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arXiv 1105.5166hep-ph
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水平对称:自下而上和自上而下

Horizontal Symmetry: Bottom Up and Top Down

C. S. Lam

摘要:

建立了水平对称性$\G$和费米子混合之间的群论联系,并将其应用于中微子混合。群论方法与基于$U(1)\times \G$的动力学理论是一致的,但动力学理论可以用来挑选出最稳定的混合,而纯粹的群论考虑不能。还讨论了轻子和夸克共有的对称性。这种更高的对称性使$A_4$比$S_4$更适合作为轻子的对称性。

英文摘要:

A group-theoretical connection between horizontal symmetry $\G$ and fermion mixing is established, and applied to neutrino mixing. The group-theoretical approach is consistent with a dynamical theory based on $U(1)\times \G$, but the dynamical theory can be used to pick out the most stable mixing that purely group-theoretical considerations cannot. A symmetry common to leptons and quarks is also discussed. This higher symmetry picks $A_4$ over $S_4$ to be the preferred symmetry for leptons.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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