Neutrino phenomenology in a left-right $D_4$ symmetric model

We present a minimal left-right symmetric flavor model and analyze the predictions for the neutrino sector. In this scenario, the Yukawa sector is shaped by the dihedral $D_4$ symmetry which leads to correlations for the neutrino mixing parameters. We end up with the four possible solutions within this model. We further analyzed the impact of the upcoming long-baseline neutrino oscillation experiment, DUNE. Due to its high sensitivity, it has been observed that the DUNE will be able to rule out two of the solutions. Finally, the predictions for the neutrinoless double beta decay and the lepton flavor violating process $\mu \to e\gamma$ for the model have also been examined.

Figure 1

Allowed parameter space in (${\sin }^2{\theta }_{23}-\delta$) plane for the four-solutions. Various colors viz, light-red, light-blue, light-green, and light-pink show correlation for $\mathrm{A}=(+,-)$, $\mathrm{B}=(-,-)$, $\mathrm{C}=(+,+)$, and $\mathrm{D}=(-,+)$, respectively. The solid contours for the left (right)-panel depicts the allowed region for “global-fit data” (“simulated results of DUNE”) corresponding the latest best-fit value as shown by black-dot.

Figure 2

The effective Majorana neutrino mass $|⟨m_{ee}⟩|$ vs the lightest neutrino mass $m_{\text{light}}$. The prediction for the solutions B, C, and D are shown by the color codes, which are same as the one used in Fig. 1. Moreover, the latest upper bound on $|⟨m_{ee}⟩|$ from the KamLAND-Zen collaboration are shown by the dark-yellow horizontal band. Also, the current results on the lightest neutrino mass is shown by the light green-vertical band from the Planck Collaboration which gives $\sum m_{\nu }<0.12\mathrm{eV}$ at the 95% C.L.