R. N. Mohapatra, Palash B. Pal9812380701, 9789812380708, 9789812562203, 981238071X
Table of contents :
Cover……Page 1
Series contents……Page 3
Title……Page 4
Date-line……Page 5
Preface to the third edition vii ……Page 8
Preface to the second edition ix ……Page 10
From the preface to the first edition xi ……Page 12
Notations xiii ……Page 14
Contents……Page 16
I From massless to massive neutrinos ……Page 24
1.1 History ……Page 26
1.2.1 Modern form of four-Fermi interaction ……Page 28
1.2.2 Fierz transformation ……Page 31
1.3 Symmetries and forces ……Page 34
1.3.1 Global symmetries ……Page 35
1.3.2 Local symmetries ……Page 36
1.3.3 Spontaneous breaking of symmetries ……Page 38
1.4 Renormalizability and anomalies ……Page 42
2 The standard model and the neutrino ……Page 44
2.1 Gauge interactions in the standard model ……Page 45
2.2 Neutral current interactions of neutrinos ……Page 49
2.3.1 $nu_e e$ and $hatnu_e e$ scattering ……Page 52
2.3.2 $nu_mu e$ and $hatnu_mu e$ scattering ……Page 56
2.3.3 Neutrino pair production ……Page 57
2.4.1 Quasi-elastic $nu_e N$ and $hatnu_e N$ scattering ……Page 58
2.4.2 Deep inelastic scattering of neutrinos off nucleons ……Page 59
2.5 Neutrino mass in the standard model ……Page 62
3.1 Introduction ……Page 65
3.2 Theoretical motivations for neutrino mass ……Page 66
3.3 Questions related to neutrino mass ……Page 67
3.4.1 Kinematic tests ……Page 69
3.4.2 Exclusive tests ……Page 70
3.5 Evidences of neutrino mass ……Page 72
4.1 Two-component spinor field ……Page 74
4.2 Mathematical definition of a Majorana field ……Page 77
4.3 Different representations of Dirac matrices ……Page 80
4.3.1 Dirac representation ……Page 81
4.3.2 Majorana representation ……Page 82
4.3.3 Other representations ……Page 83
4.4.1 Properties under $C$ ……Page 84
4.4.2 Properties under $CP$ ……Page 86
4.4.3 Properties under $CPT$ ……Page 87
4.5 Majorana basis of mass terms ……Page 89
4.6 The two-component basis in a different notation ……Page 92
4.7 Feynman rules involving Majorana neutrinos ……Page 96
4.8 Diagonalization of fermion mass matrices ……Page 98
5.1 Theory of neutrino oscillations ……Page 101
5.1.1 Oscillation formula for mono-energetic neutrinos ……Page 102
5.1.2 Oscillation formula for three flavors ……Page 104
5.1.3 More sophisticated derivations ……Page 106
5.2.1 Basic strategies ……Page 108
5.2.2 Effect of energy spread ……Page 110
5.2.3 Results ……Page 112
5.3 Atmospheric neutrinos ……Page 115
5.4 Oscillation with unstable neutrinos ……Page 117
5.5.1 Uniform matter background ……Page 119
5.5.2 Non-uniform matter background and resonant oscillation ……Page 124
6 Solar neutrinos ……Page 130
6.1 Source of neutrinos in the sun ……Page 131
6.2 Solar neutrino detection techniques ……Page 133
6.2.1 Radiochemical detection……Page 134
6.2.2 Water Cerenkov detection ……Page 135
6.2.3 Heavy water detection ……Page 137
6.3.1 The solar neutrino puzzle ……Page 138
6.3.2 Reflections on the puzzle ……Page 139
6.3.3 New light on the puzzle ……Page 141
6.4.1 Vacuum oscillations ……Page 142
6.4.2 Resonant oscillation in solar matter ……Page 143
6.5.2 Neutrino magnetic moment ……Page 150
6.5.3 Violation of the equivalence principle for neutrinos ……Page 153
6.6 Implications and outlook ……Page 155
II Models of neutrino mass ……Page 158
7.1 Introduction ……Page 160
