本論文是由基本粒子物理學中的專題研究所組成 .
其中一部分是關於在最小超對稱標準模型中加入

R-宇稱破壞作用項 . 我同時考慮二次以及三次R-宇稱破壞作用項

並且在單一真空期望值的參數表現下研究無微中子之雙貝塔衰變

對R-宇稱破壞作用參數之實驗限制 .

此外 , 我也研究了R-宇稱破壞作用項對B介子衰變的影響 .

我指出在目前實驗所給出的參數上限內 , R-宇稱破壞作用項

可以給出很大的電荷共軛-宇稱 不對稱量 . 這個電荷共軛-宇稱 不對稱量可以被實驗測量 .

本論文中也研究了輕奇宇稱純量粒子的現象學 . 我們計算了輕奇宇稱純量粒子對緲子(g-2) 因子的二圈圖貢獻 . 我們發現輕奇宇稱純量粒子對緲子(g-2) 因子的二圈圖貢獻和電弱交互作用的貢獻差不多大並可望在實驗中測量檢驗 .

本論文中也研究了超對稱量子場論的對偶性問題 . 我們推廣了並得到deconfinement 的更一般方法 . 我們並給了一些應用 .

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In this thesis , we study some special topics in
particle physics . One is about the R-parity breaking sector in

the minimal supersymmetric standard model (MSSM) . We give a

detail study in the R-parity breaking sector including both

trilinear and bilinear breaking terms within the single VEV

convention .

We show that neutrinoless

double beta decay can give rise to strong constraints on the

quadratic interaction $\mu_i$ that break both lepton number and R

parity in supersymmetric theories .

We demonstrate that the R-parity breaking

interactions within their current experimental upper bounds can

give rise to large CP asymmetry in radiative B decays that

may be detectable in the upcoming B factories .

We calculate the dominant two loop contributions to

the the muon (g-2) due to the exotic Higgs boson sector that

exists in most extensions of the Standard Model . The leading

effects comes from diagrams of the Barr-Zee type . We show that

the pseudoscalar Higgs boson can give rise to contribution as

large as the electroweak contributions that are measureable in

the next round of (g-2) experiment . We also calculate the

scalar Higgs contribution which is roughly one order of magnitude

smaller .

By expanding the method of deconfinement , we present

new dual descriptions for an ${\cal N}&=1 SUSY SU(N) gauge

theory with matter in anti-symmetric tensor , fundamental , and

anti-fundamental representations . The idea of generalized method

of deconfinement is that one can not only treat the rank-two

tensor but also the quarks in the fundamental representation as

bound states of another auxiliary gauge group . We also give some

applications in the chiral-nonchiral dual pairs .

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