Neutrino oscillation data versus minimal supersymmetric SO(10) model

Abstract

We reconsider the minimal supersymmetric SO(10) model, where only one {\bf 10} and one $\overline{126}$ Higgs multiplets have Yukawa couplings with matter multiplets. The model is generalized to include CP-violating phases, and examined how well its predictions can meet the current neutrino oscillation data. Using the electroweak scale data about six quark masses, three angles and one CP-phase in the Cabibbo-Kobayashi-Maskawa matrix and three charged-lepton masses and given $\tan \beta$ (the ratio of vacuum expectation values of a pair of Higgs doublets), we obtain the Pontecorvo-Maki-Nakagawa-Sakata matrix and the ratio, $\Delta m_{\odot }^2/\Delta m_{\oplus }^2$, as functions of only one free parameter in the model. In our analysis, one-loop renormalization group equations for the gauge couplings, the Yukawa couplings and the effective dimension-five operator are used to connect the data between the electroweak scale and the grand unification scale. Fixing the free parameter appropriately, we find, for example, ${\sin }^{2}2{\theta }_{12}\sim 0.72$, ${\sin }^{2}2{\theta }_{23}\sim 0.90$, ${\sin }^{2}2{\theta }_{13}\sim 0.16$ and $\Delta m_{\odot }^2/\Delta m_{\oplus }^2\sim 0.19$ with $\tan \beta =45$, which are in agreement with the current neutrino oscillation data.

18 pages, 3 figures. Some numerical errors in the version published in JHEP have been corrected: the mass eigenvalue M_{R_i}, and <m_nu>_ee and epsilon in Table 3

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