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Strong interactions and symmetries 2011
Lecturers
- Jean-Marc Gerard
- Fabio Maltoni
Abstract
This course aims at providing a first introduction to perturbative and non perturbative QCD. The prerequisites include Quantum Field Theory I and II, and Relativistic Quantum Mechanics. The course will be divided in three parts, for a total of 30+10 hours (5+1 ECTS).
Program
I Part : Non-perturbative aspects and symmetries (J.-M. Gerard)
- Perturbative vs non-perturbative approaches
- Chiral symmetry and 1/Nc expansion
- Effective Lagrangians and current algebra
- U(1)_A problem and T invariance
II Part : Perturbative QCD (F. Maltoni)
- Abelian and non-Abelian gauge invariance : formal and heuristic approaches
- Ghosts and basics on the quantization of gauge theories
- Feynman rules for QCD. Color algebra and its magic
- Beta function in QCD : asymptotic freedom
- e+ e- -> hadrons : LO (and NLO)
- Infrared safety. Jets.
III Part : Advanced topics in pQCD (G. Soyez)
- QCD in <em>e<sup>+</sup>e<sup>-</sup></em>
- <em>e<sup>+</sup>e<sup>-</sup></em> -> qqg: QCD divergences and various consequences
- Event shapes, jets (cone, JADE, <em>k<sub>t</sub></em>)
- QCD in Deep Inelastic Scattering
- DIS kinematics, Parton Distribution Functions and Bjorken scaling
- QCD radiation: scaling violations, factorisation theorem, DGLAP equation
- QCD at hadronic colliders
- PDF uncertainties
- Drell-Yan and jets at LO
- Multileg and NLO computations
- jets
References
Basics
- Cross sections and the S-matrix (Section 4.5 of Peskin and Schroeder [P&S])
I Part : Non-perturbative aspects and symmetries
- Quantum Chromodynamics, by A.Pich.
- Electroweak interactions of hadrons, Acta Phys. Polon. B21:257-305,1990 J.M. Gerard.
- Weak Interactions, by Howard Georgi.
II Part : Perturbative QCD
- Introduction to QCD, by M.L. Mangano.
- Introduction to QCD, by P. Nason.
- Section 7.4, Chapters 15 and 16, and Sections 17.1 -> 17.4 of [P&S].
III Part : Advanced topics in PQCD
- QCD in e<sup>+</sup>e<sup>-</sup>
- QCD in Deep Inelastic Scattering
- QCD at hadronic colliders
- Additional figures
Exercises
I Part
- A list of exercises can be found here.
- Take Home Project :
- Calculation of the beta function in QCD.
- Calculation of e+ e- -> hadrons at NLO in dimensional regularization.
II Part
QCD Phenomenology at colliders
Here is a list of exercises that can be "solved" using Software.MadGraph. To do so register at http://madgraph.hep.uiuc.edu and send an e-mail to F.M. to get running access.
- [:DeadCone:Radiation from heavy quarks]: the dead cone in %%.
- [:GluonSpin:Spin of the gluon]: Vector vs scalar in the angular correlations of %% 4 jets.
- Drell-Yan : Study the rapidity asymmetry at the Tevatron.
- [:2Jets:Jets] : Di-jet kinematics and rates in pp collisions.
- [:3Jets:3 Jets] : Energy distributions in 3-jet events.
- [:TopDecaySpinCorrelations: Spin correlations in top decay].
- [:tt:top production] : %% production, Tevatron vs LHC.
- [:tprime:t' production] : %% production at the LHC.
- [:X:New resonances]: Discover new resonances at the LHC.
Attachments (11)
- gsoyez_figs.pdf (804.4 KB) - added by anonymous 6 years ago.
- latexa45377d3a108b758f3fcec98bee734ac.png (206 bytes) - added by anonymous 6 years ago.
- gsoyez_dis.pdf (1.1 MB) - added by anonymous 6 years ago.
- QCD.pdf (743.2 KB) - added by anonymous 6 years ago.
- nason.pdf (728.3 KB) - added by anonymous 6 years ago.
- gsoyez_pp.pdf (1.9 MB) - added by anonymous 6 years ago.
- gsoyez_epem.pdf (845.9 KB) - added by anonymous 6 years ago.
- latexc5f1df00f22dce59d56dce3b4ed8514e.png (286 bytes) - added by anonymous 6 years ago.
- mangano.pdf (764.4 KB) - added by anonymous 6 years ago.
- latex7865165209cef156c8d9fad188c6938d.png (483 bytes) - added by anonymous 6 years ago.
- latex5ce57ab4a760c23d94ff64d0f2c0bdaf.png (210 bytes) - added by anonymous 6 years ago.