Implication of neutrino mass model based on $\Delta$(27) discrete flavor symmetry, on parameters of neutrino oscillations, CP violation and effective neutrino masses is studied using type-I seesaw mechanism. The Standard Model particle content is extended by adding two additional Higgs doublets, three right-handed neutrinos and two scalar triplets under $\Delta$(27) symmetry predicting diagonal charged lepton mass matrix. This can generate the desired deviation from $\mu - \tau$ symmetry. The resulting neutrino oscillation parameters are well agreed with the latest global fit oscillation data. The sum of the three absolute neutrino mass eigenvalues, $\sum\limits_{ i}|m_{ i}|$ (i=1,2,3) is found to be consistent with that of the value given by latest Planck cosmological data, $\sum\limits_{ i}|m_{ i}|<$0.12 eV. The model further predicts effective neutrino masses for neutrinoless double beta decay, 4.15 meV $\leq m_{ ee}\leq$ 30.6 meV, tritium beta decay, 8.4 meV $\leq m_{ \beta}\leq$ 30.5 meV, Jarlskog invariant, $J_{ CP}=\pm 0.022$ for CP violation, baryon asymmetry $Y_{ B}=1.15 \times 10^{ -10}$ for normal hierarchical case; and also 49.5 meV $\leq m_{ ee}\leq$ 51.7 meV, 49.5 meV $\leq m_{ \beta}\leq$ 51.4 meV, $J_{ CP}=\pm 0.022$, $Y_{ B}=1.12\times 10^{ -10}$ for inverted hierarchical case respectively.
Categories: hep-ph