Investigation of the neutrino masses and mixings based on a unified model of quarks and leptons

本课题的研究成果可分为以下三类：关于普遍跷跷板模型的研究：(1)我们发现普遍跷跷板模型可以回答为什么只有顶夸克具有电弱尺度A_L: z的质量m_t的问题。C71,(1996)。(2)我们得到了民主跷跷板质量矩阵模型的解析表达式：Prog， Theor, Phys.97,（1997）。(3)在新USM: physical . rev中发现了右旋弱电流的异常结构。D56,(1997)。(4)研究了USM: physical . rev中规范常数和汤川耦合常数的演化。D58,(1998)。2。中微子现象学和夸克和轻子统一模型我们提出了以下三种中微子质量矩阵模型：D57, (1998)；Mod.Phys.Lett。All, (1996)；Phys.Rev。D59,(1999)。然而，我们仍需要对这些模型进行进一步的研究。质量矩阵理论的相关主题。(1)我们系统地给出了运行夸克质量的最新估计。D57,(1998)。(2)我们提出了一个S_3希格斯模型，它给出了带电轻子质量关系的可能解释：Z.Phys。072年,(1996)。(3)我们通过对NNI质量矩阵的演示，指出了CKM矩阵中重相的重要性：Mod.Phys。A12,(1997)。

The results of the present research project are classified by the following three categories.1. Investigation on the universal seesaw model (USM) :(1) We have found that the USM can reply the question of why only top quark aquires the mass m_t of the order of the electroweak scale A_L : Z.Phys.C71, (1996).(2) We hae obtained the analytical expressions of the democratic seesaw mass matrix model : Prog, Theor, Phys.97, (1997).(3) We have found the abnormal structure of the right-handed weak currents in the new USM : Phys.Rev.D56, (1997).(4) We have investigated the evolution of the gauge and Yukawa coupling constants in the USM : Phys.Rev.D58, (1998).2. Neutrino phenomenology and quark and lepton unification modelsWe have proposed the following three models for the neutrino mass matrix : Phys.Rev.D57, (1998) ; Mod.Phys.Lett.All, (1996) ; Phys.Rev.D59, (1999). However, we still need further investigations of the models.3. Related topics of the mass matrix theories.(1) We have given the updated estimates of the running quark masses systematically : Phys.Rev.D57, (1998).(2) We have proposed an S_3 Higgs model which gives a possible explanation of a charged lepton mass relation : Z.Phys.072, (1996).(3) We have pointed out the inportance of the rephasing in the CKM matrix by demonstrating it for the case of the NNI mass matrix : Mod.Phys.A12, (1997).