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研究生: 盧致廷
Lu, Chih Ting
論文名稱: 在大型強子對撞機中進一步探索希格斯玻色子的性質
The properties of Higgs boson in the further LHC search
指導教授: 張敬民
Cheung, Kingman
口試委員: 阮自強
Yuan,Tzu-Chiang
徐百嫻
Hsu, Pai Hsien
李湘楠
Li, Hsiang Nan
林貴林
Lin, Guey Lin
張維甫
Chang, We Fu
李在植
Lee, Jae Sik
學位類別: 博士
Doctor
系所名稱: 理學院 - 物理學系
Department of Physics
論文出版年: 2015
畢業學年度: 103
語文別: 英文
論文頁數: 155
中文關鍵詞: 希格斯玻色子大型強子對撞機超對稱模型雙規範玻色子散射頂夸克與希格斯玻色子的耦合
外文關鍵詞: Higgs boson, LHC, UMSSM model, WW Scattering, Top-Yukawa Coupling
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  • 在 2012 年 7 月大型強子對撞機發現質量為 125~126 GeV 的新粒子。這個新粒子可能就是在 1960 年代提出來傳聞已久標準模型裡的希格斯玻色子或超越標準模型中的其中一個希格斯玻色子。
    基於利用不同時期關於希格斯玻色子耦合係數數據的整體分析,我們提出以下關於希格斯玻色子性質的探索:
    首先,我們利用額外 U(1) 延伸的 MSSM 模型(UMSSM)去解釋提高的雙光子率在收集完 2012 年的數據後,我們也預測了 Z 光子率和探討其他在 UMSSM 模型中類似希格斯玻色子的性質。
    接著,有更多關於這個新粒子的數據收集在 2012~2013 年期間建議這個新粒子極有可能就是傳聞已久標準模型裡的希格斯粒子。一個理論學家急迫想問的問題便是這個希格斯玻色子是否完全解釋自發對稱破缺?目前的數據仍然允許其他的希格斯玻色子或其他 UV 物理去同時解釋自發對稱破缺。我們利用雙規範玻色子散射實驗去探索這些可能性,並且利用 2HDM 模型當做原型。
    最後,關於希格斯玻色子耦合係數最近數據的整體分析顯示規範玻色子與希格斯玻色子的耦合係數非常接近標準模型的預測,但是頂夸克,底夸克與希格斯玻色子的耦合係數仍然無法有如此好的準確度。因此我們建議利用偵測單一頂夸克伴隨希格斯玻色子的實驗去決定頂夸克與希格斯玻色子耦合係數的正負號與大小。


    A new particle with mass of 125~126 GeV was discovered at the Large
    Hadron Collider (LHC) in July 2012. This may be the long-sought Higgs
    boson of the standard model (SM), which was proposed in the 1960's, or one
    of the Higgs beyond the SM.
    Based on a global analysis of all the Higgs couplings using all the available
    data at different stages, we propose the following projects to explore the
    properties of Higgs boson :
    First, we use the extra U(1) extended MSSM (UMSSM) to explain the
    enhanced diphoton rate after collecting data at the end of 2012. We also
    predict the Z photon production rate and study the properties of the other Higgs bosons in the UMSSM.
    Second, more evidences of this new particle have been collected at the
    LHC during 2012~2013 suggesting the new boson is likely to be the long-sought Higgs boson in the SM. One pressing question theorists continue
    to ask is whether this Higgs boson is a lone player responsible for the full
    electroweak symmetry breaking. Data at that stage still allows room for
    additional Higgs bosons or some other UV physics that may play a partial
    role in the electroweak symmetry breaking as well. We use WW scattering to investigate such a possibility, using the two-Higgs-doublet model as a
    prototype.
    Finally, the global study of all the Higgs couplings using current data
    shows that the gauge-Higgs coupling is very close to the SM value, but
    the Top- and Bottom-Yukawa couplings cannot be determined as precise
    as gauge-Higgs coupling. We suggest probing the Top-Yukawa coupling in
    associated Higgs production with a single Top Quark to pin down both the
    sign and size of the Top-Yukawa coupling.

