1. Partons, factorization and evolution
a) Factorization theorem, DGLAP evolution
b) Stochastic evolution: parton showers, event generation
2. Infrared and collinear divergences in QCD
a) Eikonal approximation
b) Power counting
c) Ward identities, factorization
3. Resummation
a) All-order matrix elements and phase space
b) Examples of resummed cross sections: Drell-Yan, Higgs, event shapes
4. Some new developments
a) Soft-collinear effective theory
b) Soft anomalous dimensions
c) Webs: diagrams and path integrals
Background Literature:
- G. Sterman, Introduction to Quantum Field Theory, CUP, Ch. 12, 13 & 14
- Ellis, Stirling, Webber; QCD and Collider Physics, CUP, Chapter 5.
- E. Laenen, Pramana 63, attached
- Lecture notes at school
1. BRST symmetry of gauge theories
2. Renormalization of unbroken gauge theories
a) BRST Ward identities (Gamma-Gamma equations) for proper graphs
b) Divergences allowed by BRST symmetry
c) Divergences allowed by power counting
d) Renormalization of unbroken gauge theories
3. Renormalization of spontaneously broken gauge theories
a) SU(2) Goldstone model
b) Spontaneously broken SU(2) Higgs model
c) Renormalizability of the SU(2) Higgs model
4. Unitarity from the cutting rules
a) Unitarity for spin 0 and 1/2 (the largest time equation)
b) BRST Ward identities for connected graphs
c) Analysis of divergences
d) Unitarity of the renormalized theory
Background Literature:
* G.'t Hooft and M. Veltman, Diagrammar, attached
* M. Veltman, Diagrammatica, CUP.