Study of Neutrino Oscillations and Neutrino Masses, Mixings

根据2001.1-1998年期间中微子振荡的最新数据，从唯象的角度研究了中微子质量矩阵模型。轻子混合矩阵是通过使用最近的数据确定的，比如夸克部分的CKM矩阵。基于太阳中微子问题的LMA-MSW解，研究了U(1)的味道对称性。研究发现，需要像Z_2这样的离散对称性才能与实验数据保持一致。研究了中微子质量矩阵的非阿贝尔味道对称性，如S_3和Ο(3)。在SU(5)空间中研究了轻子混合矩阵和CKM矩阵之间的关系，其中重整化群方程是NSED。现象学上中微子和带电质量矩阵的可能模式。发现质量矩阵的许多模式与目前的实验数据是一致的。在中微子模型中研究了μ→Ey的分支率。如果中微子质量是准简并的，则分枝比被抑制，从而与实验上界一致。

Models of neutrino mass matrix have been studied phenomenologically by taking account of the recent data of neutrino oscillations during 1998-2001.1. The lepton mixing matrix has been determined by using recent data like the CKM matrix in the quark sector.2. The flavor symmetry U(1) has been investigated based on the LMA-MSW solution of the solar neutrino problem. It is found that the discrete symmetry like Z_2 is required in order to be consistent with the experimental data.3. The non-abelian flavor symmetries such as S_3 and Ο(3) have been investigated for the neutrino mass matrix.4. The relation between the lepton mixing matrix and the CKM matrix has been studied in the SU(5) GUT, where the renormalization group equations are nsed.5. Possible patterns of the neutrino and the charged, mass matrices phenomenologically. It is found that many patterns of the mass matrices are consistent with the experimental data for the present.6. The branching ratio of μ→ey is studied in the neutrino models. If neutrino masses are quai-degenerate, the branching ratio is suppressed, and then it is consistent with the experimental upper bound.