The Standard Model

• Lectures
  • Handout 1: conventions and material assumed from other courses
  • A. Introduction: Motivation, structure of the course, fields of the Standard Model, Chirality, Abelian gauge fields and unitarity, non-Abelian gauge theory.
  • B. PCT: Parity, charge conjugation, time reversal all on scalar, vector and fermionic fields. CPT theorem, neutrino masses.
  • C. Spontaneous symmetry breaking: problems with short range interactions, spontaneous breaking of: discrete symmetries, continuous global symmetries, Goldstone's theorem - classical and quantum, abelian Higgs mechanism, non-abelian Higgs mechanism, renormalisability and unitarity of higgsed theory.
  • D. Electroweak Gauge Theory: spontaneous breakdown of SU(2)xU(1), physical degrees of freedom, massive vector bosons, lepton representations, lepton mass, family replication, quark representations, CKM matrix, lepton mixing
  • E. Weak Interactions: cross sections and decay rates, effective lagrangian, leptonic decays, semi-leptonic decays, non-leptonic decays, CP violation
  • F. Quantum Chromodynamics: renormalisation and running coupling, e+e- -> hadrons, deep inelastic scattering: kinematics, factorisation, QCD corrections
• Problem sheets
  • 1. C,P,T and fermionic fields
  • 2. Spontaneous symmetry breakdown
  • 3. Electroweak theory and mixing effects
  • 4. Decays and running coupling
• Other Standard Model notes: Hugh Osborn

Lecture notes copyright © 2004 Ben Allanach unless otherwise credited. Permission is granted to copy and distribute freely, so long as proper attribution is given, no alterations are made, and no monetary profit is gained. All files are in postscript.

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