7.2 Models with enlarged fermion sector ……Page 161
7.2.1 A simple model with Dirac neutrinos ……Page 162
7.2.3 Shortcomings of the model ……Page 163
7.2.4 The complete model with right handed neutrinos ……Page 164
7.3 Models with expanded Higgs sector ……Page 167
7.3.1 Adding a triplet $Delta$ ……Page 169
7.3.2 Model with a singly charged singlet ……Page 171
7.3.3 Model with doubly charged singlet ……Page 174
7.4 The method of flavor diagrams ……Page 175
7.5 Models with spontaneous $B — L$ violation ……Page 177
7.5.1 Constraints on Majoron models ……Page 178
7.5.2 Majoron in the model with right-handed neutrinos ……Page 180
7.5.3 Majorons in models with extended Higgs sector ……Page 182
8 Neutrino mass in Left-Right symmetric models ……Page 186
8.1.1 Symmetry breaking ……Page 187
8.1.2 Constraints on the masses of the gauge bosons ……Page 193
8.2.1 The see-saw mechanism ……Page 195
8.2.2 Implications of TeV scale $W_R$ models for leptons ……Page 197
8.3 Physics involving right-handed neutrinos ……Page 199
8.3.1 Flavor changing neutral currents ……Page 200
8.3.2 Decay of the right-handed neutrinos ……Page 201
8.4 Naturalness of the see-saw formula ……Page 203
8.5 Dirac neutrinos ……Page 206
9 Neutrino mass in Grand unified models ……Page 209
9.1 SU(5) ……Page 210
9.2 Neutrino masses in $SU(5)$ model ……Page 213
9.3 SO(10) ……Page 214
9.4 Neutrino mass in $SO(10)$ models ……Page 218
9.5 Predictive $SO(10)$ scenarios for neutrino masses ……Page 224
9.6 Neutrino masses in $E_6$ ……Page 227
10.1 Introduction ……Page 231
10.2 The Lagrangian for supersymmetric field theories ……Page 233
10.3 Soft breaking of supersymmetry ……Page 235
10.4 Supersymmetric standard model ……Page 237
10.5 Neutrino mass in MSSM ……Page 239
10.6 Supersymmetric Left-Right model ……Page 243
11.1 Introduction ……Page 245
11.2 Hints for understanding large mixings ……Page 246
11.3.1 Diagonalization of the neutrino mass matrix ……Page 247
11.3.2 Example of the Zee model ……Page 250
11.3.3 Patterns for mass matrices ……Page 252
11.4.1 Two generation example with a discrete symmetry ……Page 255
11.4.2 Three generation case with continuous symmetries ……Page 256
11.4.3 Maximal mixing matrix ……Page 257
11.5 Radiative corrections and large mixings ……Page 259
11.6 Sum-rules and large mixings ……Page 261
III Implications of neutrino mass ……Page 264
12.1 Beta decay and the mass of the $nu_e$ ……Page 266
12.1.1 The electron spectrum ……Page 267
12.1.2 Discussion of experimental efforts ……Page 270
12.1.3 Effect of neutrino mixing ……Page 273
12.2 Pion decay and the mass of the $nu_mu$ ……Page 274
12.4 The confusion theorem ……Page 276
13.1 Electromagnetic form factors of a neutrino ……Page 280
13.1.1 Form factors of a Dirac neutrino ……Page 281
13.1.2 Form factors of a Major ana neutrino ……Page 283
13.1.3 Form factors for a Weyl neutrino ……Page 285
13.2 Kinematics of radiative decays ……Page 286
13.3 Model calculations of dipole moments and radiative lifetime ……Page 287
13.3.1 $SU(2)_L times U(1)_Y$ model with Dirac neutrinos ……Page 288
13.3.2 $SU(2)_L times U(1)_Y$ models with Majorana neutrinos ……Page 292
13.3.3 Left-right symmetric model ……Page 295
13.4 Large magnetic moment and small neutrino mass ……Page 298
14.1 Introduction ……Page 304
