| Summary: | 博士 === 國立清華大學 === 物理學系 === 88 === 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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