Summary
The unified model of electroweak interactions (Glashow-Weinberg-Salam model) is constructed step by step. As an application, the phenomenology of neutrino mixing, in the framework of the three-family model, is dicussed in detail. Numerous formulae for appearance or disappearance of neutrinos in vacuum or in matter are derived. These notes shoud provide a self-contained introduction to the GWS model and to neutrino mixing and oscillations. Recent experimental results on neutrino oscillations are briefly reviewed.

cours1: Introduction

cours2: The Fermi theory and its extensions

cours3: Fermions, chirality, helicity

cours4: The global $\mathbf{SU(2)_L\otimes U(1)_Y}$ gauge invariance : conserved currents

cours5: The local $\mathbf{SU(2)_L\otimes U(1)_Y}$ gauge invariance : interactions

cours6: Spontaneous symmetry breaking under a global phase change

cours7: Spontaneous local $\mathbf{U(1)}$ symmetry breaking

cours8: The broken $\mathbf{SU(2)_L\otimes U(1)_Y}$ symmetry

cours9: Exercise : study of the reaction proton + proton $\mathbf{\rightarrow H + X}$

cours10: Exercises: Higgs boson decays

cours11: Family mixing and the Kobayashi-Maskawa matrix

cours12: Neutrinos and the Pontecorvo-Maki-Nakagawa-Sakata matrix

cours13: Neutrinos interactions with matter

cours14: Neutrino experiments

cours15: Majorana neutrinos

cours16: Conclusions

cours17: Properties of $\mathbf{\gamma^\mu}$ matrices

cours18: Charge conjugation ${\cal C}$, space reflection ${\cal P}$, time reversal ${\cal T}$

cours19: Feynman rules of the Glashow-Weinberg-Salam model