SU（5）-兼容Yukawoon型号
SU(5)-Compatible Yukawaon Model
摘要：
研究了当把夸克和轻子看作SU（5）的$(\bar{\bf 5}_i+{\bf 10}_i+{\bf 1}_i)$（$i=1,2,3$：U（3）族对称性指数）时，对所谓的汤川模型施加了什么样的约束。在过去的汤川模型中，有效汤川耦合常数$Y_f^{eff}$由场$Y_f$（“汤川”）的真空期望值作为$(Y_f^{eff})_{ij}= (y_f/Λ)<(Y_f)_{ij}>$给出。为了建立一个没有截止尺度$Λ$的模型，除了传统的夸克和轻子外，还引入了类矢量场$(\bar{\bf 5}^i+{\bf 10}^i+{\bf 5}_i +\bar{\bf 10}_i)$。U（3）族对称性在$<Y_f>\sim 10^{13}$ GeV处破缺。
英文摘要：
It is investigated what constraints are imposed on the so-called yukawaon model when we regard quarks and leptons as $(\bar{\bf 5}_i+{\bf 10}_i+{\bf 1}_i)$ of SU(5) ($i=1,2,3$: index of U(3) family symmetry). In past yukawaon models, the effective Yukawa coupling constants $Y_f^{eff}$ are given by vacuum expectation values of fields $Y_f$ ("yukawaons") as $(Y_f^{eff})_{ij}= (y_f/Λ)<(Y_f)_{ij}>$. In order to build a model without a cutoff scale $Λ$, vector-like fields $(\bar{\bf 5}^i+{\bf 10}^i+{\bf 5}_i +\bar{\bf 10}_i)$ are introduced in addition to the conventional quarks and leptons. The U(3) family symmetry is broken at $<Y_f>\sim 10^{13}$ GeV.
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