Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-07-03
Phys.Rev. D62 (2000) 093012
Physics
High Energy Physics
High Energy Physics - Phenomenology
8 pages, Latex
Scientific paper
10.1103/PhysRevD.62.093012
We propose a model which uses the seesaw mechanism and the lepton number $\bar L = L_e - L_\mu - L_\tau$ to achieve the neutrino mass spectrum $m_1 = m_2$ and $m_3 = 0$, together with a lepton mixing matrix $U$ with $U_{e3} = 0$. In this way, we accommodate atmospheric neutrino oscillations. A small mass splitting $m_1 > m_2$ is generated by breaking $\bar L$ spontaneously and using Babu's two-loop mechanism. This allows us to incorporate ``just so'' solar-neutrino oscillations with maximal mixing into the model. The resulting mass matrix has three parameters only, since $\bar L$ breaking leads exclusively to a non-zero $ee$ matrix element.
Grimus Walter
Lavoura Luis
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