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arXiv 2111.02464astro-ph.COgr-qchep-phhep-th
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EW真空不稳定性的宇宙学意义:暴胀对希格斯-曲率耦合的限制

Cosmological implications of EW vacuum instability: constraints on the Higgs-curvature coupling from inflation

Andreas Mantziris

摘要:

目前实验测量的标准模型(SM)的参数表明,我们的宇宙位于一个亚稳的电弱真空中,希格斯场很容易发生真空衰变到一个较低的状态,造成灾难性的后果。我们的测量表明,这样的事件还没有发生,尽管在我们过去的光锥中有许多不同的机制可以触发它。我们工作的重点是计算虚真空在暴胀期间衰变的概率,并用它来约束最后一个未知的可重整SM参数$ξ$,它将希格斯场与时空曲率耦合起来。更具体地说,我们推导出较低的$ξ$ -边界真空稳定性的三个暴胀模型:二次和四次混沌暴胀,和Starobinsky一样的幂律暴胀。我们还考虑了哈勃速率的时间依赖性,无论是在我们过去的光锥的几何形状和希格斯有效势,这是近似与三圈重整化组的改进补充单圈曲率修正。

英文摘要:

The current experimentally measured parameters of the Standard Model (SM) suggest that our Universe lies in a metastable electroweak vacuum, where the Higgs field is prone to vacuum decay to a lower state with catastrophic consequences. Our measurements dictate that such an event has not taken place yet, despite the many different mechanisms that could have triggered it in our past light-cone. The focus of our work has been to calculate the probability of the false vacuum to decay during the period of inflation and use it to constrain the last unknown renormalisable SM parameter $ξ$, which couples the Higgs field with space-time curvature. More specifically, we derived lower $ξ$-bounds from vacuum stability in three inflationary models: quadratic and quartic chaotic inflation, and Starobinsky-like power-law inflation. We also took the time-dependence of the Hubble rate into account both in the geometry of our past light-cone and in the Higgs effective potential, which is approximated with three-loop renormalisation group improvement supplemented with one-loop curvature corrections.

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