Flavor mixing, neutrino oscillations and neutrino masses

2019 
We discuss mass matrices with four texture zeros for the quarks and leptons. The three flavor mixing angles for the quarks are functions of the quark masses and can be calculated. The results agree with the experimental data. The texture zero mass matrices for the leptons and the see-saw mechanism are used to calculate the matrix elements of the lepton mixing matrix as functions of the lepton masses. The neutrino masses are calculated: m1 ≈ 1.4 meV, m2 ≈ 9 meV, m3 ≈ 51 meV. The neutrinoless double beta decay is discussed. The effective Majorana neutrino mass, describing the double beta decay, can be calculated - it is about 5 meV. The present experimental limit is 140 meV.
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