    1 Preliminary 1 1.1 The Higgs Mechanism . . . . . . . . . . . . . . . . . . . . . . 1 1.1.1 An Abelian Example . . . . . . . . . . . . . . . . . . . 2 1.1.2 The Higgs mechanism in the Electroweak Stand Model 4 1.2 Higgs Boson Couplings and Decays in the Standard Model . . 13 1.3 Higgs Boson Production in the Standard Model . . . . . . . . 17 1.4 The present stage of Higgs search at the LHC . . . . . . . . . 18 1.5 The further search of Higgs properties at the LHC . . . . . . . 21 2 Diphoton Rate of the Standard-Model-Like Higgs Boson in the Extra U(1) Extended MSSM 1 2.1 Motivation and Introduction . . . . . . . . . . . . . . . . . . . 1 2.1.1 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . 1 2.1.2 Introduction . . . . . . . . . . . . . . . . . . . . . . . . 3 2.2 UMSSM model . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.3 Couplings relevant for Higgs decays . . . . . . . . . . . . . . . 12 2.3.1 Higgs couplings to gauge bosons . . . . . . . . . . . . . 12 2.3.2 Yukawa couplings . . . . . . . . . . . . . . . . . . . . . 13 2.3.3 Higgs couplings to the neutralinos . . . . . . . . . . . . 14 2.3.4 One loop decays of the CP-even Higgs bosons . . . . . 16 2.4 Scanning of Parameter Space . . . . . . . . . . . . . . . . . . 17 2.4.1 Constraints . . . . . . . . . . . . . . . . . . . . . . . . 19 2.4.2 Numerical Results . . . . . . . . . . . . . . . . . . . . 22 2.5 DISCUSSION AND CONCLUSIONS . . . . . . . . . . . . . . 25 3 WW Scattering in the Era of Post Higgs Discovery 1 3.1 MOTIVATION AND INTRODUCTION . . . . . . . . . . . . 1 3.1.1 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . 1 3.1.2 Introduction . . . . . . . . . . . . . . . . . . . . . . . . 2 3.2 LONGITUDINAL WEAK GAUGE BOSONS SCATTERING 5 3.2.1 The Goldstone Boson Equivalence Theorem and E ective W-boson approximation (EWA) . . . . . . . . . . 5 3.2.2 W^+_L W^-_L -> W^+_L W^-_L amplitudes . . . . . . . . . . . . . . 8 3.2.3 Partial wave coefficients . . . . . . . . . . . . . . . 11 3.3 Experimental Cuts for VBF and Numerical Results . . . . . . 14 3.4 Conclusion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 4 Probing the Top-Yukawa Coupling in Associated Higgs pro- duction with a Single Top Quark 1 4.1 MOTIVATION AND INTRODUCTION . . . . . . . . . . . . 1 4.1.1 Motivation . . . . . . . . . . . . . . . . . . . . . . . . . 1 4.1.2 Introduction . . . . . . . . . . . . . . . . . . . . . . . . 2 4.2 Formalism . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 4.3 Variation of Cross Sections . . . . . . . . . . . . . . . . . . . . 7 4.3.1 qb -> thq' . . . . . . . . . . . . . . . . . . . . . . . . . 8 4.3.2 gq -> thq'bbar . . . . . . . . . . . . . . . . . . . . . . . . . 9 4.3.3 gb -> thW . . . . . . . . . . . . . . . . . . . . . . . . . 10 4.3.4 qq'bar -> thbbar . . . . . . . . . . . . . . . . . . . . . . . . . 10 4.3.5 Variation of the cross sections versus C^P_t . . . . . . . . 10 4.4 Potential at the LHC . . . . . . . . . . . . . . . . . . . . . . . 12 4.4.1 Semileptonic top decay . . . . . . . . . . . . . . . . . . 16 4.4.2 Hadronic top decay . . . . . . . . . . . . . . . . . . . . 26 4.4.3 Distinction among C^S_t = 1, 0, -1 . . . . . . . . . . . . . 29 4.5 Discussion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 5 Conclusion and Outlook 37 A Loop Functions 41 B Amplitude of qb -> thq' in the e ective W approximation 47

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