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 O3 and O4
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 SU3-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 SU5-An Example of Grand Unification
10.1 Mathematical Introduction
10.2 The structure of the GUT SU5
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 background microwave radiation
11.2.3 The abundance of primordial 42He and other light elements in theUniverse
11.3 Evolution of the Universe
11.4 The Cosmological Constant - Dark Energy
11.5 The standard cosmological model
11.6 The proper length and the horizon
11.6.1 The proper length entering the prototype candles
11.6.2 The horizon
11.7 temperature
11.7.1 The relic neutrinos
11.8 The role of dark matter
11.8.1 The rotational velocities
11.8.2 Gravitational lensing
11.8.3 The observation of bullet cluster
11.9 Dark energy
11.9.1 Observations with standard candles
11.9.2 The microwave background radiation -The earliest picture of the Universe
11.10 The WMAP and PLANCK Observations
12 Neutrino oscillations
12.1 Introduction
12.2 The formalism
12.3 Neutrino oscillation experiments
12.4 The absolute scale of the neutrino mass
12.5 Neutrinos as probes
13 C.P.T and all that
13.1 Space inversion P
13.1.1 Parity conservation-parity violation
13.2 The helicity of the neutrinos
13.2.1 The determination of the helicity of neutrinos
13.2.2 Weak interaction and handedness
13.3 Charge Conjugation
13.3.1 Charge conjugation for 4-spinors
13.3.2 Transformation of currents
13.3.3 Symmetry relation of the Dirac mass term
13.3.4 Symmetry relation of the Majorana mass term
13.3.5 The charge conjugation of composite systems
13.3.6 How good a symmetry is the charge conjugation?
13.4 Time reversal
13.4.1 Time reversal in classical mechanics
13.4.2 Time reversal in quantum mechanics
13.4.3 Premature evidence for T violation
13.5 CP the combined action of P and C symmetries
13.5.1 The neutral Kaon system
13.5.2 Strangeness oscillations
13.5.3 Kaon regeneration
13.5.4 CP Violation
13.5.5 Evidence for T-violation
13.6 The combined symmetry CPT
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