Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2007-01-09
Mod.Phys.Lett. A22 (2007) 939-948
Physics
High Energy Physics
High Energy Physics - Phenomenology
10 pages, no figures
Scientific paper
10.1142/S0217732307022888
In this paper we consider a plausible scenario with conserved lepton number \textbf{$L=L_{e}-L_{\mu}-L_{\tau}$} within the framework of the exact solution of a particular 3-3-1 gauge model. We discuss what are the consequences of conserving this global leptonic symmetry from the viewpoint of the neutrino mass matrix constructed via special Yukawa terms (involving tensor products among Higgs triplets). We prove that the actual experimental data can naturally be reproduced by our scenario since soft breaking terms with respect to this lepton symmetry are properly introduced. As a consequence, our solution predicts for the neutrino sector the correct mass splitting ratio ($\Delta m_{12}^{2}/\Delta m_{23}^{2}\simeq0.033$), the inverted mass hierarchy, the correct values for the observed mixing angles ($\sin^{2}\theta_{23}\simeq0.5$ and $\sin^{2}\theta_{12}=0.31$)and the absolute mass of the lightest neutrino ($m_{0}\sim0.001$eV)independent of the breakung scale of the model.
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