We investigate how the dark energy properties impact the constraints on the total neutrino mass in interacting dark energy ( IDE ) models .
In this study , we focus on two typical interacting dynamical dark energy models , i.e. , the interacting w cold dark matter ( I w CDM ) model and the interacting holographic dark energy ( IHDE ) model .
To avoid the large-scale instability problem in IDE models , we apply the parameterized post-Friedmann approach to calculate the perturbation of dark energy .
We employ the Planck 2015 cosmic microwave background temperature and polarization data , combined with low-redshift measurements on baryon acoustic oscillation distance scales , type Ia supernovae , and the Hubble constant , to constrain the cosmological parameters .
We find that the dark energy properties could influence the constraint limits on the total neutrino mass .
Once dynamical dark energy is considered in the IDE models , the upper bounds of \sum m _ { \nu } will be changed .
By considering the values of \chi ^ { 2 } _ { min } , we find that in these IDE models the normal hierarchy case is slightly preferred over the inverted hierarchy case ; for example , \Delta \chi ^ { 2 } = 2.720 is given in the IHDE+ \sum m _ { \nu } model .
In addition , we also find that in the I w CDM+ \sum m _ { \nu } model \beta = 0 is consistent with current observational data inside the 1 \sigma range , and in the IHDE+ \sum m _ { \nu } model \beta > 0 is favored at more than 2 \sigma level .