Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-02-15
JHEP 0006 (2000) 039
Physics
High Energy Physics
High Energy Physics - Phenomenology
24 pages; v3: significant improvements and modifications, particularly in the three generation analysis
Scientific paper
10.1088/1126-6708/2000/06/039
Three of the viable solutions of the solar neutrino problem are consistent with close to maximal leptonic mixing: $\sin^2\theta_{12}={1\over2}(1-\epsilon_{12})$ with $|\epsilon_{12}|\ll1$. Flavor models can naturally explain close to maximal mixing if approximate horizontal symmetries force a pseudo-Dirac structure on the neutrino mass matrix. An experimental determination of $|\epsilon_{12}|$ and sign($\epsilon_{12}$) can constrain the structure of the lepton mass matrices and consequently provide stringent tests of such flavor models. If both $|\epsilon_{12}|$ and $\Delta m^2_{21}$ are known, it may be possible to estimate the mass scale of the pseudo-Dirac neutrinos. Radiative corrections to close to maximal mixing are negligible. Subtleties related to the kinetic terms in Froggatt-Nielsen models are clarified.
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