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动力学对称破缺模型的生成结构

Generational Structure of Models with Dynamical Symmetry Breaking

Thomas A. Ryttov, Robert Shrock

备注：
21 pages, latex, 3 figures
发表信息：
Phys.Rev.D81:115013,2010
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摘要：

在具有动力学电弱对称性破缺的模型中，这种破缺通常通过一组具有质量的矢量玻色子传递给夸克和轻子，这些矢量玻色子是通过更大的规范对称性的连续破缺产生的。在这类合理的紫外线完备理论中，大规范对称性破缺的级数通常等于夸克和轻子世代的观测数$N_{gen.}=3$。在这里，我们调查的一般问题，如何建设和这些模型的属性取决于$N_{gen.}$，视为一个变量。我们建立和分析模型的说明值$N_{gen.}$不同于3（即，$N_{gen.}=1,2,4$），表现出必要的顺序对称性打破了一个强耦合的部门，动态打破电弱对称。我们的结果为变量$N_{gen.}$表明，人们可以鲁棒地获得，对于后者的部门，一个理论与规范耦合，是大的，但运行缓慢，控制的近似红外固定点的重整化群。由于这一点，我们发现，对于所有的值的$N_{gen.}$考虑，标准模型的费米子的最高世代的质量，可以比拟的电弱对称性破缺标度。我们还研究了这些模型中多重强耦合规范对称性的相互作用。

英文摘要：

In models with dynamical electroweak symmetry breaking, this breaking is normally communicated to quarks and leptons by a set of vector bosons with masses generated via sequential breaking of a larger gauge symmetry. In reasonably ultraviolet-complete theories of this type, the number of stages of breaking of the larger gauge symmetry is usually equal to the observed number of quark and lepton generations, $N_{gen.}=3$. Here we investigate the general question of how the construction and properties of these models depend on $N_{gen.}$, regarded as a variable. We build and analyze models with illustrative values of $N_{gen.}$ different from 3 (namely, $N_{gen.}=1,2,4$) that exhibit the necessary sequential symmetry breaking down to a strongly coupled sector that dynamically breaks electroweak symmetry. Our results for variable $N_{gen.}$ show that one can robustly obtain, for this latter sector, a theory with a gauge coupling that is large but slowly running, controlled by an approximate infrared fixed point of the renormalization group. Owing to this, we find that for all of the values of $N_{gen.}$ considered, standard-model fermions of the highest generation have masses that can be comparable to the electroweak-symmetry breaking scale. We also study the interplay of multiple strongly coupled gauge symmetries in these models.

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