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arXiv 0907.2206hep-ph
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水平对称性的自底向上分析

A bottom-up analysis of horizontal symmetry

C. S. Lam

摘要:

本文回顾和扩展了从中微子混合导出水平对称性的群论方法。澄清了文献中对该结果的一些误解。应用先前用于找到$S_4$的真空对准的方法来计算$A_4$和$S_3$的真空对准。基于这三组的有效理论的研究表明,在每种情况下,都有足够的自由参数来拟合所有的质量和剩余的混合参数。这对动力学模型施加了限制,因为有效的理论只是将右手费米子积分出来的动力学模型。夸克如何可能适合这个计划进行了简要讨论。

英文摘要:

The group-theoretical method used to derive horizontal symmetry from neutrino mixing is reviewed and expanded. Some misunderstanding in the literature regarding the result is clarified. The method used previously to find vacuum alignments of $S_4$ is applied to compute those of $A_4$ and $S_3$. A study of effective theories based on these three groups shows that in each case there are just enough free parameters to fit all the masses and the remaining mixing parameters. This places constraint on dynamical models because effective theories are just dynamical models with the right-handed fermions integrated out. How quarks may fit into this scheme is briefly discussed.

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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