Preface to the third edition -- Preface to the second edition -- From the preface to the first edition -- Notations -- Contents -- 1 Introduction -- 1.1 History -- 1.2 Four-Fermi interaction -- 1.2.1 Modern form of four-Fermi interaction -- 1.2.2 Fierz transformation -- 1.2.3 Problems with the four-Fermi interaction -- 1.3 Symmetries and forces -- 1.3.1 Global symmetries -- 1.3.2 Local symmetries -- 1.3.3 Spontaneous breaking of symmetries -- 1.4 Renormalizability and anomalies -- 2 The standard model and the neutrino -- 2.1 Gauge interactions in the standard model -- 2.2 Neutral current interactions of neutrinos -- 2.3 Neutrino-electron scattering in the standard model -- 2.3.1 e and e scattering -- 2.3.2 e and e scattering -- 2.3.3 Neutrino pair Production -- 2.4 Neutrino-nucleon scattering in the standard model -- 2.4.1 Quasi-elastic eN and eN scattering -- 2.4.2 Deep inelastic scattering of neutrinos off nucleons -- 2.5 Neutrino mass in the standard model -- 3 Massive neutrinos -- 3.1 Introduction -- 3.2 Theoretical motivations for neutrino mass -- 3.3 Questions related to neutrino mass -- 3.4 Tests of neutrino mass -- 3.4.1 Kinematic tests -- 3.4.2 Exclusive tests -- 3.5 Evidences of neutrino mass -- 4 Dirac versus Majorana masses -- 4.1 Two-component spinor field -- 4.2 Mathematical definition of a Majorana field -- 4.3 Different representations of Dirac matrices -- 4.3.1 Dirac representation -- 4.3.2 Majorana representation -- 4.3.3 Other representations -- 4.4 Majorana neutrinos and discrete symmetries of space-time -- 4.4.1 Properties under C -- 4.4.2 Properties under CP -- 4.4.3 Properties under CPT -- 4.5 Majorana basis of mass terms -- 4.6 The two-component basis in a different notation -- 4.7 Feynman rules involving Majorana neutrinos -- 4.8 Diagonalization of fermion mass matrices -- 5 Neutrino oscillations.

5.1 Theory of neutrino oscillations -- 5.1.1 Oscillation formula for mono-energetic neutrinos -- 5.1.2 Oscillation formula for three flavors -- 5.1.3 More sophisticated derivations -- 5.2 Experimental searches -- 5.2.1 Basic strategies -- 5.2.2 Effect of energy spread -- 5.2.3 Results -- 5.3 Atmospheric neutrinos -- 5.4 Oscillation with unstable neutrinos -- 5.5 Neutrino oscillations in matter -- 5.5.1 Uniform matter background -- 5.5.2 Non-uniform matter background and resonant oscillation -- 6 Solar neutrinos -- 6.1 Source of neutrinos in the sun -- 6.2 Solar neutrino detection techniques -- 6.2.1 Radiochemical detection -- 6.2.2 Water Cerenkov detection -- 6.2.3 Heavy water detection -- 6.3 History of solar neutrino detection -- 6.3.1 The solar neutrino puzzle -- 6.3.2 Reflections on the puzzle -- 6.3.3 New light on the puzzle -- 6.4 Solar neutrino flux and neutrino oscillations -- 6.4.1 Vacuum oscillations -- 6.4.2 Resonant oscillation in solar matter -- 6.5 Other factors that might affect solar neutrino flux -- 6.5.1 Neutrino decay -- 6.5.2 Neutrino magnetic moment -- 6.5.3 Violation of the equivalence principle for neutrinos -- 6.6 Implications and outlook -- 7 Neutrino mass in s SU( 2 )L X U(1)Y models -- 7.1 Introduction -- 7.2 Models with enlarged fermion sector -- 7.2.1 A simple model with Dirac neutrinos -- 7.2.2 Neutrino mixing -- 7.2.3 Shortcomings of the model -- 7.2.4 The complete model with right handed neutrinos -- 7.3 Models with expanded Higgs sector -- 7.3.1 Adding a triplet -- 7.3.2 Model with a singly charged singlet -- 7.3.3 Model with doubly charged singlet -- 7.4 The method of flavor diagrams -- 7.5 Models with spontaneous B - L violation -- 7.5.1 Constraints on Majoron models -- 7.5.2 Majoron in the model with right-handed neutrinos -- 7.5.3 Majorons in models with extended Higgs sector.

8 Neutrino mass in Left-Right symmetric models -- 8.1 The gauge sector -- 8.1.1 Symmetry breaking -- 8.1.2 Constraints on the masses of the gauge bosons -- 8.2 Majorana neutrinos -- 8.2.1 The see-saw mechanism -- 8.2.2 Implications of TeV scale WR models for leptons -- 8.3 Physics involving right-handed neutrinos -- 8.3.1 Flavor changing neutral currents -- 8.3.2 Decay of the right-handed neutrinos -- 8.4 Naturalness of the see-saw formula -- 8.5 Dirac neutrinos -- 9 Neutrino mass in Grand unified models -- 9.1 SU(5) -- 9.2 Neutrino masses in SU(5) model -- 9.3 SO(10) -- 9.4 Neutrino mass in SO(10) models -- Intermediate MBL scenario [Eq. (9.31)] -- Loop-induced heavy mass for NR -- 9.5 Predictive SO( 10) scenarios for neutrino masses -- 9.6 Neutrino masses in E6 -- 10 Neutrino mass in supersymmetric models -- 10.1 Introduction -- 10.2 The Lagrangian for supersymmetric field theories -- 10.3 Soft breaking of supersymmetry -- 10.4 Supersymmetric standard model -- 10.5 Neutrino mass in MSSM -- 10.6 Supersymmetric Left-Right model -- 11 Large neutrino mixings -- 11.1 Introduction -- 11.2 Hints for understanding large mixings -- 11.3 Mass matrices for neutrinos -- 11.3.1 Diagonalization of the neutrino mass matrix -- 11.3.2 Example of the Zee model -- 11.3.3 Patterns for mass matrices -- 11.4 Symmetries and neutrino mass textures -- 11.4.1 Two generation example with a discrete symmetry -- 11.4.2 Three generation case with continuous symmetries -- 11.4.3 Maximal mixing matrix -- 11.5 Radiative corrections and large mixings -- 11.6 Sum-rules and large mixings -- 12 Kinematic tests of neutrino mass -- 12.1 Beta decay and the mass of the e -- 12.1.1 The electron spectrum -- 12.1.2 Discussion of experimental efforts -- 12.1.3 Effect of neutrino mixing -- 12.2 Pion decay and the mass of the -- 12.3 Tau decay and the mass of the -- 12.4 The confusion theorem.

