Relations between Neutrino and Charged Fermion Masses

We find an intriguing relation between neutrino and charged fermion masses, $|m_{ν_3^{}}^2- m_{ν_1^{}}^2| : (m_{ν_2^{}}^2- m_{ν_1^{}}^2):: V_{tb}^4 m_τ^2 m_b^2/m_t^2 : V_{cs}^4 m_μ^2 m_s^2/m_c^2$. We further indicate this relation can be predicted by a left-right symmetric model.

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