臺灣博碩士論文加值系統

We study the phenomenology in the U(1)′-extended Minimal Supersymmetric Standard Model (UMSSM) primarily on the decays of U(1)′-extended Z′ boson and mimic SM Higgs boson. The work comprises two main parts. In the first part, the decay of the Z′ boson into supersymmetric
particles is studied. We investigate how these supersymmetric modes affect the current limits from
the Tevatron and project the expected sensitivities at the LHC. In the second part, we turn to the SM-like CP-even Higgs boson of the UMSSM. Motivated by the recent results at the LHC we use the η model of E6 with TeV
scale supersymmetry to scan the parameter space to study two scenarios of these mass ranges: (i)
130GeV < Mh_{SM−like} < 141GeV and show that the Higgs boson can decay into invisible neutralinos
to evade the SM bound; and (ii) 120GeV < Mh_{SM−like} < 130GeV and show that the Higgs boson
can avoid decaying into neutralinos and thus gives enhanced rates into visible particles.

We study the phenomenology in the U(1)′-extended Minimal Supersymmetric Standard Model (UMSSM) primarily on the decays of U(1)′-extended Z′ boson and mimic SM Higgs boson. The work comprises two main parts. In the first part, the decay of the Z′ boson into supersymmetric
particles is studied. We investigate how these supersymmetric modes affect the current limits from
the Tevatron and project the expected sensitivities at the LHC. In the second part, we turn to the SM-like CP-even Higgs boson of the UMSSM. Motivated by the recent results at the LHC we use the η model of E6 with TeV
scale supersymmetry to scan the parameter space to study two scenarios of these mass ranges: (i)
130GeV < Mh_{SM−like} < 141GeV and show that the Higgs boson can decay into invisible neutralinos
to evade the SM bound; and (ii) 120GeV < Mh_{SM−like} < 130GeV and show that the Higgs boson
can avoid decaying into neutralinos and thus gives enhanced rates into visible particles.

Contents
Acknowledgments 2
I. Introduction 6
A. Supersymmetry 6
B. Z′ Physics 11
C. UMSSM Higgs 14
I Supersymmetric Decays of the Z′ Boson
II. Z′ Interactions and Representative Models 16
A. Z′ Interactions 16
B. Including Supersymmetry 18
C. Representative Models 20
1. The sequential model 20
2. The E6 models 20
3. B − L models 21
III. Decays of Z′ 22
IV. Current Limits from the Tevatron 27
V. Projected Sensitivities at the LHC 29
VI. Supersymmetric Decay Modes 31
A. Slepton-pair Production 32
B. Neutralino-pair Production 33
C. Chargino-pair Production 36
VII. Summary I – Supersymmetric Decays of the Z′ Boson 37
II Mimicking the SM Higgs Boson in UMSSM
VIII. UMSSM Higgs Potential 38
IX. Couplings Relevant for Higgs Decays 42
A. Higgs Couplings to Gauge Bosons 42
B. Yukawa Couplings 43
C. Higgs Couplings to the Neutralinos 43
X. Scanning of Parameter Space 44
A. Constraints 45
B. The First Scenario: 130 < MhSM−like < 141 GeV 46
C. The Second Scenario: 120 < MhSM−like < 130 GeV 49
D. Understanding the above Results 52
E. The Case for hs = 0.1 57
XI. Summary II – Mimicking the SM Higgs Boson in UMSSM 57
A. Soft Supersymmetry Breaking 61
B. The μ Problem 63
C. Feynman Rules of Z′ Couplings 65
References 70

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