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Is $U_{e3}$ really related to the solar neutrino solutions?

N. Haba·Tomoharu Suzuki
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Abstract

It has been said that the measurements of $U_{e3}$ in the lepton flavor mixing matrix would help discriminate between the possible solar neutrino solutions under the natural conditions with the neutrino mass hierarchies of $m_1 \ll m_2 \ll m_3$ and $m_1 \sim m_2 \gg m_3$, where $m_i$ is the $i$-th generation neutrino absolute mass. However, it is not true, and the relation between $\sin^2 2 θ_{12}$ and $U_{e3}$ obtained by Akhmedov, Branco, and Rebelo is trivial in actual. We show in this paper that the value of $U_{e3}$ cannot predict the solar neutrino solutions without one additional nontrivial condition.

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N. Haba, Tomoharu Suzuki. 2000-06-24. Is $U_{e3}$ really related to the solar neutrino solutions?. https://doi.org/10.1142/s0217732300002838

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