论文标题
具有多政治点原理模型中的重力波
Gravitational waves in models with multicritical-point principle
论文作者
论文摘要
多政治点原理（MPP）自然地解释了普朗克和伊莱克克量表之间的大层次结构。我们考虑了一种场景，其中MPP应用于两个真实的单元标量符号字段$ ϕ $和$ s $扩展的标准模型，并且通过真空期望值为$ ϕ $发生了尺寸transmot。在本文中，我们专注于拥有$ \ Mathbb z_2 $对称$ s \ rightarrow -s $的关键点，所有其他字段都是不变的。然后$ s $成为自然的暗物质（DM）候选人。此外，我们专注于$ ϕ $不具有进一步的$ \ mathbb z_2 $对称性的关键点，因此没有宇宙域壁问题。在这样的关键点中，我们专注于最大关键点，称为CP-1234，该cp-1234固定所有可超大型参数。我们表明，仍然存在一个满足DM遗物丰度，DM直接检测结合和当前LHC约束的参数区域。在该区域，我们在TEV规模温度周围的早期宇宙中发现了一阶相变。最终的引力波的峰值振幅为$ {\ cal o}（10^{ - 12}）$，频率为$ 10^{ - 2} $ - $ 10^{ - 1} $ Hz，可以通过诸如DECIGO和BBO等未来空间的仪器进行测试。
The multicritical-point principle (MPP) provides a natural explanation of the large hierarchy between the Planck and electroweak scales. We consider a scenario in which MPP is applied to the Standard Model extended by two real singlet scalar fields $ϕ$ and $S$, and a dimensional transmutation occurs by the vacuum expectation value of $ϕ$. In this paper, we focus on the critical points that possess a $\mathbb Z_2$ symmetry $S\rightarrow -S$ and all the other fields are left invariant. Then $S$ becomes a natural dark matter (DM) candidate. Further, we concentrate on the critical points where $ϕ$ does not possess further $\mathbb Z_2$ symmetry so that there is no cosmological domain-wall problem. Among such critical points, we focus on maximally critical one called CP-1234 that fix all the superrenormalizable parameters. We show that there remains a parameter region that satisfies the DM relic abundance, DM direct-detection bound and the current LHC constraints. In this region, we find a first-order phase transition in the early universe around the TeV-scale temperature. The resultant gravitational waves are predicted with a peak amplitude of ${\cal O}(10^{-12})$ at a frequency of $10^{-2}$-$10^{-1}$ Hz, which can be tested with future space-based instruments such as DECIGO and BBO.
