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arXiv 1102.5374hep-ph
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具有最小标量扇区的3-3-1模型中的自然PQ对称性

Natural PQ symmetry in the 3-3-1 model with a minimal scalar sector

J. C. Montero, B. L. Sánchez-Vega

摘要:

在一个具有最小标量扇区的3-3-1模型的框架下,我们详细研究了PQ对称性的实现,以解决强CP问题。对于模型的原始版本,只有两个标量三重态,我们表明,整个拉格朗日下的PQ样对称不变,但没有产生轴子,因为U(1)子群保持不破缺。虽然在这种情况下,强CP问题仍然可以解决,但解决方案在很大程度上是不利的,因为在微扰论中,三个夸克态对所有阶都是无质量的。第三个标量三重态的加入去除了无质量的夸克态,但最终的轴子是可见的。为了变得现实,模型必须扩展到考虑大质量夸克和不可见的轴子。我们证明了加入一个标量单态和一个Z_N离散规范对称性可以成功地完成这些任务,并保护轴子场免受量子引力效应的影响。为了确保保护离散规范对称性是无异常的,我们使用离散版本的格林-施瓦茨机制。

英文摘要:

In the framework of a 3-3-1 model with a minimal scalar sector we make a detailed study concerning the implementation of the PQ symmetry in order to solve the strong CP problem. For the original version of the model, with only two scalar triplets, we show that the entire Lagrangian is invariant under a PQ-like symmetry but no axion is produced since an U(1) subgroup remains unbroken. Although in this case the strong CP problem can still be solved, the solution is largely disfavored since three quark states are left massless to all orders in perturbation theory. The addition of a third scalar triplet removes the massless quark states but the resulting axion is visible. In order to become realistic the model must be extended to account for massive quarks and invisible axion. We show that the addition of a scalar singlet together with a Z_N discrete gauge symmetry can successfully accomplish these tasks and protect the axion field against quantum gravitational effects. To make sure that the protecting discrete gauge symmetry is anomaly free we use a discrete version of the Green-Schwarz mechanism.

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