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研究生: 劉元龍
Liu, Yuan-Lung
論文名稱: MSSM with Dimension-Five Operators
加入五維作用子的最小超對稱性標準模型
指導教授: 張維甫
Chang, We-Fu
口試委員:
學位類別: 碩士
Master
系所名稱: 理學院 - 物理學系
Department of Physics
論文出版年: 2009
畢業學年度: 97
語文別: 英文
論文頁數: 32
中文關鍵詞: 最小超對稱性標準模型超越最小超對稱性標準模型電偶極超對稱
外文關鍵詞: MSSM, BMSSM, EDM, Supersymmetry
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  • The minimal supersymmetric extented standard model (MSSM), is one of the most popular
    models beyond the standard model. But there still exits some problems in MSSM:
    the lightest Higgs particle in MSSM is not heavy enough to fit the current experimental
    result. And there is also very strong constraint on the CP phase (the μ phase) from the
    measurement of the electric dipole moment (EDM), which implies the CP phase at less
    than 103 order, the so-called SUSY CP problem.
    The origin of supersymmetric breaking terms is quite also a mystery. Minimal gauge
    mediated supersymmetry breaking (mGMSB), being one of the scenarios that can provide
    the soft terms, throw the mystery off to a higher energy scale, but still leaves some
    problems like, the μ-Bμ problem.
    With the dimension-five operators in Higgs sector introduced by Dine, one can lift
    Higgs mass as represented in Dine's paper. The new operators also come into the rotation matrices
    of Higgs particles and their superpartners, and make new contributions to the EDM
    of fermions. In this report, we calculate these new effect and see how to release the
    constraint on phase of μ in the presence of dimension-five operators.


    1 Introduction 2 1.1 A Toy Model and its Full Lagrangian . . . . . . . . . . . . . . . . . . . . 2 2 MSSM Review 5 2.1 The Particle Content . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 5 2.2 The MSSM Lagrangian . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 2.3 The Mass Spectrum of MSSM . . . . . . . . . . . . . . . . . . . . . . . . 7 2.3.1 electroweak symmetry breaking . . . . . . . . . . . . . . . . . . . 7 2.3.2 MSSM Higgs Sector . . . . . . . . . . . . . . . . . . . . . . . . . . 8 2.3.3 the higgsino-gaugino mixing . . . . . . . . . . . . . . . . . . . . . 10 2.3.4 sfermions spectrum . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.4 The Origins of Soft Terms: mGMSB . . . . . . . . . . . . . . . . . . . . 11 2.4.1 Numerical results . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.5 Problems in MSSM . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2.5.1 the Higgs mass . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 2.5.2 the CP problem . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15 3 Dimension-Five Operators 16 3.1 Higgs sector with D5 operators . . . . . . . . . . . . . . . . . . . . . . . 17 3.1.1 CP-Conserved D5 Operators . . . . . . . . . . . . . . . . . . . . . 18 3.1.2 CP-Violating D5 Operators . . . . . . . . . . . . . . . . . . . . . 19 3.2 Neutralino, chargino masses and mixings . . . . . . . . . . . . . . . . . . 20 4 The Electric Dipole Moment 22 4.1 D5 Operators contributions . . . . . . . . . . . . . . . . . . . . . . . . . 23 5 Conclusions And Outlook 25 A The Reduction of D5 operators 26 B Detailed Calculation of EDM 29 B.1 contribution from a charged sfermion . . . . . . . . . . . . . . . . . . . . 29 B.2 contribution from chargino . . . . . . . . . . . . . . . . . . . . . . . . . . 30 Bibliography 32

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