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© in This Web Service Cambridge University Press Cambridge University Press 978-1-107-40426-7 - The Standard Model: A Primer C. P. Burgess and Guy D. Moore Index More information Index 2π counting, 156 Anomalous magnetic moment of a proton, 322 1 ∆I = 2 Rule, 356 Anomaly matching, 365 ∆ baryon, 302 Anti-fundamental representation, 491 Λ baryon, 302 Antiparticles, 14 Ω baryon, 302 Antisymmetry of the baryonic wave function, Σ baryon, 302 301 Σ∗ baryon, 302 Asymmetries, left-right, 199 Θ3, and electric dipole moments, 464 Asymmetry, forward-backward, 200 Ξ baryon, 302 Asymptotic freedom, 454 Ξ gauges, 506 Atmospheric neutrino oscillations, 402 Ξ∗ baryon, 302 Axioms of field theory, 7 γ5, convention for, 518 Axion, 459 ΛQCD, 278 Axion potential, 467 ρ parameter, 236 Axions, as cold dark matter, 468 SUc(3) SUL(2) UY (1), 54 × × B-L conservation, 104 A terms, Supersymmetry breaking, 450 B-L symmetry, gauged, 108 Abelian Higgs model, 41 BaBar experiment, 229 Accidental conservation laws, in the standard Barn, 197 model, 96 Baryon masses, 300 Accidental symmetries, 239, 241 Baryon masses, and chiral symmetry breaking, Accidental symmetries, and the Fermi theory, 316 241 Baryon number, 96, 286 Accidental symmetry, 68 Baryon number, anomalies, 102 Action, 12 Baryon number, of QCD bound states, 287 Ademollo-Gatto theorem, 324, 361 Baryons, 71, 281 Adjoint Higgs models, 107 Baryons, and flavor symmetry, 300 Adjoint representation, 490 Baryons, defined, 281 Altarelli-Parisi (DGLAP) equations, 347 Baryons, octet and decuplet, 302 Angular momentum operators, 497 Baryons, valence quark content of, 302 Annihilation operators, 4, 13, 21 Baryons, wave function antisymmetry, 301 Annihilation to photons, 216 Basic principles, 7 Anomalies, 96 Belle experiment, 229 Anomalies, and π0 decay, 297, 363 Beta decay, double, 416 Anomalies, and Qe + Qp, 101 Bhabha scattering, 223 Anomalies, and Qν , 101 Bjorken x, 331 Anomalies, and baryon number, 102 Bloch-Nordsieck resummation, 221 Anomalies, and lepton number, 103 Boosts, generator of, 498 Anomalies, and neutrino stability, 154 Boson decays, 127 Anomalies, between electromagnetism and Bottomonium, 285 chiral symmetries, 297 Bound states, 113 Anomalies, gauge, 99 Bound states, b¯b, 199 Anomalies, involving the Lorentz group, 102 Bound states, cc¯, 199 534 © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-1-107-40426-7 - The Standard Model: A Primer C. P. Burgess and Guy D. Moore Index More information Index 535 Bound states, of heavy quarks, 284 Conservation of lepton number, 96 Bound states, strongly interacting, 75 Conserved vector current, 324 Branching fraction, 137 Conventions, and γ5, 518 Branching fractions, for Z0 bosons, 138 Corrections near a resonance, 202 Branching fractions, in W ± decays, 145 Cosmological constant problem, 436 Branching ratios of the τ lepton, 159 Cosmological constant problem., 437 Breaking of UV (3) symmetry by masses, 295 Coulomb barrier, 325 Breit frame, 331 Coupling constants, 484 Breit-Wigner lineshape, 205 Couplings, fermion-Z0 boson, 137 Breit-Wigner resonance, 207 Couplings, gluon-fermion, 75 Covariant derivative, 39 C symmetry, 74, 76, 78, 80, 82, 85 Covariant derivatives of standard modelfields, C symmetry, and QCD bound states, 287 58 C symmetry, broken by Z and W couplings, 89 CP symmetry, 459 C, definition, 86 CP symmetry, broken by Cabbibo angle, 81 Kobayashi–Maskawamatrix phases, 89 Callan-Gross sum rule, 337 CP violation, 399 Canonical form: fermions, 23 CP violation, in neutrino physics, 399 Canonical form: scalars, 17 Creation operators, 4, 13, 21 Casimir, in SUc(3), 345 Cross section, 112 Causality, 14 Cross-section, 122 Center of mass frame, 190 Crossed graphs, 212 CERN, 202 Crossing symmetry, 14, 211, 216 Charge conjugation symmetry, 86 CTEQ collaboration, 348 Charge radius of the proton, 323 Cubic electroweak interactions, 77 Charged current interactions, 78, 154, 235 Current conservation, 215 Charged current interactions, and W ± boson Custodial SU(2) symmetry, 66 decay, 143 Charged current interactions, and Fermi D term, supersymmetric, 445 theory, 235 Decay rate, of a polarized Z0 boson, 136 Charmonium, 285 Decay rate, of the Z0 boson, 135 Cherenkov radiation, 224 Decay rates, 122 Chern-Simons number, 460 Decay, of the µ− lepton, 155 Chiral Lagrangian, 310 Decay, of the τ − lepton, 158 Chiral perturbation theory, 279 Decays, of elementary bosons, 127 Chiral symmetry, 103, 290, 292, 320 Decays, of leptons, 153 Chiral symmetry breaking, and baryon Decoupling, 435 masses, 316 Deep inelastic scattering, 330 Chiral symmetry, and spectral degeneracies, Deep inelastic scattering, kinematics, 330 297 Delta baryon, 302 Chiral symmetry, broken by electromagnetism, Density matrix, 129 296 DGLAP (Altarelli-Parisi) equations, 347 