Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-09-04
Physics
High Energy Physics
High Energy Physics - Phenomenology
3 pages, using macro ws-p10x7.cls. Talk given at 30th International Conference on High-Energy Physics (ICHEP 2000), 27 Jul - 2
Scientific paper
We show how the nearly bi-maximal mixing scenario comes out naturally from gauged $SO(3)_{F}$ flavor symmetry via spontaneous symmetry breaking. An interesting relation between the neutrino mass-squared differences and the mixing angle, i.e., $\Delta m_{\mu e}^2 / \Delta m_{\tau\mu}^2 \simeq 2|U_{e 3}|^2 $ is obtained. The smallness of the ratio (or $|U_{e 3}|$) can also naturally be understood from an approximate permutation symmetry. Once the mixing element $|U_{e 3}|$ is determined, such a relation will tell us which solution will be favored within this model. The model can also lead to interesting phenomena on lepton-flavor violations.
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