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Universal Texture of Quark and Lepton Mass Matrices
a r X i v : h e p - p h / 0 3 0 3 2 5 6 v 1 3 1 M a r 2 0 0 3 Universal Texture of Quark and Lepton Mass Matrices Yoshio KOIDE Department of Physics, University of Shizuoka, 52-1 Yada, Shizuoka, 422-8526 Japan E-mail: koide@u-shizuoka-ken.ac.jp Hiroyuki NISHIURA Department of General Education, Junior College of Osaka Institute of Technology, Asahi-ku, Osaka,535-8585 Japan E-mail: nishiura@jc.oit.ac.jp Koichi MATSUDA, Tatsuru KIKUCHI, and Takeshi FUKUYAMA Department of Physics, Ritsumeikan University, Kusatsu, Shiga, 525-8577 Japan E-mail: sph30101@se.ritsumei.ac.jp, rp009979@se.ritsumei.ac.jp, and fukuyama@se.ritusmei.ac.jp Abstract Against the conventional picture that the mass matrix forms in the quark sec- tors will take somewhat different structures from those in the lepton sectors, a possibility that all the mass matrices of quarks and leptons have the same form as in the neutrinos is investigated. For the lepton sectors, the model leads to a nearly bimaximal mixing with the prediction |Ue3|2 = me/2mμ = 0.0024 and tan2 θsol ? mν1/mν2, and so on. For the quark sectors, it can lead to reasonable values of the CKM mixing matrix and masses: |Vus| ? √ md/ms, |Vub| ? |Vcb| √ mu/mc, |Vtd| ? |Vcb| · |Vus|, and so on. Typeset using REVTEX 1 I. MODEL Recent neutrino oscillation experiments [1–4] have highly suggested a nearly bimaximal mixing (sin2 2θ12 ~ 1, sin2 2θ23 ? 1) together with a small ratio R ≡ ?m212/?m223 ~ 10?2. On the other hand, we know that the observed quark mixing matrix VCKM is characterized by small mixing angles. Thus, the mixing matrices of quarks and leptons are very different from each other. Therefore, usually, the following picture is accepted: the mass matrix forms in the quark sectors will take somewhat different structures from those in the lepton sectors. Against such a conventional picture, we investigate a possibility that all the mass matrices of quarks and leptons have the same forms as in the neutrino sector: Mf = P ? LfM?fPRf , (1
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