Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1993-11-19
Physics
High Energy Physics
High Energy Physics - Phenomenology
20pages, plain LaTeX, JHU-TIPAC-930023
Scientific paper
Motivated by the indication that both the Solar and the atmospheric neutrino puzzles may simultaneously be solved by (vacuum as well as matter-induced resonant) oscillations of two generations of neutrinos with large mixing, we have analyzed the data on the Solar and atmospheric neutrinos assuming that all {\it three} neutrinos are maximally mixed. It is shown that the results of two-generation analyses are still valid even in the three-generation scheme, {\it i.e.}, the two puzzles can be solved simultaneously if $\Delta m_{21}^2 = m_2^2-m_1^2\simeq 10^{-10}\mbox{eV}^2$ and $\Delta m_{31}^2 = 10^{-3}\sim 10^{-1}\mbox{eV}^2$. We have also demonstrated explicitly that with the use of the see-saw mechanism it is possible to have large or maximal mixings for neutrinos even though their masses are highly non-degenerate.
Kim Chung Wook
Lee Jeong Ae
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