\begin{document}$R \, m_{u,\nu}^{*} \, R = m_{u,\nu}, m_{d,e}^{*} = m_{d,e}$\end{document} with \begin{document}$R =$\end{document} diag \begin{document}$(-1,1,1)$\end{document}. These generalized \begin{document}$CP$\end{document} symmetries predict the Majorana phases to be \begin{document}$\alpha_{2,3} /2 \sim 0$\end{document} or \begin{document}$\pi /2$\end{document}. Realization of diagonal reflection symmetries implies a broken chiral \begin{document}$U(1)_{\rm{PQ}}$\end{document} symmetry only for the first generation. The axion scale is suggested to be \begin{document}$\langle {\theta_{u,d}} \rangle \sim \Lambda_{\rm{GUT}} \, \sqrt{m_{u,d} \, m_{c,s}} / v \sim 10^{12} $\end{document} [GeV]. By combining the symmetries with the four-zero texture, the mass eigenvalues and mixing matrices of quarks and leptons are reproduced well. This scheme predicts the normal hierarchy, the Dirac phase \begin{document}$\delta _{CP} \simeq 203^{\circ},$\end{document} and \begin{document}$|m_{1}| \simeq 2.5$\end{document} or \begin{document}$6.2 $\end{document} [meV]. In this scheme, the type-I seesaw mechanism and a given neutrino Yukawa matrix \begin{document}$Y_{\nu}$\end{document} completely determine the structure of the right-handed neutrino mass \begin{document}$M_{R}$\end{document}. A \begin{document}$u-\nu$\end{document} unification predicts the mass eigenvalues to be \begin{document}$ (M_{R1} \, , M_{R2} \, , M_{R3}) = (O (10^{5}) \, , O (10^{9}) \, , O (10^{14})) $\end{document} [GeV]."> Diagonal reflection symmetries and universal four-zero texture -
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