Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2000-07-24
Phys.Lett.B492:81-90,2000
Physics
High Energy Physics
High Energy Physics - Phenomenology
Latex, 15 pages including 1 figure, some typos corrected
Scientific paper
10.1016/S0370-2693(00)01067-4
We study extensions of supersymmetric models without R-parity which include an anomalous U(1)_H horizontal symmetry. Bilinear R-parity violating terms induce a neutrino mass at tree level of approximately $(\theta^2)^\delta$ eV where $\theta\approx 0.22$ is the U(1)_H breaking parameter and $\delta$ is an integer number that depends on the horizontal charges of the leptons. For $\delta=1$ a unique self-consistent model arises in which i) all the superpotential trilinear R-parity violating couplings are forbidden by holomorphy; ii) the tree level neutrino mass falls in the range suggested by the atmospheric neutrino problem; iii) radiative contributions to neutrino masses are strongly suppressed resulting in a squared solar mass difference of few 10^{-8} eV^2 which only allows for the LOW (or quasi-vacuum) solution to the solar neutrino problem; iv) the neutrino mixing angles are not suppressed by powers of $\theta$ and can naturally be large.
Mira Jesus M.
Nardi Enrico
Restrepo Diego A.
Valle Jose W. F.
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