Renormalization group flow of the Higgs potential

Renormalization group flow of the Higgs potential
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DOI:
10.1098/rsta.2017.0120
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发表时间:
2017-08
期刊:
Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
影响因子:
--
通讯作者:
H. Gies;R. Sondenheimer
H. Gies;R. Sondenheimer
中科院分区:
其他
文献类型:
--
作者:
H. Gies;R. Sondenheimer

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我们总结了由泛函重整化群得到的Higgs玻色子有效势的局域和整体性质的结果,这使得人们可以将有效势描述为标量场振幅和重整化群标度的函数。这揭示了标准估计的局限性,它依赖于两个标度的识别,并有助于澄清希格斯势的亚稳定性的一个可能性质的起源。我们证明了在高尺度(Gut或Planck尺度)引入由基本理论引起的高维算符可以松弛由绝对稳定性判据得到的Higgs质量的传统下界。本文是西奥·墨菲会议特刊《希格斯宇宙学》的一部分。
We summarize results for local and global properties of the effective potential for the Higgs boson obtained from the functional renormalization group, which allows one to describe the effective potential as a function of both scalar field amplitude and renormalization group scale. This sheds light onto the limitations of standard estimates which rely on the identification of the two scales and helps in clarifying the origin of a possible property of meta-stability of the Higgs potential. We demonstrate that the inclusion of higher-dimensional operators induced by an underlying theory at a high scale (GUT or Planck scale) can relax the conventional lower bound on the Higgs mass derived from the criterion of absolute stability. This article is part of the Theo Murphy meeting issue ‘Higgs cosmology’.