Update constraints on neutrino mass and mass hierarchy in light of dark
  energy models
  Combining cosmic microwave background (CMB) data from Planck satellite data,
Baryon Acoustic Oscillations (BAO) measurements and Type Ia supernovae (SNe Ia)
data, we obtain the bounds on total neutrino masses $M_\nu$ with the
approximation of degenerate neutrino masses and for three dark energy models:
the cosmological constant ($\Lambda$CDM) model, a phenomenological emergent
dark energy (PEDE) model and a model-independent quintessential
parameterization (HBK). The bounds on the sum of neutrino masses $M_\nu$ depend
on the dark energy (DE) models. In the HBK model, we confirm the conclusion
from some previous work that the quintessence prior of dark energy tends to
tighten the cosmological constraint on $M_\nu$. On the other hand, the PEDE
model leads to larger $M_\nu$ and a nonzero lower bound. Besides, we also
explore the correlation between three different neutrino hierarchies and dark
energy models.
