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Broken Flavor 2 - 3 Symmetry and phenomenological approach for universal quark and lepton m.pdf

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Broken Flavor 2 - 3 Symmetry and phenomenological approach for universal quark and lepton m

a r X i v : h e p - p h / 0 5 1 1 3 3 8 v 3 3 1 D e c 2 0 0 5 Broken Flavor 2 ? 3 Symmetry and phenomenological approach for universal quark and lepton mass matrices Koichi MATSUDA Graduate school of Science, Osaka University, Toyonaka, Osaka 560-0043, Japan Hiroyuki NISHIURA Faculty of Information Science and Technology, Osaka Institute of Technology, Hirakata, Osaka 573-0196, Japan (Dated: December 26, 2005) Abstract A phenomenological approach for the universal mass matrix model with a broken flavor 2 ? 3 symmetry is explored by introducing the 2 ? 3 antisymmetric parts of mass matrices for quarks and charged leptons. We present explicit texture components of the mass matrices, which are consistent with all the neutrino oscillation experiments and quark mixing data. The mass matrices have a common structure for quarks and leptons, while the large lepton mixings and the small quark mixings are derived with no fine tuning due to the difference of the phase factors. The model predicts a value 2.4 × 10?3 for the lepton mixing matrix element square |U13|2, and also 〈mν〉 = (0.89 ? 1.4) × 10?4 eV for the averaged neutrino mass which appears in the neutrinoless double beta decay. PACS numbers: 12.15.Ff, 14.60.Pq, 11.30.Hv 1 I. INTRODUCTION It has been established through the discovery of neutrino oscillation [1] that neutrinos have finite masses and mix one another with near bimaximal lepton mixings (sin2 2θ12 ～ 1, sin2 2θ23 ? 1) which are in contrast to small quark mixings. In order to explain the large lepton mixing and small quark mixing, mass matrix models with various structures have been investigated in the literature [2]–[12]. For example, it is argued that the large lepton mixing can be explained by mass matrices with a flavor 2 ? 3 symmetry [13]– [28]. We think that quarks and leptons should be unified. Therefore, it is interesting to investigate a possibility that all the mass matrices of the quarks and leptons have the same matrix form, which leads to the