论文标题
标准模型中的较高风味对称性
Higher Flavor Symmetries in the Standard Model
论文作者
论文摘要
我们启动了标准模型的广义全球风味对称性的研究。 $ u（3）^5 $风味电流与$ u（1）_y $ hyphycharge电流之间存在非零三角图，以较高组的形式将它们交织在一起，该形式将零形式的风味对称性与一级磁性超收益混合在一起。这种较高的对称结构极大地限制了可能在包括磁性单极的任何紫外线完成中可能不间断的风味对称性。在统一的背景下，这意味着可能会加入多重组的费米亚物种组合的严格限制。四种基本可能性中的三个反映在Georgi-Glashow，$ SO（10）$和Pati-Salam的经典统一模型中。最终模式是在Trinification中非琐事实现的，这表现出标准模型的Yukawa耦合违反这些风味对称性的意义，可以将其视为较高组的激励。仅当引入新的矢量样物质并被Yukawa耦合抑制统一的质量时，才有可能对紫外线风味对称性进行这种修改。
We initiate the study of the generalized global flavor symmetries of the Standard Model. The presence of nonzero triangle diagrams between the $U(3)^5$ flavor currents and the $U(1)_Y$ hypercharge current intertwines them in the form of a higher-group which mixes the zero-form flavor symmetries with the one-form magnetic hypercharge symmetry. This higher symmetry structure greatly restricts the possible flavor symmetries that may remain unbroken in any ultraviolet completion that includes magnetic monopoles. In the context of unification, this implies tight constraints on the combinations of fermion species which may be joined into multiplets. Three of four elementary possibilities are reflected in the classic unification models of Georgi-Glashow, $SO(10)$, and Pati-Salam. The final pattern is realized non-trivially in trinification, which exhibits the sense in which Standard Model Yukawa couplings which violate these flavor symmetries may be thought of as spurions of the higher-group. Such modifications of the ultraviolet flavor symmetries are possible only if new vector-like matter is introduced with masses suppressed from the unification scale by the Yukawa couplings.
