Lecturers: Dirk ZERWAS, Emilian DUDAS, Stéphane MUNIER


The course will be divided in three parts. One lecturer will deal with the phenomenological aspects of the standard model, emphasizing the confrontation of theory and experiment. The other two lecturers will focus on the theory of the electroweak sector and of the strong sector of the standard model respectively.

1) Phenomenological and experimental aspects of the standard model (theory confronts experiment):

- Experimental issues : accelerators and detectors
- Particles, 4-vectors, particle interactions, description of an unstable particle
- Internal structure of the hadrons : deep inelastic scattering, scale invariance, parton model
- Hadron spectroscopy : isospin and SU(2), hypercharge and SU(3), quark model
- Strong interaction : the ratio R, color jets, alphaS
- Weak interaction : parity violation, W and Z bosons
- CP violation and the CKM matrix
- The Higgs boson, its properties and the search for the Higgs boson

2) Electroweak theory:

- Yang-Mills theories
- Spontaneous symmetry breaking and the Goldstone theorem
- Higgs mechanism
- The electroweak sector of the Standard Model : mixing angle, gauge boson masses, neutral and charged currents, the CKM matrix
- The GIM mechanism
- Custodial symmetry
- Renormalization group evolution of the couplings, Callan-Symanzik equation.
- Stability and triviality bounds on the Higgs boson mass (*)
- Quantum anomalies
- Neutrino masses and mixings (*)

(*) Optional topics, depending on the time left.

Bibliography:

- M.Peskin and D. Schroeder, An Introduction to quantum field theory, 1995, Reading, USA: Addison-Wesley (1995) 842 p
- S. Weinberg, The quantum theory of fields. Vol. 2: Modern applications, 1996, Cambridge, UK: Univ. Pr. (1996) 489 p
- Itzykson et Zuber, Quantum Field Theory, 1980, New York, USA, Mcgraw-Hill.


3) Quantum chromodynamics:

- Review of the basics of QCD: quarks and gluons, the action and its quantization.
- Renormalization, asymptotic freedom. Operator product expansion, perturbative methods, all-order resummations of perturbative series.
- Parton densities and their evolution in perturbative QCD. DGLAP and BFKL equations.
- Infrared divergences. Definition of jets.

Bibliography:

- M.Peskin and D. Schroeder, An Introduction to quantum field theory, 1995, Reading, USA: Addison-Wesley (1995). The notations and conventions will be taken from this reference.
- T. Muta, "Foundations of quantum chromodynamics", World scientific, 1998
- R K Ellis, W J Stirling and B R Webber, "QCD and Collider Physics", Cambridge University Press

ECTS credits: 8

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