the neutrino Majorana masses are the ones corresponding to the first benchmark point in Tab. \[tab:chig\]. We have also provided these charged Higgs boson masses and mixings in details in Appendix A. This is quite different from other left-right symmetric models where the right-handed neutrino is naturally heavy as its mass is proportional to the right-handed symmetry breaking scale.

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7.03$\times 10^{-5}~\text{eV}^2$ $<\Delta m_{21}^2<$ 8.09$\times 10^{-5}~\text{eV}^2$\

2.407$\times 10^{-3}~\text{eV}^2$ $<\Delta m_{31}^2<$ 2.643$\times 10^{-3}~\text{eV}^2$\

$0.271<\sin^2{\theta_{12}}<0.345$\

$0.385<\sin^2{\theta_{23}}<0.635$\

$0.01934<\sin^2{\theta_{13}}<0.02392$\

$U_{PMNS}$ $$\begin{pmatrix}

0.800 \rightarrow 0.844 & 0.515 \rightarrow 0.581 & 0.139 \rightarrow 0.155 \\

0.229 \rightarrow 0.516 & 0.438 \rightarrow 0.699 & 0.614 \rightarrow 0.790 \\

0.249 \rightarrow 0.528 & 0.462 \rightarrow 0.715 & 0.595 \rightarrow 0.776\end{pmatrix}$$\

![Scatter plot of neutrino Dirac mass matrix elements $M^D_{\nu_{ij}}$ (denoted by $M_{\nu_{ij}}$ in the figure) satisfying the neutrino oscillation data in Table \[tab:neut\].[]{data-label="fig:nyuk"}](Yukd.pdf){width="4.5in"}

For our subsequent analysis, we choose $\lambda'_R \sim \mathcal{O}(1)$. Since we use a type-I seesaw-like structure for the neutrino mass, the Dirac Yukawa couplings $Y^l$ in Eq. \[eq:fmass\] are chosen accordingly to satisfy the correct neutrino oscillation parameters, given in Table \[tab:neut\]. As an illustrative example, we consider a normal hierarchy spectrum in light neutrino sector. The allowed values for the elements of Dirac mass 