Impacts of dark energy on constraining neutrino mass after Planck 2018

Considering the mass splittings of three active neutrinos, we investigate how the properties of dark energy affect the cosmological constraints on the total neutrino mass Sigma m(nu) using the latest cosmological observations. In this paper, several typical dark energy models, including Lambda CDM, wCDM, CPL, and HDE models, are discussed. In the analysis, we also consider the effects from the neutrino mass hierarchies, i.e. the degenerate hierarchy (DH), the normal hierarchy (NH), and the inverted hierarchy (IH). We employ the current cosmological observations to do the analysis, including the Planck 2018 temperature and polarization power spectra, the baryon acoustic oscillations (BAO), the type Ia supernovae (SNe), and the Hubble constant H-0 measurement. In the Lambda CDM+ Sigma m(nu) model, we obtain the upper limits of the neutrino mass Sigma m(nu) < 0.123 eV (DH), Sigma m(nu) < 0.156 eV (NH), and Sigma m(nu) < 0.185 eV (IH) at the 95% C.L., using the Planck+BAO+SNe data combination. For the wCDM+Sigma m(nu) model and the CPL+Sigma m(nu) model, larger upper limits of Sigma m(nu) are obtained compared to those of the Lambda CDM+Sigma m(nu) model. The most stringent constraint on the neutrino mass, Sigma m(nu) < 0.080 eV (DH), is derived in the HDE+Sigma m(nu) model. In addition, we find that the inclusion of the local measurement of the Hubble constant in the data combination leads to tighter constraints on the total neutrino mass in all these dark energy models.