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- W2964207875 abstract "Experimental data have provided stringent constraints on neutrino mixing parameters. In the standard parameterization the mixing angle $theta_{23}$ is close to $pi/4$. There are also evidences show that the CP violating phase is close to $-pi/2$. We study neutrino mass matrix reconstructed using this information and find several interesting properties. We show that a theoretical model based on the $A_4$ symmetry naturally predicts $delta = -pi/2$ and $theta_{23} = pi/4$ when the Yukawa couplings and scalar vacuum expectation values are real reaching a $mu-tau$ exchange and CP conjugate symmetry limit. In this case CP violation solely comes from the complex group theoretical Clebsh-Gordan coefficients. The model also predicts $|V_{e2}|=1/sqrt{3}$ consistent with data. With complex Yukawa couplings the values for $delta$ and $theta_{23}$ can be significantly deviate away from the symmetry values $-pi/2$ and $pi/4$, respectively. But $|V_{e2}|= 1/sqrt{3}$ is not altered. This matrix is an excellent lowest order approximation for theoretical model buildings of neutrino mass matrix." @default.
- W2964207875 created "2019-07-30" @default.
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- W2964207875 date "2015-04-07" @default.
- W2964207875 modified "2023-09-23" @default.
- W2964207875 title "A Model of Neutrino Mass Matrix With $delta = -pi/2$ and $theta_{23} = pi/4$" @default.
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