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arXiv 0704.3464hep-thhep-ph
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标准模型扩展中对$N_c$的约束

Constraints on $N_c$ in Extensions of the Standard Model

Robert Shrock

摘要:

我们考虑一类理论,涉及扩展的标准模型规范组的{ \it先验}任意数量的颜色,$N_c$,并推导出$N_c$的约束。其中一个动机是弦论的景观。对于两个自然类的嵌入这个$N_c$ -扩展标准模型在超对称大统一理论,我们表明,需要不间断的电磁规范不变性,渐近自由的颜色,和三代夸克和轻子迫使一个选择$N_c=3$。类似地,我们证明了对于一个结合了$N_c$扩展的标准模型和一个单族SU(2)$_{TC}$ Technicolor理论的理论,只允许值$N_c=3$。

英文摘要:

We consider a class of theories involving an extension of the Standard Model gauge group to an {\it a priori} arbitrary number of colors, $N_c$, and derive constraints on $N_c$. One motivation for this is the string theory landscape. For two natural classes of embeddings of this $N_c$-extended Standard Model in a supersymmetric grand unified theory, we show that requiring unbroken electromagnetic gauge invariance, asymptotic freedom of color, and three generations of quarks and leptons forces one to choose $N_c=3$. Similarly, we show that for a theory combining the $N_c$-extended Standard Model with a one-family SU(2)$_{TC}$ technicolor theory, only the value $N_c=3$ is allowed.

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