14.2 Kinematical properties ……Page 306
14.3.1 Light Majorana neutrino exchange ……Page 311
14.3.3 Exchange of doubly charged Higgs boson ……Page 314
14.4 Neutrinoless double beta decay in Left-Right models ……Page 315
14.4.2 Heavy Majorana neutrino exchange ……Page 316
14.4.3 Heavy-light neutrino mixing ……Page 317
14.4.4 Higgs exchange contribution ……Page 318
14.5 Neutrinoless double beta decay in supersymmetric models ……Page 319
14.6 Majoron emission in $betabeta_{0nu}$ decay ……Page 321
14.7 Neutrino mass and $betabeta_{0nu}$ decay ……Page 322
15.1.1 Radiative decays of muon and tau ……Page 326
15.1.2 Decays of $mu$ and $tau$ into charged leptons ……Page 329
15.1.3 Muonium-antimuonium transition ……Page 332
15.1.4 Semi-leptonic processes ……Page 334
15.2 CP-violation in the leptonic sector ……Page 335
15.2.1 CP-violating phases in the fermion mass matrix ……Page 336
15.2.2 Rephasing invariants ……Page 338
15.2.3 CP violation in the light neutrino sector ……Page 339
15.2.4 Electric dipole moment of the electron ……Page 341
16 Neutrino properties in material media ……Page 345
16.1.1 The general structure ……Page 346
16.1.2 Propagators in a thermal medium ……Page 348
16.1.3 Calculation of the dispersion relation of neutrinos ……Page 350
16.2.1 General considerations ……Page 352
16.2.2 Calculation of the vertex in a background of electrons ……Page 355
16.2.3 Induced electric charge of neutrinos ……Page 358
16.2.4 Radiative neutrino decay in a medium ……Page 359
16.3 Other effects ……Page 361
17.1 Qualitative picture of supernova collapse ……Page 363
17.2 Flux of supernova neutrinos ……Page 365
17.3 Neutrino properties implied by SN1987A observations ……Page 368
17.3.1 Neutrino mass ……Page 369
17.3.3 Magnetic moment of the neutrino ……Page 370
17.3.4 Electric charge of neutrino ……Page 374
17.3.6 Radiative decay of neutrinos ……Page 375
17.3.7 Bounds on Majoronic decay modes ……Page 377
17.3.8 Bound on neutrino mixings ……Page 378
17.3.9 Test of weak equivalence principle for neutrinos ……Page 379
17.4 Inferring neutrino spectrum from nearby supernovae ……Page 380
18.1.1 Cosmological evolution ……Page 382
18.1.2 Early universe ……Page 387
18.2 Neutrino decoupling ……Page 389
18.3 Nucleosynthesis and the number of neutrino species ……Page 391
18.4 Constraints on stable neutrino properties ……Page 394
18.4.2 Bound on light neutrino masses ……Page 395
18.4.3 Bound on degenerate light neutrinos ……Page 397
18.4.4 Bound on heavy stable neutrino masses ……Page 398
18.5 Constraints on heavy unstable neutrinos ……Page 403
18.6 Limits for radiative neutrino decays ……Page 405
18.7.1 Limit on interaction of right-handed neutrinos ……Page 409
18.7.2 Neutrino mass ……Page 410
18.7.3 Neutrino magnetic moment ……Page 411
18.8.1 Galactic halos and neutrinos ……Page 412
18.8.2 Galaxy formation and neutrinos ……Page 416
18.9.1 Connection between baryogenesis and neutrinos ……Page 418
18.9.2 Details of the right handed neutrino decay mechanism ……Page 421
19 Sterile neutrinos ……Page 425
19.2 Theoretical implications ……Page 426
19.3 Cosmological constraints ……Page 427
19.4 Understanding the sterile neutrino ……Page 429
19.5 Conclusion ……Page 432
IV Appendices ……Page 434
References ……Page 436
Index ……Page 468
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