AbstractIn this paper, we investigate the constraints on the total neutrino mass $$\sum m_{\nu }$$
∑
m
ν
in a cosmological model in which dark energy and neutrinos are coupled such that the mass of the neutrinos and potentials are function of the scalar field as $$m_{\nu }=m_{0}\exp (\frac{\alpha \phi }{m_{pl}})$$
m
ν
=
m
0
exp
(
α
ϕ
m
pl
)
and $$V(\phi )=m_{pl}^{4}\exp (\frac{-\lambda \phi }{m_{pl}})$$
V
(
ϕ
)
=
m
pl
4
exp
(
-
λ
ϕ
m
pl
)
respectively. The observational data used in this work include the type Ia supernovae (SN) observation (Pantheon compilation), CC, CMB and BAO data. We find that the neutrino mass is tightly constrained to $$\sum m_{\nu }< 0.125$$
∑
m
ν
<
0.125
eV 95% Confidence Level (C.L.) and the effective extra relativistic degrees of freedom to be $$N_{eff}=2.955^{+0.11}_{-0.12}$$
N
eff
=
2
.
955
-
0.12
+
0.11
68% C.L in agreement with the Standard Model prediction $$ N_{eff} = 3.046$$
N
eff
=
3.046
, matter-radiation equality, $$z_{eq}=3389^{+24}_{25}$$
z
eq
=
3389
25
+
24
(68% C.L). These results are in good agreement with the results of Planck 2018 where the limit of the total neutrino mass is $$\sum m_{\nu }<0.12$$
∑
m
ν
<
0.12
eV (95% C.L., TT, TE, EE + lowE + lensing + BAO) , $$N_{eff}=2.99^{+0.17}_{-0.17}$$
N
eff
=
2
.
99
-
0.17
+
0.17
(68% C.L., TT, TE, EE + lowE + lensing + BAO) and $$z_{eq}=3387^{+21}_{21}$$
z
eq
=
3387
21
+
21
(68% C.L TT, TE, EE + lowE + lensing + BAO).
Constraining neutrino mass and dark energy with peculiar velocities and lensing dispersions of Type Ia supernovae