Fermion Masses and Origin of Family

(1)反常U(1)和族结构：如果使用族对称U(1)的大统一理论，则所有由希格斯扇区确定的破缺尺度只能由系统中场的U(1)电荷来确定。这意味着一旦相关场的U(1)电荷固定，包含标准理论粒子的有效低能理论就唯一确定了。使用全U(1)格式，我们检验了E6模型，发现它非常成功地再现了目前的实验。(2)所谓的“三重重态分裂”问题：认识到大统一理论可以与夸克和轻子的实验间隙相一致。因此，解决我们现在面临的根本问题变得非常重要。其中一个严重的问题是三重态和双重态希格斯场的质量差别很大。解决这种三重双重态分裂的想法之一是识别低能光希格斯玻色子……由于自发对称性破缺，出现了更多的楠布金石场。一些作者考虑了这种可能性，但最近的中微子振荡实验表明夸克和轻子存在家族扭曲结构。因此，这表明比SU(5)或So（10）更大的GUT群。最可证明的候选是E6。计组。因此，我们检验E6模型是否能够解决三重态双重态问题，并如我们所期望的那样重现Humbu Goldstone粒子。我和Kugo的研究表明，如果我们为费米子选择合适的断链表示，这是可能的(3)中微子质量矩阵在上夸克质量方面：我和Obara开始了一个新的课题。我们研究了从帕蒂-萨拉姆对称关系中再现中微子质量矩阵的可能性。我们发现，只有当我们采用一些特殊希格斯表示的“零纹理”时，这才有可能。与Froggatt-Nielsen机制不同的是，轻子质量参数的系数可以唯一地由上^型夸克质量矩阵确定。这里我们注意到“零纹理”对于再现双大缺失矩阵是必不可少的。现在我和Obara正在研究详细的计算(4)中微子双大混合的属结构：在KamLAND之后，中微子双大混合和质量差被建立，现在的问题是这到底是什么意思。！ 与Kugo一起，我们正在为这些数据的重现创造一般条件，这将为回答关于family Less起源的问题提供线索

(1) Anomalous U (1) and Family Structure: If one uses the Grand Unified theory with family symmetry U (1), all the breaking scales determined from the Higgs sector can be fixed only from the U (1) charges of the fields in the system. This means that once the U (1) charges of the relevant fields are fixed, the effective low energy theory including the particles of standard theory is uniquely determined. Using full U (1) scheme, we examine E6 Model and found that it reproduces the present experiments very successfully(2) The so called "triplet-doublet splitting" problem : It is recognized that the grand unified theory can be consistent with the experimental gap of quarks and leptons. Thus it has become very important to solve the fundamental problems which we are now facing with. One of the serious problems is the big difference between the of masses of triplet and doublet Higgs fields. One of the ideas to solve such triplet-doublet splitting is to identify the low energy light Higgs fie … More lds to the Numbu Gold stone fields appearing due to the spontaneous symmetry breaking. Such possibility was considered by some authors but recent neutrino oscillation experiments indicates the family twisting structure for quarks and leptons. So this dictates larger GUT groups than SU(5) or SO(10). The most provable candidate is E6. Gauge group. So we examine whether E6 model can solve the triplet doublet problem and reproduce the Humbu Goldstone particles as we expect. I with Kugo showed that this can be possible if we choose the correct representations for the fermions with the proper breaking chain(3) Neutrino Mass matrix in terms of up-quark masses: I started a new subject with Obara. We examine the possibility that the neutrino mass matrix can be reproduced from the Pati-Salam symmetry relation. We have found that this is possible only when we adopt the "zero texture" with some special Higgs representation. Unlike the Froggatt-Nielsen mechanism case, even the coefficients of the lepton mass parameters can be uniquely determined from the up^type quark mass matrix. Here we note that the "zero texture" is essential to reproduce bi-large missing matrix. Now I and Obara are investigating the detailed calculation(4) Genera structure of neutrino bi-large mixing: After KamLAND, the neutrino bi-large mixing is established as well as mass differences, Now the question is what is the indication of this after all. ! With Kugo, are making general conditions for reproducing those data This will give the hints to answer the quwstion on the origin of family Less