Chiral symmetry, explicit breaking, 294 Dilepton, 338 Chiral symmetry, spontaneous breaking, 304 Dimension 5 operators in the standard model, Circular polarization, 28 424 CKM matrix, 79 Dirac conjugate, 22, 504 Clifford algebra, 504, 518 Dirac field, 69 Cluster decomposition, 7 Dirac neutrino, 395 Cold dark matter, 468 Dirac neutrino masses, 413 Collinear photon emission, 218 Dirac neutrinos, 409 Color, 54 Dirac spinor, 69, 503 Color confinement, 282 Dirac traces, 131 Commutation relations, 38 Dirac traces, evaluation, 131 Compton scattering, 214 Discrete symmetries, 85 Confinement, 282 Divergences, soft, 346 Confinement hypothesis, 282 Divergent soft photon corrections, 220 Confinement scale, Λc, 283 Double beta decay, neutrinoless, 416 Confinement, linear, 283 Drell-Yan process, 338 Conservation laws, and stable particles, 153 Drell-Yan process, differential cross-section, Conservation laws, approximate, 239 340 Conservation of baryon number, 96 Dyadics, of fermion spinors, 130 © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-1-107-40426-7 - The Standard Model: A Primer C. P. Burgess and Guy D. Moore Index More information 536 Index Dynkin index, 478 Feynman rules, vertices for the standard model, 175 Effective Lagrangian, 231 Field strength, 27 Effective Lagrangians, 231 Fields, Dirac, 69 Effective theory, of QED with hadrons, 320 Fields, transformation under a symmetry, 487 Electric charge, 39 Fiertz identity, 52, 225 Electric charge, and anomalies, 101 Fiertz rearrangements, 471 Electric dipole moment, for the neutron, 464 Flavor change, absent in Z couplings, 84 Electric dipole moments, and Θ3, 464 Flavor changing, 81 electromagnetic breaking of chiral symmetry, Flavor changing neutral currents, 73, 84 296 Flavor changing, absent in strong interactions, Electromagnetic interactions, 83 75 Electromagnetism, as a symmetry of the Flavor octet mesons, 298 vacuum, 64 Flavor problem, 469 Electron charge, 83 Flavor singlet mesons, 298 Electron number, 96 Fock space, 4 Electroweak interactions, 76 Forward-backward asymmetry, 200 Elementary boson decays, 127 Forward-backward asymmetry, on resonance, Endpoint, 169 206 eta’ meson, mass, 313 Fragmentation, 343 Evolution equations for PDF’s, 347 Fragmentation function, 343 Expansion, in large MW , 163 Free quarks, non-observation, 282 Experimental values, of masses, 484 Fundamental representation, 491 External lines, Feynman rules, 172 GF , the Fermi coupling constant, 164 F term, supersymmetric, 445 Gamma matrices, 22, 504 Factorization, 206, 329 Gamma matrices, Hermiticity of, 518 Factorization, on resonance, 207 Gauge anomalies, 99 Fadeev-Popov ghosts, 506 Gauge bosons, 38 Families, 54 Gauge choice, and Feynman rules, 174 Fermi coupling constant, 164 Gauge choice, unitary, 43 Fermi effective theory, 225 Gauge coupling unification, 478 Fermi Lagrangian, 235 Gauge fixing, 62 Fermi statistics–and signs in interference Gauge group, of the standard model, 54 terms, 212 Gauge invariance, 30, 215 Fermi theory, 231, 233 Gauge, renormalizable ξ, 506 Fermi theory of neutral currents, 236 Gauge, unitary, 62, 506 Fermi theory of the weak interactions, 423 Gaugino, 443 Fermi theory, and accidental symmetries, 241 Gaugino Yukawa couplings, 445 Fermion electroweak couplings, Feynman Gell Mann–Okubo mass relation, 317 rules, 178 Gell-Mann matrices, 44 Fermion loops, minus sign associated with, 179 Generators of Lorentz group, 497 Fermion masses, 69 Ghosts, 506 Fermionic content of the standard model, 56 Ghosts, Feynman rules, 513 Fermionic fields: canonical form, 23 GIM mechanism, 376, 377, 398 Fermions, charges in the standard model, 56 GIM mechanism, leptons, 410 Fermions, Dirac, 69 Global symmetries, and Yukawa interactions, Feynman gauge, 174, 506 94 Feynman graph, symmetry factor, 179 Glueballs, 71 Feynman rules, 153, 172, 507 Gluon, 45 Feynman rules, and metric convention, 521 Gluon emission, and gauge invariance, 217 Feynman rules, combinatorial factors, 175 Gluon self-couplings, Feynman rules, 176 Feynman rules, for external lines, 172 Gluon-fermion coupling, Feynman rules, 177 Feynman rules, for incoming lines, 172 Gluon-fermion couplings, 75 Feynman rules, for internal lines, 173 Gluons, 54, 74 Feynman rules, for outgoing lines, 173 Gluons, self-couplings, 74 Feynman rules, ghosts, 513 Goldberger-Treiman relation, 363 Feynman rules, ghosts and unphysical scalars, Goldstone boson, 305 508 Goldstone’s Theorem, 306 Feynman rules, ordering of spinorial indices, Grand Unified Theories, 472, 475 173 Group theory, 486 © in this web service Cambridge University Press www.cambridge.org Cambridge University Press 978-1-107-40426-7 - The Standard Model: A Primer C. P. Burgess and Guy D. Moore Index More information Index 537 Gyroscopic ratio, of protons and neutrons, 322
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