Table of contents for Fundamentals of neutrino physics and astrophysics / Carlo Giunti, Chung W. Kim.


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1   Historical introduction                                             1
2   Quantized Dirac fields                                              7
    2.   Dirac equation
    2.2  Representations of 7 matrices                                  9
    2.3  Products of ' matrices                                          11
    2.4   Relativistic covariance                                        13
    2.5   Helicity                                                       17
    2.6   Gauge transformations                                         1
    2.7   Chirality                                                      18
    .8    Solution of the Dirac equation                                 22
    2.9   Quantization                                                   31
    210 Symmetry transformation of states                                36
    2.11 C, P, and T transformations                                     48
    2.12 Wave packets                                                    60
    2 13 Finite normalization volume                                     63
    2,14 Fierz transformations                                           64
 3   The Standard Model                                                  67
    3.    Electroweak Lagrangian                                         71
    3.2   Electroweak interactions                                       75
    3.3   Three generations                                              80
    3 4   The Higgs mechanism                                            83
    3.5   Fermion masses and mixing                                      88
    3.6   Gauge bosons                                                   97
    .7    Effective low-energy CC and NC Lagrangians                     102
 4   Three-generation mixing                                             106
     4.1  Diagonalization of the mass matrix                             107
     4.2  Physical parameters in the mixing matrix                       108
     4.3  Parameterization of the mixing matrix                          109
     4.4  Degenerate masses                                              116
     4.5  Mixing matrix with one vanishing element                       118
     4.6  CP violation                                                   120
     4.7  Rephasing invariants                                           124
     4.8 1 intarity triangles                                            1.2
     4.9   Conditions for CP violation                                   133
 5   Neutrino interactions                                               135
     5.1. Neutrino-electron interactions                                 136
    5.2  Hadron decays                                                147
    5.3  Neutrino-nucleon scattering                                  160
6   Massive neutrinos                                                 180
    6.1  Dirac masses                                                 180
    6.2  Majorana neutrinos                                           188
    6.3  Mixing of three Majorana neutrinos                           208
    6.4  One-generation Dirac-Majorana mass term                      216
    6.5  Three-generation Dirac-Miajorana mixing                      229
    6.6  Special cases                                                235
    6.   Majorana mass matrix                                         237
7   Neutrino oscillations in vacuum                                   245
    7.1  Standard Derivation of the Neutrino Oscillation Probability  247
    72   Antineutrino case                                            254
    .3   CPT, CP, and T transformation                                256
    7.4  Tvwo-neutrino mixing                                         259
    7.5  Types of neutrino oscillation experiments                    261
           Tv. A1                   I                                 261
    7.6  Averaged transition probability                              267
    17   Large A2 dominance                                          273
    7    Active snall A Mn                                            277
8   Theory of neutrino oscillations in vacuum                         283
    4    Plane-wvae a,pproxinination                                  24
    8,2    a:v e- packet treatment                                    299
    8.3  Size of neutrino wave packets                                311
    8.4  Questions                                                    316
9   Neutrino oscillations in matter                                   322
    9.1 lEfecttiu potentials in matter                                323
    9.2  Evolution of nieutrino flarvors                              329
    9.3  The MSW effect                                               331
    9.4  Slab approximation                                           339
    9. 5 Parametric resonance                                         341
    9.6  Geometrical representation                                   343
10 Solar neutrinos                                                    352
    10 F Th-ermonclear energy ipoduction                              303
    102 Standard solar models                                         359
    10.3 M odei-independ ent constraints on solar neutrino fluxes     364
    10.4 Honestake experirmne                                         366
    10.5 Gallium experiments                                          368
    10..6 \ater Cherenkov detectors                                   372
    10(7 .Vacumm oscillafions                                         381
    10.8 Resonant fiavor transitions in the Sun                       382
    10.9 Regneration of solar v,?s in the Earth                       386
    10.10 Global fit of solar neutrino data                           389
11 Atmospheric neutrinos                                              390
    11.1 Flux of atmospheric neutrinos                                393
    11.2 Atmospheric neutrino experiments                             416
12 Terrestrial neutrino oscillation experiments                       428
    12.1 Sensitivity                                                  429
    12.2 Reactor experiments                                          432
    12.3 Accelerator experiments                                      443
13 Phenomenology of three-neutrino mixing                             452
    13.1 Neutrino oscillations in vacuum                              453
    13.2 Matter effects                                               465
    13.3 Analysis of oscillation data                                 474
14 Direct measurements of neutrino mass                               484
    14.1 Beta decay                                                   485
    14.2 Pion and tau decays                                          493
    14.3 Neutrinoless double-beta decay                               494
 15 Supernova neutrinos                                               511
    15A1. Supernova types                                             512
    15.2 Supernova rates                                              515
    15.3 Core-collapse supernova dynamics                             517
    15.4 SN1987A                                                      528
    I.5.5 iNeutrino mass                                              534
    15.6 Neutrino mixing                                              535
    15.7 Other neutrino properties                                    536
    15.8 uture                                                       537
 1I Cosmology                                                         540
    16.1  Basic general relativity                                    540
    16.2 Robertson-Walker metric                                      543
    16.3 Dynamics of expansion                                        553
    16.4 Matter-dominated Universe                                     560
    16.5 Radiation-dominated Universe                                  562
    16.6. Curvature-dominated Universe                                 563
    16.7 Vacuum-dominated Universe                                     563
    16.8 Thermodynamics of the early Universe                          564
    16.9 Entropy                                                       569
    16.10 Decoupling                                                   572
    16.11 Cosmic microwave background radiation                        577
 17 Relic neutrinos                                                    586
     17.1 Neutrino decoupling                                          587
    17,2 Electron-positron annihilation                                588
    17.3 Neutrino temFpereature                                        589
    17.4 Energy density of light massive neutrinos                     590
    17.5 Energy density of heavy neutrinos                             591
    17.6 Big-Bang nucleosynthesis                                      596
    17.7 Large-scale structure formation                               600
    17.8 Global fits of cosmological data                              612
    17 .9 Number of neutrinos                                          618
    17.10 Neutrino asymmetry                                           621
Appendices
A   Conventions, useful formiulas, and physical constants              626
    A. 1 Conventions                                                   626
    A.2  Pauli matrices                                                628
    A.3  Dirac matrices                                                629
    A.4  Mathematical formulas                                         634
    A.   P  ysical constants                                           635
B   Special relativity                                                 63 7
    B. 1 The Lorentz group                                             637
    B12  Representations of the Lorentz group                          643
    B.3  The Poincar6 group and its representations                    646
C   Lagrangian theory                                                  649
    C.I  Variational principle and field equations                     649
    C .2 Canonical quantization                                        650
    C 3  Noethers theorem                                              650
    C.4  Space-time translations                                       652
    C.5  Lorentz transformations                                       653
    C.o  Clomplex fields                                               653
    C.?  Global gauge symmetry                                         654
D   Gauge theories                                                     657
    D.I  General formulation of gauge theories                         657
    "D.2 Quantum ch ronodynamics                                       662
E   Feynnman rules of the standard electroweak model                   664
    E,1  External lines                                               664
    E.2  Interna lines                                                 665
    E.3  Vertices                                                     666
    E.4  Cross-sections and decay rates                               668



Library of Congress subject headings for this publication: Neutrino astrophysics, Neutrinos