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arXiv 1508.04777hep-phastro-ph.COgr-qchep-th
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电弱真空稳定性和通过引力的非最小导数耦合的暴胀

Electroweak vacuum stability and inflation via non-minimal derivative couplings to gravity

Stefano Di Vita, Cristiano Germani

摘要:

我们表明,标准模型真空可以稳定,如果所有的粒子传播子是非最小耦合到重力。这是由于一个希格斯背景相关的重新定义的标准模型领域:在正则变量和大希格斯场的限制,量子涨落的重新定义的领域被抑制的希格斯背景。因此,在这种情况下,对树能级电弱势的量子修正可以忽略不计。最后,我们表明,在这个框架中的希格斯玻色子可以负责通货膨胀。由于来自CMB数据的数值重合,如果希格斯玻色子质量、顶质量和QCD耦合位于一个近似等于标准模型中允许电弱真空稳定性的参数空间区域,暴胀就可能发生。我们在标准模型参数空间中发现了一些(小)区域,其中新的相互作用“拯救”了在标准模型中不稳定的电弱真空。

英文摘要:

We show that the Standard Model vacuum can be stabilized if all particle propagators are non-minimally coupled to gravity. This is due to a Higgs-background dependent redefinition of the Standard Model fields: in terms of canonical variables and in the large Higgs field limit, the quantum fluctuations of the redefined fields are suppressed by the Higgs background. Thus, in this regime, quantum corrections to the tree-level electroweak potential are negligible. Finally, we show that in this framework the Higgs boson can be responsible for inflation. Due to a numerical coincidence that originates from the CMB data, inflation can happen if the Higgs boson mass, the top mass, and the QCD coupling lie in a region of the parameter space approximately equivalent than the one allowing for electroweak vacuum stability in the Standard Model. We find some (small) regions in the Standard Model parameter space in which the new interaction "rescues" the electroweak vacuum, which would not be stable in the Standard Model.

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