13 Electromagnetic properties of neutrinos -- 13.1 Electromagnetic form factors of a neutrino -- 13.1.1 Form factors of a Dirac neutrino -- 13.1.2 Form factors of a Majorana neutrino -- 13.1.3 Form factors for a Weyl neutrino -- 13.2 Kinematics of radiative decays -- 13.3 Model calculations of dipole moments and radiative lifetime -- 13.3.1 SU( 2)L X U(1)Y model with Dirac neutrinos -- 13.3.2 SU(2)L X U(1)Y models with Majorana neutrinos -- 13.3.3 Left-right symmetric model -- 13.4 Large magnetic moment and small neutrino mass -- 14 Double beta decay -- 14.1 Introduction -- 14.2 Kinematical properties -- 14.3 Neutrinoless double beta decay in SU(2)L X U(1)Y models -- 14.3.1 Light Majorana neutrino exchange -- 14.3.2 Heavy Majorana neutrino exchange -- 14.3.3 Exchange of doubly charged Higgs boson -- 14.4 Neutrinoless double beta decay in Left- Right models -- 14.4.1 Light neutrino exchange -- 14.4.2 Heavy Majorana neutrino exchange -- 14.4.3 Heavy-light neutrino mixing -- 14.4.4 Higgs exchange contribution -- 14.5 Neutrinoless double beta decay in supersymmetric models -- 14.6 Majoron emission in decay -- 14.7 Neutrino mass and decay -- 15 Related processes -- 15.1 Lepton flavor changing processes -- 15.1.1 Radiative decays of muon and tau -- 15.1.2 Decays of and T into charged leptons -- 15.1.3 Muonium-antimuonium transition -- 15.1.4 Semi-leptonic processes -- 15.2 CP-violation in the leptonic sector -- 15.2.1 CP-violating phases in the fermion mass matrix -- 15.2.2 Rephasing invariants -- 15.2.3 CP violation in the light neutrino sector -- 15.2.4 Electric dipole moment of the electron -- 16 Neutrino properties in material media -- 16.1 Dispersion relation of neutrinos in a medium -- 16.1.1 The general structure -- 16.1.2 Propagators in a thermal medium -- 16.1.3 Calculation of the dispersion relation of neutrinos.

16.2 Electromagnetic properties of neutrinos in a medium -- 16.2.1 General considerations -- 16.2.2 Calculation of the vertex in a background of electrons -- 16.2.3 Induced electric charge of neutrinos -- 16.2.4 Radiative neutrino decay in a medium -- 16.3 Other effects -- 17 Neutrinos from supernovae -- 17.1 Qualitative picture of supernova collapse -- 17.2 Flux of supernova neutrinos -- 17.3 Neutrino properties implied by SN1987A observations -- 17.3.1 Neutrino mass -- 17.3.2 Neutrino lifetime -- 17.3.3 Magnetic moment of the neutrino -- 17.3.4 Electric charge of neutrino -- 17.3.5 Strength of right-handed weak interactions -- 17.3.6 Radiative decay of neutrinos -- 17.3.7 Bounds on Majoronic decay modes -- 17.3.8 Bound on neutrino mixings -- 17.3.9 Test of weak equivalence principle for neutrinos -- 17.4 Inferring neutrino spectrum from nearby supernovae -- 18 Neutrino cosmology -- 18.1 The Big Bang model -- 18.1.1 Cosmological evolution -- 18.1.2 Early universe -- 18.2 Neutrino decoupling -- 18.3 Nucleosynthesis and the number of neutrino species -- 18.4 Constraints on stable neutrino properties -- 18.4.1 Bound on the degeneracy of massless neutrinos -- 18.4.2 Bound on light neutrino masses -- 18.4.3 Bound on degenerate light neutrinos -- 18.4.4 Bound on heavy stable neutrino masses -- 18.5 Constraints on heavy unstable neutrinos -- 18.6 Limits for radiative neutrino decays -- 18.7 Limits on neutrino properties from nucleosynthesis -- 18.7.1 Limit on interaction of right-handed neutrinos -- 18.7.2 Neutrino mass -- 18.7.3 Neutrino magnetic moment -- 18.8 Neutrinos and dark matter in the universe -- 18.8.1 Galactic halos and neutrinos -- 18.8.2 Galaxy formation and neutrinos -- 18.9 Leptogenesis and baryogenesis -- 18.9.1 Connection between baryogenesis and neutrinos -- 18.9.2 Details of the right handed neutrino decay mechanism.

19 Sterile neutrinos.