Table of contents for Particle physics : a comprehensive introduction / Abraham Seiden.


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ContentsContents
chapter1The Particle Physics Program1
section1.1Introduction1
section1.2What Do We Measure?3
paragraphThe Particle Spectrum3
paragraphScattering of Particles3
paragraphProduction of Resonances5
paragraphJets at High Energies6
section1.3Fundamental Constituents and Interactions6
chapter2How to Calculate Amplitudes15
section2.1Free Particles15
section2.2Spin Zero Particles16
section2.3Lagrangian Density18
section2.4Symmetries and the Lagrangian20
section2.5Spin 1 Particles23
section2.6Spin 1 Photons24
section2.7Spin Particles27
subsection2.7.1The Dirac Equation28
subsection2.7.2Lagrangian and Symmetries for Spin 30
subsection2.7.3Explicit Plane Wave Solutions32
subsection2.7.4Bilinear Covariants35
section2.8Interpretation of Extra Solutions37
section2.9Time History of States38
section2.10Time Evolution and Particle Exchange43
section2.11Momentum Space Propagator50
section2.12Calculation of Decay Rates and Cross Sections52
subsection2.12.1Particle Decay Rates52
subsection2.12.2Cross Sections54
section2.13Particle Exchange and the Yukawa Potential55
section2.14Quantum Field Theory58
subsection2.14.1Charged Scalar Field63
subsection2.14.2Fermion Field64
chapter3Scattering of Leptons andPhotons71
section3.1Interaction Hamiltonian and LeptonCurrents71
section3.2Electron--Muon Scattering74
subsection3.2.1The Photon Propagator75
subsection3.2.2Some Implications of the Photon Propagator78
subsection3.2.3Electron--Muon Scattering; Methods for Facilitating Calculations for Spin 79
subsection3.2.4Two-Body Phase Space Factor83
subsection3.2.5Cross Sectionin the Relativistic Limit85
section3.3 Annihilation to 86
subsection3.3.1, , and Variables86
subsection3.3.2Calculation of Annihilation Cross Section87
section3.4 Scattering89
section3.5 Production of 90
subsection3.5.1Helicity Conservation in the Relativistic Limit92
section3.6Processes with Two Leptons and Two Photons94
subsection3.6.1Matrix Element for Scattering97
subsection3.6.2Compton Scattering Cross Section100
section3.7Higher-Order Terms in the Perturbation Expansion, theFeynmanRules103
section3.8Lorentz Covariance and Field Theory106
section3.9Special Symmetries of the Matrix108
chapter4Hadrons112
section4.1The Charge Structure of the Strong Interactions112
section4.2Quantum Numbers113
subsection4.2.1Additive Quantum Numbers114
subsection4.2.2Vectorially Additive Quantum Numbers115
subsection4.2.3Multiplicative Quantum Numbers116
section4.3Internal Symmetries117
section4.4Generators for and 122
section4.5The Color Interaction126
section4.6The Color Potential130
section4.7Size of Bound States136
section4.8Baryons141
chapter5Isospin and Flavor , Accidental Symmetries146
section5.1The Light Quarks146
section5.2Light Mesons149
section5.3Breit--Wigner Propagators and Meson Life Histories155
subsection5.3.1Narrow Resonances and Independent Events159
subsection5.3.2Propagators and Mass Eigenstates161
section5.4Vector Meson Decays163
subsection5.4.1Form of Meson Decay Amplitudes168
section5.5Physical Picture of Decay Process169
subsection5.5.1 Parity177
subsection5.5.2Large Invariant Mass Processes and Hadronic Jets179
section5.6Baryon States of Three Quarks180
chapter6The Constituent Quark Model193
section6.1Constituent Quarks193
section6.2Baryon Magnetic Moments193
subsection6.2.1 Decay to , Magnetic Dipole Transition197
subsection6.2.2 Decay to 198
section6.3Meson and Baryon Masses200
subsection6.3.1Meson Masses203
subsection6.3.2Baryon Masses204
subsection6.3.3Meson Isospin Violating Mass Splittings205
subsection6.3.4Baryon Isospin Violating Mass Splittings207
subsection6.3.5Decays of the Meson209
section6.4Photon Coupling to the Vector Mesons211
subsection6.4.1Vector Meson Dominance212
subsection6.4.2 Dominance in the Channel with 214
subsection6.4.3 Mixing217
section6.5Radiative Transitions between Pseudoscalar andVectorMesons220
section6.6Pseudoscalar Meson Decays to Two Photons224
subsection6.6.1Vector Meson Dominance and Radiative Decays225
section6.7Conclusion226
chapter7The Full Color Gauge Theory231
section7.1Local Gauge Symmetry231
section7.2Paradox of No Scales234
subsection7.2.1The Running Coupling Constant in Electrodynamics234
subsection7.2.2Expression for in Electrodynamics236
