Neutrino Masses and Mixing From Six Dimensions

We construct models of quark and lepton mass matrices from six dimensions with the fifth dimension compactified on an S 1 /Z 2 orbifold, and the sixth on an S 1 /(Z 2 × Z 2). ′ In building models, we make use of a mechanism of wavefunction overlap along the fifth dimension, which was proposed by Dr.Hung. In the models, the mass matrices take the following form: (overall mass scale :g Y )× ( matrix elements: r ij exp(iα ij )). The overall mass scale g Y is proportional to the wavefunction overlap along the fifth dimension and the matrix elements r ij exp(iα ij ) of the wavefunction overlap along the sixth dimension. First, we construct a model of lepton mass matrices. In constructing the model, we assume that neutrinos are Dirac particles. The lepton mass model fits the three charge lepton masses as well as experimental data from neutrino oscillation experiments. Next, we construct a model of quark mass matrices within the same framework of the lepton mass model. The model of quark masses also fits the six observed quark masses as well as the V CKM matrix. Lastly, we compare the results from the two models and show that the pattern of family symmetry breaking along the sixth dimension is strongly related to the form of two mixing matrices U PNMS and V CKM .

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