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arXiv 0903.0355hep-phhep-th
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论希格斯暴胀的自然性

On the Naturalness of Higgs Inflation

J. L. F. Barbon, J. R. Espinosa

备注：
9 pages. Replaced with published version, plus a footnote clarifying the use of power counting estimates
发表信息：
Phys.Rev.D79:081302,2009
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摘要：

我们严格审查最近的说法，标准模型希格斯玻色子${\cal H}$可以驱动通货膨胀与观察一致，如果$|{\cal H}|^2$有一个强耦合$ξ\sim 10^4$的里奇曲率标量。我们首先表明，有效的理论方法，声称是基于不再是有效的截止尺度$Λ=m_p/ξ$，其中$m_p$是减少普朗克质量。然后，我们认为，知道的希格斯势轮廓的字段值相关的通货膨胀（$|{\cal H}|>m_p/\sqrtξ\gg Λ$）需要的知识，紫外线完成的SM超越$Λ$。在没有这种微观理论的情况下，将纯SM势外推到$Λ$之外是没有根据的，这种情况类似于其他受到显著微调影响的特设暴胀子势。因此，这个最低限度的建议的吸引人的自然性就失去了。

英文摘要：

We critically examine the recent claim that the Standard Model Higgs boson ${\cal H}$ could drive inflation in agreement with observations if $|{\cal H}|^2$ has a strong coupling $ξ\sim 10^4$ to the Ricci curvature scalar. We first show that the effective theory approach upon which that claim is based ceases to be valid beyond a cutoff scale $Λ=m_p/ξ$, where $m_p$ is the reduced Planck mass. We then argue that knowing the Higgs potential profile for the field values relevant for inflation ($|{\cal H}|>m_p/\sqrtξ\gg Λ$) requires knowledge of the ultraviolet completion of the SM beyond $Λ$. In absence of such microscopic theory, the extrapolation of the pure SM potential beyond $Λ$ is unwarranted and the scenario is akin to other ad-hoc inflaton potentials afflicted with significant fine-tuning. The appealing naturalness of this minimal proposal is therefore lost.

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