Flavor Mixing, Quark Masses, Neutrino Masses and Neutrino Oscillations

نویسنده

  • H. Fritzsch
چکیده

We discuss first the flavor mixing of the quarks, using the texture zero mass matrices. Then we study a similar model for the mass matrices of the leptons. We are able to relate the mass eigenvalues of the charged leptons and of the neutrinos to the mixing angles and can predict the masses of the neutrinos. We find a normal hierarchy the masses are 0.004 eV, 0.01 eV and 0.05 eV. The atmospheric mixing angle is given by the mass ratios of the charged leptons and the neutrinos. We find about 40◦, consistent with the experiments. The mixing element, connecting the first neutrino with the electron, is predicted to be 0.05. This prediction can soon be checked by the Daya Bay experiment. We observe three lepton-quark families in nature. The first family consists of the electron, its neutrino and the uand d-quarks. The members of the second family are the muon, its neutrino and the cand s-quarks. The third family consists of the tauon, its neutrino and the tand b-quarks. It is unknown, whether there is a connection between the number of families and the number of colors in quantum chromodynamics. In the Standard Model 28 fundamental constants have to be introduced. Their values cannot be calculated they have to be measured in the experiments. Theses constants are: • the constant of gravity G, • the fine structure constant, • the coupling constant of the weak interactions, • the coupling constant of the strong interactions or the scale of QCD, • the mass of the W-boson, • the mass of the “Higgs”-boson, • the masses of the three charged leptons,

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تاریخ انتشار 2009