Fermion Masses and Origin of Family

(1)反常U（1）和族结构：如果使用具有族对称性U（1）的大统一理论，则从希格斯扇区确定的所有破缺尺度只能从系统中场的U（1）电荷中确定。这意味着，一旦相关场的U（1）电荷被固定，包含标准理论粒子的有效低能理论就被唯一确定。用全U（1）方案检验了E6模型，发现它很好地再现了目前的实验。（2）所谓的“三重态-二重态分裂”问题：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。严重的问题之一是三重态和二重态希格斯场的质量之间的巨大差异。解决这种三重态-二重态分裂的一个想法是识别低能光希格斯场 ...更多信息 由于对称性自发破缺而出现的Numbu金矿区。这种可能性被一些作者考虑过，但最近的中微子振荡实验表明夸克和轻子的家族扭曲结构。所以这决定了比SU（5）或SO（10）更大的GUT群。最有可能的候选人是E6。仪表组。因此，我们考察E6模型是否能解决三重态问题，并像我们预期的那样再现Humbu Goldstone粒子。我和久吾证明了，如果我们用适当的断裂链来选择费米子的正确表示，这是可能的（3）中微子质量矩阵在上夸克质量方面：我和小原开始了一个新的课题。我们研究的可能性，中微子的质量矩阵可以从Pati-Salam对称关系再现。我们发现，这是可能的，只有当我们采用“零纹理”与一些特殊的希格斯表示。与Froggatt-Nielsen机制不同的是，即使是轻子质量参数的系数也可以由上^型夸克质量矩阵唯一确定。在这里我们注意到，“零纹理”是必不可少的复制双大缺失矩阵。现在我和Obara正在研究详细的计算（4）中微子双大混合的一般结构：在KamLAND之后，中微子双大混合以及质量差被建立，现在的问题是这到底是什么标志。!与Kugo，正在为重现这些数据创造一般条件，这将为回答家庭起源问题提供线索。

(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