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arXiv 2301.09256hep-ph
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一般双希格斯二重态势的真空稳定性条件

Vacuum stability conditions of the general two-Higgs-doublet potential

Yisheng Song

AI总结:

本文利用余正性和规范轨道空间概念,为一般CP破坏的双希格斯二重态模型推导出真空稳定性的解析充分与必要条件,并证明了一类四阶二维复张量的正半定性。

摘要:

在本文中,我们利用余正性和规范轨道空间的概念,针对一般CP破坏的双希格斯二重态模型,提出了标量势从下方有界性或真空稳定性条件的新解析表达式。更确切地说,我们分别建立了一般2HDM势真空稳定性的若干解析充分条件和必要条件。我们还从理论上给出了该一般2HDM势真空稳定性的一个等价条件,并应用该条件推导出一般2HDM势的解析必要条件。同时,我们证明了一类四阶二维复张量的正半定性。

英文摘要:

In this paper, we present the novel analytical expressions for the bounded-from-below or the vacuum stability conditions of scalar potential for a general CP violating two-Higgs-doublet model by using the concepts of co-positivity and the gauge orbit spaces. More precisely, several analyticial sufficient conditions and necessary conditions are established for the vacuum stability of the general 2HDM potential, respectively. We also give an equivalent condition of the vacuum stability of the general 2HDM potential in theory, and then, apply it to derive the analyticial necessary conditions of the general 2HDM potential. Meanwhile, the positive semi-definiteness is proved for a class of 4th-order 2-dimensional complex tensor.

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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