\part{Publication List}

%\begin{itemize}
\begin{enumerate}
\item{Higgs Physics}

\begin{enumerate}

\item
Shou Hua Zhu, Chong Sheng
Li and Chong Shou Gao, Lightest neutral Higgs boson pair
production in photon-photon
collisions in the minimal supersymmetric extension of standard model,
Phys. Rev. {\bf D58}, 015006 (1998) (22 pages).

\item
Shou Hua Zhu, Chong Sheng Li and Chong Shou Gao,
Squarks loop corrections to the charged Higgs boson pair production
in photon-photon collisions,
Phys. Rev. {\bf D58}, 055007 (1998) (12 pages).

\item
Shou Hua Zhu,
Pseudoscalar Higgs boson pair production in photon-photon collisions,
Journal of Physics G (nuclear and particle physics) 24, 1703-1721
(1998) (18 pages).

\item
Chong Sheng Li, Shou Hua Zhu and Cong Feng
Qiao,
Radiative Higgs boson decay beyond the standard model,
Phys. Rev. {\bf D57}, 6928-6933 (1998) (6 pages).

\item
Shou Hua Zhu, Chong Sheng Li and Chong Shou Gao,
Single Higgs boson production in gamma-gamma collision in minimal
supersymmetric extension of standard model, Chinese Physics Letters Vol
15, No. 2 (1998) 89 (4 pages).

\item
Chong Sheng Li
and Shou Hua Zhu,
Top quark loop corrections to the neutral Higgs boson production at
the Fermilab Tevatron, Phys. Lett. {\bf B444}, 224(1998) (6 pages).

\item
Qing Hong Cao, Chong Sheng Li and Shou Hua Zhu,
Leading Electroweak Corrections to the Neutral Higgs Boson
Production at the Fermilab Tevatron, Comm. Theor. Phys. 32, 275 (2000),
.

\item
Chao-shang Huang and Shou Hua Zhu,
Supersymmetrical Higgs bosons discovery potential at hadron collider
through bg channel, Phys. Rev. D60, 075012 (1999) (4 pages).

\item
Shou Hua Zhu,
 Charged Higgs associated production with W at linear collider,
 .


\item
Li Gang Jin, Chong Sheng Li, Robert J.
  Oakes, Shou Hua Zhu,
   Yukawa Corrections to Charged Higgs Boson Production in Association with
     a Top Quark at Hadron Colliders,
     Eur. Phys. J. C14, 91-101 (2000), .

\item
Li Gang Jin, Chong Sheng Li, Robert J.
  Oakes, Shou Hua Zhu,
   Supersymmetrical  Electroweak Corrections to Charged Higgs
Boson Production in Association with
     a Top Quark at Hadron Colliders,
     to appear in PRD (2000), .

\item
Ya-sheng Yang, Li Gang Jin, Chong Sheng Li,
Shou Hua Zhu,
 Supersymmetrical  Electroweak Corrections to Charged Higgs
Boson Production in Association with
     W through $b \bar{b}$ channel,
submitted to PRD, .

\end{enumerate}

\item FCNC

\begin{enumerate}
\item
Chao-shang Huang,
Xiao-hong Wu and Shou Hua Zhu,
Top-charm Associated production at high energy $e^+e^- $colliders in
standard model, Phys. Lett. {\bf B452}, 143 (1999) (7 pages).

\item
Chao-shang Huang,
Xiao-hong Wu and Shou Hua Zhu,
Bottom stange associated production at high energy $e^+e^-$ colliders in
standard model, J. Phys. {\bf G 25}, 2215-2223 (1999) (9 pages).

\item
Chong Sheng Li,
Xin-min Zhang, Shou Hua Zhu,
SUSY QCD effect on top charm associated production at linear
colliders, Phys. Rev. D60, 077702 (1999) (4 pages).


\end{enumerate}

\item  B Physics

\begin{enumerate}
\item
Qi-shu Yan, Chao-shang Huang,
Wei Liao and Shou Hua Zhu,
Exclusive semileptonic rare decays $B \rightarrow (K, K^*) l^+ l^-$
in supersymmetric theories,
 submitted to PRD.

\item
Chao-shang Huang,
Shou-Hua Zhu,
 $B \rightarrow X(S) \tau^+ \tau^-$ in a cp spontaneous broken
 two higgs doublet
 model, Phys. Rev. {\bf D61}, 015011 (2000), .

