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arXiv 1407.3141hep-phastro-ph.CO
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暴胀过程中的时空曲率和Higgs稳定性

Spacetime curvature and the Higgs stability during inflation

Matti Herranen, Tommi Markkanen, Sami Nurmi, Arttu Rajantie

备注：
5 pages, 4 figures. Version published in PRL
发表信息：
Phys. Rev. Lett. 113, 211102 (2014)
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摘要：

有人认为，在BICEP 2提出的高暴胀尺度下，由于$H$级的大涨落，电弱真空在暴胀过程中可能是不稳定的。在单圈水平上计算了包含紫外光诱导曲率修正的标准模型Higgs有效势。我们发现，对于一个高暴胀规模的大曲率质量产生由于RG运行的非最小耦合$ξ$，这要么稳定的潜力对波动$ξ_{\rm EW} \gtrsim 6\cdot 10^{-2}$，或不稳定时，产生的曲率质量为负的$ξ_{\rm EW} \lesssim 2 \cdot 10^{-2}$。只有在狭窄的中间区域中，曲率质量的影响可能明显较小。

英文摘要：

It has been claimed that the electroweak vacuum may be unstable during inflation due to large fluctuations of order $H$ in case of a high inflationary scale as suggested by BICEP2. We compute the Standard Model Higgs effective potential including UV-induced curvature corrections at one-loop level. We find that for a high inflationary scale a large curvature mass is generated due to RG running of non-minimal coupling $ξ$, which either stabilizes the potential against fluctuations for $ξ_{\rm EW} \gtrsim 6\cdot 10^{-2}$, or destabilizes it for $ξ_{\rm EW} \lesssim 2 \cdot 10^{-2}$ when the generated curvature mass is negative. Only in the narrow intermediate region the effect of the curvature mass may be significantly smaller.

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