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arXiv 1503.00809hep-ph
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标准模型中的层次问题和宇宙学常数问题

The hierarchy problem and the cosmological constant problem in the Standard Model

Fred Jegerlehner

摘要:

我们认为,在希格斯阶段的SM不遭受形式的“层次问题”,同样的“宇宙学常数问题”解决本身,如果我们理解的SM作为一个低能量有效的理论出现在普朗克尺度的截止介质。我们讨论了这些问题的条件下,一个稳定的希格斯真空,这使得扩展SM的普朗克长度。裸露的希格斯玻色子质量在普朗克尺度下改变符号,这样早期宇宙中的SM处于对称相。截止增强的希格斯质量项和四次方增强的宇宙学常数项触发了早期宇宙的暴胀。裸希格斯质量与重整化希格斯质量之间的位移系数,以及裸真空能量密度与重整化真空之间的位移系数,在普朗克尺度以下的某个点上,都呈现出接近零的状态。零点是短距离和重整化低能量之间的匹配点。由于暴胀调整了总能量密度,使其取平坦宇宙的临界值Ω_tot=rho_tot/rho_crit= Ω_Lambda+ Ω_matter+ Ω_radiation}=1,很明显,如果1> Ω_matter,Ω_radiation>0,那么今天的Ω_Lambda是Ω_tot级的,这使得总密度仅饱和到约26%,主要部分是暗物质(21%)。

英文摘要:

We argue that the SM in the Higgs phase does not suffer form a "hierarchy problem" and that similarly the "cosmological constant problem" resolves itself if we understand the SM as a low energy effective theory emerging from a cut-off medium at the Planck scale. We discuss these issues under the condition of a stable Higgs vacuum, which allows to extend the SM up to the Planck length. The bare Higgs boson mass then changes sign below the Planck scale, such the the SM in the early universe is in the symmetric phase. The cut-off enhanced Higgs mass term as well as the quartically enhanced cosmological constant term trigger the inflation of the early universe. The coefficients of the shift between bare and renormalized Higgs mass as well as of the shift between bare and renormalized vacuum energy density exhibit close-by zeros at some point below the Planck scale. The zeros are matching points between short distance and the renormalized low energy quantities. Since inflation tunes the total energy density to take the critical value of a flat universe Omega_tot=rho_tot/rho_crit=Omega_Lambda+Omega_matter+Omega_radiation}=1 it is obvious that Omega_Lambda today is of order Omega_tot given that 1>Omega_matter, Omega_radiation>0, which saturate the total density to about 26 % only, the dominant part being dark matter(21 %).

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