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arXiv 2005.00556hep-ph
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标度不变3-3-1模型中的动力学对称破缺和费米子质量族

Dynamical Symmetry Breaking and Fermion Mass Hierarchy in the Scale-Invariant 3-3-1 Model

Alex G. Dias, Julio Leite, B. L. Sánchez-Vega, William C. Vieira

摘要:

基于$SU(3)_C\otimes SU(3)_L\otimes U(1)_X$(3-3-1)规范对称性和标度不变性,提出了一种扩展的标准模型.保持了所谓的3-3-1模型的主要特征,例如与手征费米子代数相关的规范异常的取消,该模型表现出非常紧凑的标量扇区。只有两个标量三重态和一个单重态是必要的和足够的动态打破对称性通过科尔曼-温伯格机制。通过引入Abel离散对称性,并假设中性标量场的真空期望值之间存在自然的等级关系,我们证明了模型中所有粒子都能获得唯象一致的质量.特别是,大多数标准费米子质量是通过跷跷板机制产生的,其中包括为了一致性而引入的一些额外的重费米子。这一机制为SM中的费米子质量等级问题提供了部分解决方案。此外,标量扇区的简单性使我们能够解析地找到一个回路水平的潜在稳定性的条件,并显示它们是如何容易满足的。一些新的粒子,如标量$H$,$H^\pm$和所有的非SM矢量玻色子,预计将获得TeV尺度左右的质量,因此,可以在高亮度LHC产生。最后,我们表明,该模型具有剩余对称性,导致重中性粒子的稳定性,后者预计将出现在实验中作为丢失的能量。

英文摘要:

We propose an extension of the Standard Model (SM) based on the $SU(3)_C\otimes SU(3)_L\otimes U(1)_X$ (3-3-1) gauge symmetry and scale invariance. Maintaining the main features of the so-called 3-3-1 models, such as the cancellation of gauge anomalies related to the number of chiral fermion generations, this model exhibits a very compact scalar sector. Only two scalar triplets and one singlet are necessary and sufficient to break the symmetries dynamically via the Coleman-Weinberg mechanism. With the introduction of an Abelian discrete symmetry and assuming a natural hierarchy among the vacuum expectation values of the neutral scalar fields, we show that all particles in the model can get phenomenologically consistent masses. In particular, most of the standard fermion masses are generated via a seesaw mechanism involving some extra heavy fermions introduced for consistency. This mechanism provides a partial solution for the fermion mass hierarchy problem in the SM. Furthermore, the simplicity of the scalar sector allows us to analytically find the conditions for the potential stability up to one-loop level and show how they can be easily satisfied. Some of the new particles, such as the scalars $H$, $H^\pm$ and all the non-SM vector bosons, are predicted to get masses around the TeV scale and, therefore, could be produced at the high-luminosity LHC. Finally, we show that the model features a residual symmetry which leads to the stability of a heavy neutral particle; the latter is expected to show up in experiments as missing energy.

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