自發性CP破缺相角與CKM矩陣相角比較之研究

Spontaneous CP Violating Phase and CKM Matrix Phase

蔡律行(Lu-Hsing Tsai)

指導教授 ： 何小剛

國立臺灣大學/理學院/物理研究所/碩士(2008年)

https://doi.org/10.6342/NTU.2008.01178

摘要

在這篇論文我們研究自發性CP破缺相角與Cabibbo-Kobayashi-Maskawa(CKM)矩陣相角的連結。我們先介紹在標準模型中的CP破缺，以及自發性CP破缺，然後提出一類新的模型來連結在CKM混合矩陣中的CP破缺相角和由Higgs位能中自發性CP破缺所產生的CP相角。建立一個多重Higgs伴隨Peccei-Quinn(PQ)對稱的模型來實現這個概念。這個模型有一些有趣的現象學含義。當所有Higgs的質量變大時CP破缺相角並不會消失。一般來說，在樹狀層級時會有中性Higgs傳遞的味變化中性流(FCNC)交互作用。然而，跟一般多重Higgs模型不同的是，FCNC的Yuwaka耦合會被夸克的質量和CKM混合角所確定。我們也詳細研究了關於中性介子的混合與中子的電偶極矩實驗數據所衍生的涵義。

關鍵字

CKM矩陣相角 ； 自發性CP破缺相角 ； 多重Higgs模型 ； Yukawa 耦合 ； Peccei-Quinn 對稱

並列摘要

In this thesis we study the connection between the spontaneous CP violating phase and the Cabibbo-Kobayashi-Maskawa (CKM) matrix phase. At first an introduction to CP violation in the Standard Model is presented, following by the spontaneous CP violation, and then a new class of models is proposed to connect the CP violating phase in the CKM mixing matrix with the CP phases responsible for the spontaneous CP violation in the Higgs potential. A multi-Higgs model with Peccei-Quinn(PQ) symmetry is constructed to realize this idea. This model has some interesting phenomenological implications. The CP violating phase does not vanish when all Higgs masses become large. In general, there are flavor changing neutral current (FCNC) interactions mediated by neutral Higgs bosons at the tree level. Unlike the general multi-Higgs models, however, the FCNC Yukawa couplings are fixed in terms of the quark masses and CKM mixing angles. Implications from experimental data for neutral meson mixing and the neutron electric dipole moment are well-studied.

並列關鍵字

CKM matrix phase ； spontaneous CP violating phase ； multi-Higgs model ； Yukawa couplings ； Peccei-Quinn symmetry

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