- Docente: Tiziano Peraro
- Credits: 6
- SSD: FIS/02
- Language: English
- Moduli: Tiziano Peraro (Modulo 1) Gian Paolo Vacca (Modulo 2)
- Teaching Mode: Traditional lectures (Modulo 1) Traditional lectures (Modulo 2)
- Campus: Bologna
- Corso: Second cycle degree programme (LM) in Physics (cod. 9245)
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from Sep 21, 2023 to Nov 02, 2023
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from Nov 06, 2023 to Dec 21, 2023
Learning outcomes
At the end of the course the student will be able to: i) describe the main aspects of the phenomenology of strong interactions; ii) master and present the concepts, mechanisms and formalism at the base of the Quantum Chromodynamics; iii) apply the theoretical formalism to cases of interest in high-energy physics and perform computations of relevant observables.
Course contents
1. Motivations for QCD. Non-abelian gauge theories SU(N). Feynman rules and ghosts. Color algebra. QCD as a non-abelian gauge theory with symmetry group SU(3). BRST symmetry. Instantons.
2. Renormalisation of QCD, running coupling constant and the beta function, asymptotic freedom, renormalisation group.
3. Spinor-helicity formalism. Color decomposition of tree level QCD amplitudes. BCFW recursion relation. MHV amplitudes.
4. e+e- annihilation into hadrons at LO and NLO. Cancellation of infrared divergences. Infrared-collinear safety. Jets.
5. Hadrons in the initial state. Deep inelastic scattering, the parton model, structure functions, parton density functions. Infrared divergencies in the initial state. Collinear factorisation, splitting functions, DGLAP evolution equations.
6. Brief introduction to the Standard Model.
7. QCD at colliders. Modern experiments and phenomenological studies.
8. QCD at low energy. Effective Lagrangian and chiral symmetry.
Readings/Bibliography
Books:
• M. E. Peskin and D. V. Schroeder, An Introduction to Quantum Field Theory, (Addison Wesley, 1995)
• R. K. Ellis, W. J. Stirling & B. R. Webber, QCD and Collider Physics, (Cambridge, 1996)
• M. Srednicki, Quantum Field Theory, (Cambridge University Press, 2007)
• M. Schwartz, Quantum Field Theory and the Standard Model, (Cambridge University Press, 2014)
Lecture notes on QCD:
• Paolo Nason : Introduction to QCD [PDF [http://inspirehep.net/record/476506/files/CERN-98-03.pdf?version=1] ] [1998]
• Michelangelo Mangano : Introduction to QCD [PDF [http://cds.cern.ch/record/454171] ] [1999]
• Michael Peskin : Simplifying Multi-Jet QCD Computation [PDF [https://arxiv.org/pdf/1101.2414.pdf] ] [2011]
Teaching methods
Blackboard lectures.
Assessment methods
Interview with questions about the theory and exercises assigned during the lectures.
Office hours
See the website of Tiziano Peraro
See the website of Gian Paolo Vacca