and H0 data from SH0ES.For the vAxi-EDE model,we obtain ∑mv,NH <0.152 eV and ∑mv,IH <0.178 eV,whereas for the vAdS-EDE model,we find∑mv,NH <0.135 eV and ∑mv,IH <0.167 eV.Our results exhibit a preference for NH in both the vAxi-EDE and vAdS-EDE models.