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The masses of the three generations of charged leptons are known to completely satisfy Koide’s mass relation, but the question remains of whether such a relation exists for neutrinos. In this paper, by considering the seesaw mechanism as the mechanism generating tiny neutrino masses, we show how neutrinos satisfy Koide’s mass relation, on the basis of which we systematically give exact values of both left- and right-handed neutrino masses.

The SO(3) gauge extension of SM, which is proposed to present a successful explanation for the observed small masses of neutrino and the nearly tri-bimaximal neutrino mixing, predicted the vector-like SO(3) triplet Majorana neutrinos and SUL(2) double Higgs bosons. In this work we calculate branching ratios of the charged lepton flavor violating decays induced by these Majorana neutrinos and Higgs bosons. We find that under the model parameters constrained by experimental bounds on the decays , the branching ratio of decays lI→lJγ can be up to 10−10, which may be accessible at the future experiments.

More precise extractions on the two important CKM matrix elements $|V_{cb}|$ and $|V_{ub}|$ are presented up to $1/m_Q^2$ corrections based on the complete heavy quark effective field theory (HQEFT) of QCD. The HQEFT as a large component QCD provides us a complete theoretical framework for correctly and systematically evaluating the subleading and higher order contributions in $1/m_Q$ expansion of heavy quarks. A global analysis on charmless B decays is made based on the isospin and SU(3) flavor symmetry. An isospin relation is found to be very useful for studying SU(3) symmetry breaking effects of strong phases and exploring new type of electroweak penguin effects. The direct CP violation in charmless B decays is predicted and its precise measurement is helpful either for testing SU(3) symmetry breaking effects of strong phases or for probing new physics beyond standard model., Comment: RevTex 7 pages. To be published in JKPS

B --> pi l nu decay is studied in the effective theory of heavy quark with infinite mass limit. The leading order heavy flavor-spin independent universal wave functions which parametrize the relevant matrix elements are evaluated via light cone sum rule method in the effective theory. The important quark mixing matrix element |V_{ub}| is then extracted via B --> pi l nu decay mode., Comment: 10 pages, ReVtex, 7 figures, corrected a mistyped factor 1/2

B --> pi l nu decay is studied in the effective theory of heavy quark with infinite mass limit. The leading order heavy flavor-spin independent universal wave functions which parametrize the relevant matrix elements are evaluated via light cone sum rule method in the effective theory. The important quark mixing matrix element |V_{ub}| is then extracted via B --> pi l nu decay mode., 10 pages, ReVtex, 7 figures, corrected a mistyped factor 1/2

Neutrino oscillation experiments provide the first evidence on non-zero neutrino masses and indicate new physics beyond the standard model. With Majorana neutrinos introduced to acquire tiny neutrino masses, it leads to the existence of more than three neutrino species, implying that the ordinary neutrino mixing matrix is only a part of the whole extended unitary mixing matrix and thus no longer unitary. We give a parameterization for a non-unitary neutrino mixing matrix under seesaw framework and further present a method to test the unitarity of the ordinary neutrino mixing matrix.