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arXiv 1902.02791hep-phhep-th
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作为$U$约束的真空的稳定性(1)标准模型的推广

Stability of the vacuum as constraint on $U$(1) extensions of the standard model

Zoltán Péli, Zoltán Trócsányi

摘要:

在标准模型中,四次耦合在其重整化群流动期间变为负的,这使真空不稳定。考虑了具有额外复标量场和Majorana型中微子Yukawa耦合的标准模型的U(1)扩展。这些附加耦合影响四次耦合的重整化群流。我们在微扰论中计算了单圈阶扩展模型的β函数,并研究了新标量耦合的参数空间如何被稳定真空和微扰度的要求约束到普朗克尺度。

英文摘要:

In the standard model the running quartic coupling becomes negative during its renormalization group flow, which destabilizes the vacuum. We consider U(1) extensions of the standard model, with an extra complex scalar field and a Majorana-type neutrino Yukawa coupling. These additional couplings affect the renormalization group flow of the quartic couplings. We compute the beta-functions of the extended model at one-loop order in perturbation theory and study how the parameter space of the new scalar couplings can be constrained by the requirement of stable vacuum and perturbativity up to the Planck scale.

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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