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arXiv 0706.2685hep-phhep-thmath-phmath.MP
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含$N$ Higgs二重态的势结构

Structure of potentials with $N$ Higgs doublets

Celso C. Nishi

摘要:

用$N$希格斯二重态对标准模型的扩展是简单的扩展,呈现出丰富的数学结构。一个潜在的闵可夫斯基结构出现在变量空间和参数空间的研究。前者可以完全参数化的两个未来的类光闵可夫斯基向量的空间部分形成一个角度,其余弦是$-(N-1)^{-1}$。对于参数空间,Minkowski参数化使人们能够施加有界势下的充分条件,表征某些类的局部极小值和区分电荷破缺真空从中性真空。一类特殊的中性极小值呈现出物理带电希格斯玻色子的简并质谱。

英文摘要:

Extensions of the Standard Model with $N$ Higgs doublets are simple extensions presenting a rich mathematical structure. An underlying Minkowski structure emerges from the study of both variable space and parameter space. The former can be completely parametrized in terms of two future lightlike Minkowski vectors with spatial parts forming an angle whose cosine is $-(N-1)^{-1}$. For the parameter space, the Minkowski parametrization enables one to impose sufficient conditions for bounded below potentials, characterize certain classes of local minima and distinguish charge breaking vacua from neutral vacua. A particular class of neutral minima presents a degenerate mass spectrum for the physical charged Higgs bosons.

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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