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arXiv 1407.8124hep-phhep-th
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Higgs-top-bottom模型重正化流的Higgs质量边界

Higgs Mass Bounds from Renormalization Flow for a Higgs-top-bottom model

Holger Gies, René Sondenheimer

摘要:

我们研究了一个模仿标准模型的Higgs-顶-底扇区的手征Yukawa模型。我们重新分析了传统的参数,涉及到一个下界的希格斯质量与真空稳定性的正则化费米子行列式的精确结果,以及在功能重整化群的框架。在这两种情况下,我们发现没有迹象表明真空不稳定性,也没有亚稳定性诱导的顶部波动,如果截止保持有限的,但任意的。希格斯粒子质量的下限来自于一个定义良好的泛函积分的要求,即对于标准裸势类的H4^4型(即,裸电位的稳定性)。然而,这种一致性界限可以通过裸势的更一般形式大大放松,而不必引入新的亚稳定极小值。

英文摘要:

We study a chiral Yukawa model mimicking the Higgs-top-bottom sector of the standard model. We re-analyze the conventional arguments that relate a lower bound for the Higgs mass with vacuum stability in the light of exact results for the regularized fermion determinant as well as in the framework of the functional renormalization group. In both cases, we find no indication for vacuum instability nor meta-stability induced by top-fluctuations if the cutoff is kept finite but arbitrary. A lower bound for the Higgs mass arises for the class of standard bare potentials of ϕ^4 type from the requirement of a well-defined functional integral (i.e., stability of the bare potential). This consistency bound can however be relaxed considerably by more general forms of the bare potential without necessarily introducing new meta-stable minima.

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