Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1994-01-17
Physics
High Energy Physics
High Energy Physics - Phenomenology
Talk given at the ``International School on Cosmological Dark Matter'' Valencia, Spain, October 4-8, 1993, Plain Tex, 8 pages
Scientific paper
Superstring derived $\E$ models can accommodate small neutrino masses if a discrete symmetry is imposed which forbids tree level Dirac neutrino masses but allows for radiative mass generation. The only possible symmetries of this kind are known to be generation dependent. We explore the possibility that, as a consequence of such a symmetry, the three sets of light states in each generation do not have the same assignments with respect to the {\bf 27} of $E_6$, implying that the gauge interactions under the additional $U(1)^\pr$ factors are non universal. Models realising such a scenario are found to be viable, and by requiring the number of light neutral states to be minimal, an almost unique pattern of neutrino masses and mixings arises. We briefly discuss a model in which, with a natural choice of the parameters, $m_{\nu_\tau}\sim 0.1-10\,$eV is generated at one loop, $m_{\nu_\mu} \sim 10^{-3}\,$eV is generated at two loops and ${\nu_e}$ remains massless.
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