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

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

2000-06-24

arxiv.org/abs/hep-ph/0006281v1

Mod.Phys.Lett. A15 (2000) 2257-2264

Physics

High Energy Physics

High Energy Physics - Phenomenology

7pages, no figure

Scientific paper

10.1142/S0217732300002838

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 $\sin^2 2 \theta_{12}$ 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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