0.1 PREFACE

1 Introduction to Particle Physics

　1.1 The natural System of Units

　1.2 The Planck Natural system of units

　1.3 Invariants in kinematics

　1.4 Cross sections and Luminosities

　　1.4.1 Luminosity for fixed target experiments

　　1.4.2 Lmninosity for colliding beam experiments

　1.5 Kinematics of particle decay

　1.6 Invariants in the scattering of two particles

　1.7 Transformation properties of non invariant quantities

2 Elements of Group Theory

　2.1 Definitions

　2.2 Matrix groups

　　2.2.1 The exponential of a matrix

　　2.2.2 Determination of the independent parameters

　2.3 The structure constants

　2.4 Representations

　　2.4.1 The fundamental representation

　　2.4.2 The adjoined representation

　2.5 Homomorphism-isomorphism

　2.6 Some further examples

　2.7 The proper orthogonal groups O(3) and O(4)

　2.8 Symmetries and conservation laws-Noether's theorem

3 The Dirac Theory

　3.1 Preliminaries-The Klein Gordon equation

　3.2 The Dirac equation

　　3.2.1 The spinors u and v

　　3.2.2 Projection operators

　　3.2.3 Various representations of the Dirac Matrices

　3.3 Interpretation of negative energy solutions

　3.4 The notion of helicity

　3.5 Charge conjugation for 4-spinors

　3.6 Types of currents

4 The standard Model-Symmetry and particle content

　4.1 The essential ingredients

　4.2 The notion of a local symmetry

　4.3 Non Abelian gauge transformation

　　4.3.1 Transformations associated with a non Abelian group

　　4.3.2 Some Examples

　4.4 Gauge invariant Lagrangians

　　4.4.1 Only gauge fields

　　4.4.2 Lagrangian in the presence of scalar fields

　　4.4.3 Lagrangian in the presence of fermion fields

　4.5 The particle content of the SM

　4.6 The electroweak Lagrangian

5 The Higgs Mechanism

　5.1 The Higgs Mechanism in global gauge transformations

　5.2 The Higgs Mechanism in gauge theories

　5.3 Fundamental theorem of Higgs Mechanism

6 The Group SU(3)-Quantum Chromodynamics

　6.1 Quantum chromodynamics QCD

　6.2 The one gluon exchange potential

　　6.2.1 Process involving only baryons

　　6.2.2 processes involving the creation of a qq pair

　　6.2.3 processes involving interaction of mesons

　6.3 Low energy formalism

　　6.3.1 The orbital part at the quark level

　　6.3.2 The kinetic energy part

　　6.3.3 The confining potential

　　6.3.4 Fitting the strength of the confining potential

　6.4 Matrix elements involving two quarks

　　6.4.1 The confining potential

　　6.4.2 The one gluon exchange potential

7 Fermion Masses and Currents

　7.1 Fermion masses

　7.2 The currents

　　7.2.1 The EM current

　　7.2.2 The charged currents

　　7.2.3 The neutral currents

　7.3 The contact interaction

　7.4 Determination of the Standard Model Parameters

　7.5 Summary

8 Rates and Cross Sections in Electroweak Theory

　8.1 Brief review and formulae

　8.2 Decay widths and cross section

　　8.2.1 The decay of a vectcr boson

　8.3 Muon-antimuon production in electron- positron colliders

　8.4 neutrino electron scatterir

9 Supersymmetry for Pedestrians

　9.1 Introduction

　9.2 The particle content of MSSM

　　9.2.1 gauge particles

　　9.2.2 Fermions and s-fermions

　　9.2.3 The Higgs content

　9.3 The Higgs mechanism

　9.4 The Fermion masses

　9.5 Supersymmetry breaking

　9.6 Some remarks about the particle spectrum

10 SU(5)-An Example of Grand Unification

　10.1 Mathematical Introduction

　10.2 The structure of the GUT SU(5)

　10.3 The particle content

　　10.3.1 The Fermions

　　10.3.2 The gauge bosons

　　10.3.3 The Higgs content

　10.4 The Higgs Mechanism

　10.5 The gauge boson masses

　10.6 Gauge couplings

　10.7 Baryon Asymmetry

11 A Brief Introduction to Cosmology

　11.1 Cosmological Principles

　11.2 The eXpanding Universe-Tie big bang scenario

　　11.2.1 The receding of galaxies

　　11.2.2 The backgro