\end{enumerate}

\item  M-theory phenomenology

\begin{enumerate}
\item
Chao-shang Huang, Tian-jun Li,
Wei Liao, Qi-shu Yan and Shou Hua Zhu,
Scales, Couplings Revisited and Low Energy Phenomenology in M-theory
on $S^1/Z(2)$, submitted to EPJC, .

\item
Chao-shang Huang, Tian-jun Li,
Wei Liao, Qi-shu Yan and Shou Hua Zhu,
M-theory Low Energy Phenomenology,
Commun. Theor. Phys., {\bf 32}, 499-506 (1999).

\end{enumerate}

\item  Top physics

\begin{enumerate}
\item
Cong Feng Qiao and Shou Hua Zhu,
Supersymmetric QCD corrections to top quark semi-leptonic decay,
Phys. Lett. {\bf B451}, 93 (1999) (5 pages).

\item
Lian-you Shan and Shou Hua Zhu,
Top decays into light stop and gluino,  to appear in PRD (2000),
.

\end{enumerate}
%\end{itemize}
\end{enumerate}
\it
\begin{center}
\begin{minipage}{5in} At the moment, because of lack of
imagination, one cannot do much more than try to calculate effects
due to the Higgs system in order to make comparisons with
experiments results.

\begin{flushright}
--adapted from M. Veltman 1997 "Reflections on the Higgs system".
\end{flushright}
\end{minipage}
\end{center}

\rm \vskip 1cm
\section{Preface}
The standard model (SM) \cite{ld2} gives an excellent theoretical
description of the strong and electro-weak interaction. This
theory which is based on an $SU(3) \times SU(2) \times U(1)$ gauge
group, has been proven extraordinarily robust. Albeit its success,
the SM still has one part untested which is the mechanism of
electroweak symmetry spontaneous breaking (EWSB), through which
the gauge bosons and fermions gain their masses. In the SM, EWSB
is realized through one fundamental scalar field - Higgs field.
After EWSB, the physical world is left with one neutral Higgs
boson. The mass of Higgs boson is not predicted by the theory and
can only be determined by high energy experiments.

Although the SM is robust, there are theoretical aspects of the
SM, e.g. triviality \cite{ld3} and naturalness \cite{ld4} etc.,
which suggested the need for new physics. In addition, there are
certain open questions within the SM, such as too many free
parameters, origin of CP violation and flavor problem etc., whose
answer can only be found by invoking physics beyond the SM.

Among various new physics, supersymmetry (SUSY)\cite{ld5},
especially minimal supersymmetrical standard model (MSSM), is the
most elegant candidate. In order to preserve the SUSY and keep
theory anomaly free, in the MSSM, there should be introduced two
Higgs doublets to break the electroweak symmetry. After SUSY
breaking and EWSB, there are five physical Higgs bosons: three
neutral Higgs and two charged Higgs bosons. To find the Higgs
bosons predicted by the SM and the MSSM and study theirs
properties are the primary goal of present and next generation
colliders for both theoretical and high energy experimental
scientists.
%\newpage
%\begin{center}
%\section{Current status of Higgs phenomenology
%and a brief description of my previous work}
%\end{center}



The Higgs masses are not predicted by the SM and MSSM (in the
MSSM, there is a theoretical upper limit for lightest Higgs boson
$\leq 140$ GeV), which can only be determined by experiments.The
results coming from direct search for the Higgs in the process
$e^+e^- \rightarrow ZH$ at LEP 200 are, for the SM Higgs boson
\cite{ld6} $$ m_H > 107.7 GeV~~(95\% ~{\rm C.L.}) $$ which is
compatible with the result of the SM fit of all precision data
\cite{ld7} $$ M_H = \left(76^{\scriptstyle +85}_{\scriptstyle
-47}\right)~{\rm GeV} $$ or $$ M_H < 262~{\rm GeV}~~(95\% ~{\rm
C.L.})~; $$ for MSSM CP-even Higgs boson ($\tan\beta >1$) $$ m_H>
85.2 ~~(95\% ~{\rm C.L.}). $$

At upgraded Fermilab Tevatron (Run III), the mass of SM Higgs
boson can be pushed up to $\sim 180 GeV$ combined subprocesses
$qq^\prime \rightarrow WH$ and $gg \rightarrow H$ \cite{ld8}. And,
it is commonly thought that the combination of large hadron
collider (LHC) and next linear collider (NLC) will cover the mass
range of the Higgs boson up to 1 TeV or so.

