Lee模型中希格斯玻色子的轻性与自发CP破坏
Lightness of Higgs Boson and Spontaneous CP Violation in Lee Model
摘要：
基于Lee模型，我们提出了一种将希格斯玻色子的轻性与CP破坏的小性相关联的机制，即自发CP破坏的双Higgs二重态模型.在这个模型中，最轻的希格斯玻色子$m_h$的质量以及$K$和$J$的量在极限$t_βs_ξ\rightarrow0$（$t_β$和$ξ$的定义见正文），即CP守恒极限中是$\propto t_βs_ξ$。这里$K$和$J$分别是标量和汤川扇区中CP破坏效应的度量。这是一种新的方式来理解为什么在LHC发现的希格斯玻色子是轻的。我们研究了高能LHC数据和大量低能实验的重要约束，特别是电子和中子的EDM测量以及B介子和K介子的数量。面对所有的数据，我们发现这个模型仍然是可行的。应该强调的是，这种情况没有标准模型的限制，因此它总是可以在未来的实验中进行测试。发现额外的中性带电希格斯玻色子，测量它们的CP性质和变味衰变，是确定Lee模型的关键。在具有$\sqrt{s}=14\textrm{TeV}$的LHC中，如果在$b\bar{b}$衰变通道或任何矢量玻色子融合（VBF）、V+H产生通道中存在显著抑制，则这种情况是有利的。相反，如果信号强度越来越像标准模型，则将是不利的。通过精确测量希格斯玻色子的产生截面，在未来的$e^+e^-$对撞机上，可以很容易地用几个$\textrm{fb}^{-1}$在$(3\sim5)σ$水平上排除它。
英文摘要：
We propose a mechanism in which the lightness of Higgs boson and the smallness of CP-violation are correlated based on the Lee model, namely the spontaneous CP-violation two-Higgs-doublet-model. In this model, the mass of the lightest Higgs boson $m_h$ as well as the quantities $K$ and $J$ are $\propto t_βs_ξ$ in the limit $t_βs_ξ\rightarrow0$ (see text for definitions of $t_β$ and $ξ$), namely the CP conservation limit. Here $K$ and $J$ are the measures for CP-violation effects in scalar and Yukawa sectors respectively. It is a new way to understand why the Higgs boson discovered at the LHC is light. We investigated the important constraints from both high energy LHC data and numerous low energy experiments, especially the measurements of EDMs of electron and neutron as well as the quantities of B-meson and kaon. Confronting all data, we found that this model is still viable. It should be emphasized that there is no standard-model limit for this scenario, thus it is always testable for future experiments. In order to pin down Lee model, it is important to discover the extra neutral and charged Higgs bosons and measure their CP properties and the flavor-changing decays. At the LHC with $\sqrt{s}=14\textrm{TeV}$, this scenario is favored if there is significant suppression in the $b\bar{b}$ decay channel or any vector boson fusion (VBF), V+H production channels. On the contrary, it will be disfavored if the signal strengths are standard-model-like more and more. It can be easily excluded at $(3\sim5)σ$ level with several $\textrm{fb}^{-1}$ at future $e^+e^-$ colliders, via the accurately measuring the Higgs boson production cross sections.
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