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研究生： 陳文桂
Van Que Tran
論文名稱： 新粒子物理模型中的帶電輕子變味反應與雙希格斯粒子生成反應
Charged Lepton Flavor Violating Processes and Double Higgs Boson Production in New Particle Physics Models
指導教授： 張嘉泓
Chang, Chia-Hung
阮自強
Yuan, Tzu-Chiang
學位類別： 博士
Doctor
系所名稱： 物理學系
Department of Physics
論文出版年： 2018
畢業學年度： 106
語文別： 英文
論文頁數： 138
中文關鍵詞： 帶電輕子變味反應 、希格斯粒子 、新粒子物理
英文關鍵詞： Flavor Puzzles, Higgs Physics, Beyond Standard Model
DOI URL： http://doi.org/10.6345/DIS.NTNU.DP.007.2018.B04
論文種類： 學術論文
相關次數： 點閱：136  下載：9 
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    • In this thesis, I study several important topics in two different frontiers of particle physics.
    In the high intensity frontier, I study the charged lepton flavor violating radiative decays, muon-to-electron conversion in nuclei and electric dipole moments of electron and neutron in the electroweak-scale right-handed neutrino model proposed by Hung. The relevant parameters in the model are constrained by the latest limit from MEG for the radiative decay rate of muon into electron, the current experimental limits (SINDRUM II) and projected sensitivities (Mu2e, COMET and PRISM) for the muon-to-electron conversion rates in various nuclei and the latest limits for electron and neutron electric dipole moments from ACME experiment and ILL collaboration respectively. Overall, depending on the mirror fermion masses and mixing scenarios in the model, it turns out that the most stringent constraint is from the ACME experiment for the electron electric dipole moment which suggests the new Yukawa couplings of leptons should be minuscule of order $10^{-4}$ to $10^{-5}$, while the current limit on neutron electric dipole moment from ILL collaboration constrains the new Yukawa couplings of quarks to be of order $10^{-4}$.
    In the high energy frontier, I investigate the 125 GeV Higgs boson pair production at
    the Large Hadron Collider (LHC), which is a possible way to measure the trilinear Higgs self-coupling,
    in the new gauged two Higgs doublet model constructed recently by Huang, Tsai and Yuan.
    Both theoretical and experimental constraints on the parameter space of the model are taken into account. Theoretical constraints include the tree level vacuum stability and perturbative unitarity, while experimental constraints include the Higgs measurements at the LHC, PLANCK's relic density and direct search limits
    at XENON1T and PandaX-II of dark matter. I discuss impacts of these constraints on the total cross section of Higgs boson pair production in the model.
    I show that with additional contributions from the heavy scalar resonances
    as well as possible modifications in the 125 GeV Higgs self-coupling and extra self-couplings among different Higgses within the model, the total cross section of this process can be enhanced about one order of magnitude larger than the Standard Model prediction. Kinematic distributions of the two final states of $b\bar{b}\gamma\gamma$ and $b\bar{b}b\bar{b}$ at the LHC are also discussed.

    List of figures ....... xv List of tables .......xix 1 Introduction ........1 2 An Overview of the Standard Model ........5 2.1 Matter Particles and Interactions ........ 5 2.2 The SM Gauge Interactions and Symmetry Breaking ......... 7 3 The Electroweak-Scale νR Model .........13 3.1 Motivation......... 13 3.2 The Particle Content ........ 14 3.3 Neutrino Masses and Mixings ....... 17 3.4 Charged Fermion Masses and Mixings.......... 20 3.4.1 Charged LeptonSector...... 20 3.4.2 Quark Sector ....... 22 3.5 Phenomenological Constraints ....... 23 3.5.1 Electroweak Precision Constraints [24] ..... 23 3.5.2 The 125-GeV SM-like Scalar Constraints [25] ........ 24 4 Low-energy Constraints in the EW-νR Model ....... 27 4.1 The μ→eγ Process...... 27 4.1.1 Overview....... 27 4.1.2 Analytical Expressions........ 28 4.1.3 Numerical Analysis......... 30 4.1.4 Implications ......... 41 4.1.5 Summary.......... 42 4.2 μ−e ConversioninNuclei........ 43 4.2.1 Overview........ 43 4.2.2 Effective Lagrangian for μ−e Conversion ....... 44 4.2.3 The Calculation....... 48 4.2.4 The Relation Between μ−e Conversion and μ→eγ ....... 59 4.2.5 Numerical Analysis........ 62 4.2.6 Summary...... 71 4.3 Electron Electric Dipole Moment....... 72 4.3.1 Overview...... 72 4.3.2 Charged Lepton Electric Dipole Moments ...... 73 4.3.3 Numerical Analysis....... 74 4.3.4 Summary ..... 81 4.4 Neutron EDM ..... 81 4.4.1 Overview..... 81 4.4.2 Neutron EDM Formulas ....... 82 4.4.3 Numerical Analysis........ 87 4.4.4 Summary..... 90 4.5 Conclusion ..... 92 5 Double Higgs Boson Production in G2HDM at the LHC..... 93 5.1 The G2HDM Model ....... 93 5.1.1 Motivation ......... 93 5.1.2 The Matter Content ....... 94 5.1.3 Higgs Potential....... 95 5.1.4 Spontaneous Symmetry Breaking and Scalar Mass Spectrum ......... 97 5.1.5 Theoretical and Higgs Phenomenological Constraints [125] ...... 99 5.2 Double Higgs Boson Production in G2HDM at the LHC ..... 100 5.2.1 Motivation ........ 100 5.2.2 Relevant Couplings and Production Cross Section ..... 102 5.2.3 Numerical Results ........ 104 5.2.4 Conclusion ......... 117 6 Summary ..... 119 Appendix A Formulas for I ,J ,Ii0 (i = 1,... ,5) ......... 123 Appendix B Useful Formulas used in Sec. 4.3 ........125 B.1 Decay Length of Mirror Leptons..........125 B.2 Muon Anomaly...............125 B.3 μ−e Conversion and RadiativeDecay μ→eγ .......126 References ....129

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