Neutrino oscillation data versus minimal supersymmetric SO(10) model

We reconsider the minimal supersymmetric SO(10) model, where only one {\bf10} and one $\bar{\bf 126}$ Higgs multiplets have Yukawa couplings with mattermultiplets. The model is generalized to include CP-violating phases, andexamined how well its predictions can meet the current neutrino oscillationdata. Using the electroweak scale data about six quark masses, three angles andone CP-phase in the Cabibbo-Kobayashi-Maskawa matrix and three charged-leptonmasses and given $\tan \beta$ (the ratio of vacuum expectation values of a pairof Higgs doublets), we obtain the Pontecorvo-Maki-Nakagawa-Sakata matrix andthe ratio, $\Delta m_\odot^2/\Delta m_\oplus^2 $, as functions of only one freeparameter in the model. In our analysis, one-loop renormalization groupequations for the gauge couplings, the Yukawa couplings and the effectivedimension-five operator are used to connect the data between the electroweakscale 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 $\Delta m_\odot^2/\Deltam_\oplus^2 \sim 0.19$ with $\tan \beta = 45$, which are in agreement with thecurrent neutrino oscillation data.Comment: 18 pages, 3 figures. Some numerical errors in the version published in JHEP have been corrected: the mass eigenvalue M_{R_i}, and _ee and epsilon in Table