引力和希格斯玻色子质量的渐近安全性
Asymptotic safety of gravity and the Higgs boson mass
摘要：
有迹象表明，重力是渐近安全的。标准模型（SM）加引力可以有效地达到任意高的能量。假设情况确实如此，并假设在费米尺度和普朗克尺度之间没有中间能量尺度，那么我们就提出了能否预测希格斯玻色子$m_H$的质量的问题。对于正引力诱导的反常维数$A_λ>0$，四次标量自相互作用$λ$在普朗克质量以外的尺度上的运行是由零处的不动点决定的。这导致$m_H=m_{\rm min}=126$ GeV，只有几个GeV的不确定性。这种预测是独立的短距离运行的细节，并举行了广泛的一类扩展的SM以及。对于$A_λ<0$，人们发现$m_H$在$m_{\rm min}< m_H < m_{\rm max}\simeq 174$ GeV区间内，现在对$A_λ$和短距离跑步的其他属性敏感。$A_λ>0$的情况下，显式计算存在于文献中的青睐。
英文摘要：
There are indications that gravity is asymptotically safe. The Standard Model (SM) plus gravity could be valid up to arbitrarily high energies. Supposing that this is indeed the case and assuming that there are no intermediate energy scales between the Fermi and Planck scales we address the question of whether the mass of the Higgs boson $m_H$ can be predicted. For a positive gravity induced anomalous dimension $A_λ>0$ the running of the quartic scalar self interaction $λ$ at scales beyond the Planck mass is determined by a fixed point at zero. This results in $m_H=m_{\rm min}=126$ GeV, with only a few GeV uncertainty. This prediction is independent of the details of the short distance running and holds for a wide class of extensions of the SM as well. For $A_λ<0$ one finds $m_H$ in the interval $m_{\rm min}< m_H < m_{\rm max}\simeq 174$ GeV, now sensitive to $A_λ$ and other properties of the short distance running. The case $A_λ>0$ is favored by explicit computations existing in the literature.
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