         In the
above, I have given a brief general review of this field. In the
following, I shortly describe our works related to this topic:

\begin{itemize}

\item{\bf The Higgs boson production in $\gamma \gamma$ collisions at NLC
}\cite{ld9}

High energy $\gamma \gamma$ collision is the collision mode
realized at the NLC with almost the same center-of-mass energy and
luminosity, and provide more clean place to study the properties
of the Higgs  bosons. In the framework of the MSSM, we studied the
Higgs boson production in $\gamma \gamma$ collisions at NLC.
Especially, the light neutral Higgs boson pair production involves
many Feynman diagrams arising both from general two-Higgs-doublet
model particles and the supersymmetrical virtual particles. We
found the total cross section for the Higgs boson pair production
is sensitive to the model parameters, such as $\tan\beta$, triple
soft breaking terms $A_t, A_b$ and the Higgs boson masses etc.

\item{\bf Higgs boson associated production with $W$ at hadron colliders}
\cite{ld10}

Before the LHC comes to operate, to discuss the Higgs discovery
potential at present collider Fermilab Tevatron is an urgent task.
With the integrated luminosity $30 fb^{-1}$, through the process
$P\bar P \rightarrow q q^\prime \rightarrow WH$ followed by $H
\rightarrow b \bar b$ and $W \rightarrow \ell \bar \nu$, Tevatron
can find the mass of the Higgs boson up to $125 GeV$. In these
works, we have studied the Yukawa corrections arising from the top
loop as well as the leading electroweak corrections including the
Higgs contributions besides the top contributions. And we found
that in the SM, the corrections are small and at most few percent;
however, in the MSSM, the corrections could reach tens of percent
in the favorable parameters space.

\item{\bf
Higgs boson discovery potential through $bg$ channel} \cite{ld11}

For hadron colliders, especially LHC, the gluon distribution grows
rapidly, it may play an important role in producing Higgs boson in
particular for large $\tan\beta$ because the couplings of
down-type quarks with Higgs can be enhanced in this case. We study
the Higgs boson discovery potential through $bg$ channel for both
neutral and charged Higgs bosons. Indeed, we found that it is
possible to find the SUSY neutral Higgs boson at Tevatron if
$\tan\beta \geq 10$. For charged Higgs production, we also
calculated Yukawa correction, and found the magnitude of the
radiative corrections can exceed -20\% and not sensitive to the
mass of charged Higgs boson, these effects could be observable in
the experiments.

\item{\bf
Higgs boson production at NLC} \cite{ld12}

We have also studied the Higgs production at the NLC associated
with W boson or heavy quarks. The WH production is the
loop-induced process, and we found that the cross section can
reach 1 fb, but decease rapidly with the increment of the Higgs
mass. The $t\bar tH$ and $b \bar b H$ production have been
considered by many groups, we re-study this process under the
framework of M-theory. Our results show that the cross sections
are sensitive to the model parameters.

\item{\bf Radiative Higgs boson decay beyond the standard model}
\cite{ld13}

At LHC, the decay mode $H \rightarrow \gamma \gamma$ is used in
searching Higgs boson for the intermediate mass Higgs boson.
However, this searching strategy is suffered by the low decay rate
of this mode. In this work, we study the possibility of using $H
\rightarrow f\bar f \gamma$ in searching intermediate mass Higgs
boson where $f$ represent light fermions. Our study shows that, at
least, this channel can be used as discriminant between SM and
MSSM for a wide range of parameter space.

\end{itemize}

In the first section of this part, the supersymmetric electroweak
correction for $bg \rightarrow t H^-$ at hardron colliders will be
presented in details; in second section, we will study the process
of $b\bar b \rightarrow W^-H^+$ at CERN Large Hardron Collider in
supersymmetrical model.

\begin{thebibliography}{99}

\bibitem{ld2}
S. L. Glashow, Nucl. Phys. {\bf B22} (1961) 579; S. Weinberg,
Phys. Rev. Lett. { \bf 19} (1967) 1264; A. Salam, in {\bf
Elementary Particle Theory}, ed. N. Svart holm (Amquist and
Wiksels, Stockholm 1969).

