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arXiv 1502.03093hep-phhep-th
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量子引力对标准模型有效势和真空稳定性的贡献

Quantum Gravitational Contributions to the Standard Model Effective Potential and Vacuum Stability

Florian Loebbert, Jan Plefka

摘要:

在有效场论的框架下,计算了量子引力对标准模型有效势的贡献,分析了量子引力对Higgs真空稳定性的影响. Einstein引力的不可重整化性在单圈水平上诱导了具有新耦合$η_{1/2}$的高维$ϕ^{6}$和$ϕ^{8}$算符.建立了这些耦合的β函数,并研究了引力对电弱真空稳定性的影响。我们发现,真正的最小值的标准模型有效势现在低于普朗克尺度几乎整个参数空间($η_{1/2}(m_\text{t})> 0.01$)。此外,量子引力被证明有助于标准模型非线性光学有效势的最小值在百分比水平。量子引力诱导的贡献产生一个亚稳真空的流动耦合$η_{1/2}$的参数空间的大部分。

英文摘要:

We compute the quantum gravitational contributions to the standard model effective potential and analyze their effects on the Higgs vacuum stability in the framework of effective field theory. Non-renormalizability of Einstein gravity induces higher dimension $ϕ^{6}$ and $ϕ^{8}$ operators at the one-loop level with novel couplings $η_{1/2}$. The beta functions of these couplings are established and the impact of the gravity induced contributions on electroweak vacuum stability is studied. We find that the true minimum of the standard model effective potential now lies below the Planck scale for almost the entire parameter space ($η_{1/2}(m_\text{t})> 0.01$). In addition quantum gravity is shown to contribute to the minimal value of the standard model NLO effective potential at the percent level. The quantum gravity induced contributions yield a metastable vacuum for a large fraction of the parameter space in the flowing couplings $η_{1/2}$.

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