subsection7.2.3Running Coupling Constant for QCD238
section7.3Approximate Chiral Symmetry of the Strong Interactions240
subsection7.3.1Goldberger--Treiman Relation241
section7.4Spontaneously Broken Symmetry244
subsection7.4.1The Role of the Vacuum245
section7.5Quark Masses in the Lagrangian246
section7.6Other Issues247
chapter8Weak Interactions of Fermions253
section8.1Weak Gauge Group253
section8.2Muon Decay258
section8.3Decays of the Tau Lepton262
section8.4Charged Weak Currents for Quarks267
subsection8.4.1Cabibbo--Kobayashi--Maskawa Matrix269
subsection8.4.2CP Violation272
section8.5Charged Pion Decay274
subsection8.5.1Conserved Vector Current277
subsection8.5.2Charge Operators278
subsection8.5.3Rate for Semileptonic Decay280
section8.6Strangeness Changing Current Operator and Kaon Decay280
subsection8.6.1Vector Dominance Model for Kaon to Pion Current Matrix Element283
subsection8.6.2Operator for Decay to All Hadronic Final States286
section8.7General Framework for Weak Decay ofPseudoscalarMesons292
section8.8Amplitudes for Kaon Decay to Two Pions295
section8.9Amplitudes for Decay to 297
section8.10Rare Decays298
section8.11Weak Decays Involving the Heavy Quarks 300
subsection8.11.1Weak Decay of Charm302
subsection8.11.2Weak Decay of Quark Systems305
section8.12Heavy Quark Effective Theory307
section8.13Conclusion309
chapter9Weak Mixing Phenomena313
section9.1Interplay of Production, Propagation, and Detection313
section9.2Mixing for Weakly Decaying Pseudoscalar Mesons315
section9.3 System318
subsection9.3.1Kaon Oscillations320
subsection9.3.2CP Violation in the Kaon System321
section9.4 System327
section9.5 and Systems329
subsection9.5.1CP Violation in the System331
section9.6Neutrino Oscillations333
subsection9.6.1Three Neutrino Generations336
subsection9.6.2Oscillations of Neutrinos from the Sun338
subsection9.6.3Matter-Induced Oscillations in the Sun341
subsection9.6.4CP Violation in Neutrino Mixing344
chapter10The Electroweak Gauge Theory and Symmetry Breaking348
section10.1Weak Neutral Current348
section10.2Neutral Current Mixing348
section10.3 Phenomenology352
paragraphMeasurement of and the cross section by measuring rates versus .355
paragraphThe final state fermions are polarized for the same reason that is nonzero.357
paragraphThe parity violation in the coupling implies that a correlation exists between the direction of the final state particle and the initial (and the with).358
section10.4Interactions Among the Gauge Bosons Themselves358
section10.5Higgs Mechanism360
section10.6The Theory of Weinberg and Salam365
section10.7Corrections to the and Masses370
section10.8Generation of Fermion Masses373
section10.9Majorana Neutrinos375
chapter11Large Cross SectionProcesses378
section11.1Types of Processes378
section11.2Multiple Coulomb Scattering380
subsection11.2.1Multiple Scattering Angle382
subsection11.2.2Radiation Length383
subsection11.2.3Energy Loss385
section11.3Radiative Processes for Electrons and Photons389
subsection11.3.1Rate Calculation for Pair Production391
section11.4Inclusive Distributions in Hadronic Scattering395
chapter12Scattering with Large MomentumTransfer404
section12.1Types of Processes404
section12.2 Annihilation to Hadrons405
subsection12.2.1Energies below , the Electromagnetic Regime405
subsection12.2.2Quark Fragmentation Functions406
subsection12.2.3 Annihilation in the Electroweak Regime410
subsection12.2.4Energy Scale for Production of the Higgs Particle412
section12.3Hadron Structure and Short Distance Scattering412
subsection12.3.1Momentum Spectrum for Constituents415
section12.4Deep Inelastic Lepton-Proton Scattering417
subsection12.4.1Cross Section for Deep Inelastic Scattering419
subsection12.4.2Structure Functions and Constituents420
subsection12.4.3The Quark Picture for the Structure Function423
section12.5Scaling Violations429
paragraphQCD vertex.430
paragraphThe propagator.431
paragraphSum over states for the constituent that doesn't scatter.431
paragraphThe electromagnetic vertex where the quark scatters.432
subsection12.5.1Evolution Equations for Structure Functions434
section12.6Results for Large Transverse Momentum Scattering inReactions436
section12.7The Next Frontier437
chapter13Physics at Higher Energies441
chapterAConventions445
sectionAUnits445
sectionBUse of Lorentz Indices446




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