\bibitem{ld3}
 M. Aizenman, Comm. Math. Phys. {\bf
86} (1982) 1; J. Fr\"olich, Nucl. Phys. {\bf
 B200} [FS4] (1982) 281.
\bibitem{ld4}
 G. 't Hooft, in {\bf Recent Developments in Gauge Theories},
Proceedings of the Nato Advanced Study Institute, Cargese, France,
1979, eds G. 't Hoo ft {\it et al.} (Plenum Press, New York 1980).
\bibitem{ld5}
 For an introduction see, for example, J. Wess and J. Bagger, {\bf
 Supersymmetry and Supergravity} ( Princeton University Press, Princeton 1992) $
2^{\rm nd}$ Edition.
\bibitem{ld6}
 M.Kado, .
\bibitem{ld7}
 The fits to the SM of precision electroweak data are
summarized by
 D. Karlen, in the  Proceedings of the 29th Conference on
 High Energy Physics, I
CHEP98, Vancouver, Canada, July 1998, eds. A. Astbury, D. Axen and
J. Robinson ( World Scientific,  Singapore 1999) p47.
\bibitem{ld8} T.Han
et.al., Phys.Rev.D59:105006,1999.
\bibitem{ld9}
 S.H. Zhu, C.S. Li and C.S. Gao, Phys.Rev.D58, 015006
(1998); S.H. Zhu, C.S. Li and C.S. Gao, Phys.Rev.D58, 055007
(1998); S.H. Zhu, J. Phys. G24 (1998)1703; S.H. Zhu, C.S. Li and
C.S. Gao, Chinese Phys. Lett.15, 89 (1998).
\bibitem{ld10}
 C.S.Li and S.H. Zhu, Phys. Lett. B444,224 (1998); Q.H.
Cao, C.S. Li and S.H. Zhu,  Comm, Theor. Phys.32,
275 (2000).
\bibitem{ld11}
C.S. Huang and S.H. Zhu, Phys. Rev. D 60, 075012 (1999); L. Jin,
C.S. Li, R. Oakes and S.H. Zhu,  Eur. Phys. J. C14,
91-101 (2000).
\bibitem{ld12} C.S. Huang, T.J. Li, W.
Liao, Q.S. Yan and S.H. Zhu, Commun. Theor. Phys., {\bf 32},
499-506 (1999);
 C.S. Huang, T.J. Li, W.
Liao, Q.S. Yan and S.H. Zhu, ; S.H. Zhu,
.
\bibitem{ld13}
 C.S. Li, C.F. Qiao and S.H. Zhu, Phys. Rev. D57,6928
(1998).
\end{thebibliography}
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\begin{document}

\thispagestyle{empty}
\bigskip
{\Large\bf \centerline{\em Postdoctoral Working Report }
\centerline{Researches on Higgs and FCNC Physics}}
\bigskip
\normalsize


\vskip 0.5cm

\centerline{\bf Shou Hua Zhu}  \centerline{\sl  Institute of
Theoretical Physics, Academia Sinica,
      P.O.Box 2735,}
\centerline{\sl Beijing 100080, P.R.China}
\bigskip

\begin{abstract}

In this report, instead to give comprehensive review on two
important research fields during my first term postdoctoral
working period: Higgs and FCNC physics, I will collect part of my
recently works on it. Charged Higgs is the distinguished signature
of new physics, in this report, I review my two works on charged
Higgs associated production with top quark and $W$ boson at
hardron colliders. Our researches show that these two charged
Higgs production mechanisms are important channel not only in
finding charged Higgs, but also in studying the quantum structure
of new physics. Flavor Changing Neutral Current (FCNC) processes
are forbidden at tree level in the Standard Model (SM), so they
act as the ground to test quantum structure of the SM and also
very important channel in finding new physics beyond the SM. In
this report, I focus on the studies on FCNC processes on linear
colliders and in B-factories.

\vfill

 {\bf Keywords:} {\em Higgs, FCNC, Supersymmetry, Standard
Model}
\end{abstract}

\newpage
\tableofcontents
%\large
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%\begin{center}
%{\huge Higgs Physics}
%\end{center}

\part{Higgs Physics}

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\part{FCNC Physics}
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\newpage
\part{Acknowledgement} It is my pleasure to thank  Prof. C. S.
Huang, Prof. C. S. Li, as well as their respectively group
members. The closely collaboration and the stimulating discussions
with them encourage me to live with High Energy Physics. Their
name are Dr. Q.S. Yan,
 X.H. Wu, W. Liao, Y.S. Yang and L.G. Jin. Prof. R. Oakes and G.
Eilam are also deserved special acknowledgement. The financial
support of China Postdoctoral Foundation and K. C. Wong Education
Foundation, Hong Kong are both gratefully acknowledged. Finally, I
should give my special thanks to Alexander von Humboldt Foundation
and Prof. W. Hollik, their kindly support make me to continue my
research works smoothly.
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