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| 3 | == Strong interactions and symmetries 2011 == |
| 4 | |
| 5 | === Lecturers === |
| 6 | |
| 7 | * Jean-Marc Gerard |
| 8 | * Fabio Maltoni |
| 9 | |
| 10 | === Abstract === |
| 11 | |
| 12 | 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). |
| 13 | |
| 14 | === Program === |
| 15 | |
| 16 | I Part : Non-perturbative aspects and symmetries (J.-M. Gerard) |
| 17 | |
| 18 | * Perturbative vs non-perturbative approaches |
| 19 | * Chiral symmetry and 1/Nc expansion |
| 20 | * Effective Lagrangians and current algebra |
| 21 | * U(1)_A problem and T invariance |
| 22 | |
| 23 | II Part : Perturbative QCD (F. Maltoni) |
| 24 | |
| 25 | * Abelian and non-Abelian gauge invariance : formal and heuristic approaches |
| 26 | * Ghosts and basics on the quantization of gauge theories |
| 27 | * Feynman rules for QCD. Color algebra and its magic |
| 28 | * Beta function in QCD : asymptotic freedom |
| 29 | * e+ e- -> hadrons : LO (and NLO) |
| 30 | * Infrared safety. Jets. |
| 31 | |
| 32 | III Part : Advanced topics in pQCD (G. Soyez) |
| 33 | |
| 34 | * QCD in <em>e<sup>+</sup>e<sup>-</sup></em> |
| 35 | * <em>e<sup>+</sup>e<sup>-</sup></em> -> ''qqg'': QCD divergences and various consequences |
| 36 | * Event shapes, jets (cone, JADE, <em>k<sub>t</sub></em>) |
| 37 | * QCD in Deep Inelastic Scattering |
| 38 | * DIS kinematics, Parton Distribution Functions and Bjorken scaling |
| 39 | * QCD radiation: scaling violations, factorisation theorem, DGLAP equation |
| 40 | * QCD at hadronic colliders |
| 41 | * PDF uncertainties |
| 42 | * Drell-Yan and jets at LO |
| 43 | * Multileg and NLO computations |
| 44 | * jets |
| 45 | |
| 46 | === References === |
| 47 | |
| 48 | Basics |
| 49 | |
| 50 | * Cross sections and the S-matrix (Section 4.5 of Peskin and Schroeder [P&S]) |
| 51 | |
| 52 | I Part : Non-perturbative aspects and symmetries |
| 53 | |
| 54 | * [http://arxiv.org/abs/hep-ph/9505231 Quantum Chromodynamics], by A.Pich. |
| 55 | * [http://th-www.if.uj.edu.pl/acta/vol21/pdf/v21p0257.pdf Electroweak interactions of hadrons], Acta Phys. Polon. B21:257-305,1990 J.M. Gerard. |
| 56 | * [http://www.people.fas.harvard.edu/~hgeorgi/weak.pdf Weak Interactions], by Howard Georgi. |
| 57 | |
| 58 | II Part : Perturbative QCD |
| 59 | |
| 60 | * [attachment:mangano.pdf Introduction to QCD], by M.L. Mangano. |
| 61 | * [attachment:nason.pdf Introduction to QCD], by P. Nason. |
| 62 | * Section 7.4, Chapters 15 and 16, and Sections 17.1 -> 17.4 of [P&S]. |
| 63 | |
| 64 | III Part : Advanced topics in PQCD |
| 65 | |
| 66 | * [attachment:gsoyez_epem.pdf QCD in e<sup>+</sup>e<sup>-</sup>] |
| 67 | * [attachment:gsoyez_dis.pdf QCD in Deep Inelastic Scattering] |
| 68 | * [attachment:gsoyez_pp.pdf QCD at hadronic colliders] |
| 69 | * [attachment:gsoyez_figs.pdf Additional figures] |
| 70 | |
| 71 | === Exercises === |
| 72 | |
| 73 | I Part |
| 74 | |
| 75 | * A list of exercises can be found [attachment:QCD.pdf here]. |
| 76 | * Take Home Project : |
| 77 | * Calculation of the beta function in QCD. |
| 78 | * Calculation of e+ e- -> hadrons at NLO in dimensional regularization. |
| 79 | |
| 80 | II Part |
| 81 | |
| 82 | === QCD Phenomenology at colliders === |
| 83 | |
| 84 | 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. |
| 85 | |
| 86 | * [:DeadCone:Radiation from heavy quarks]: the dead cone in %$e^+e^- \to Q \bar Q g$%. |
| 87 | * [:GluonSpin:Spin of the gluon]: Vector vs scalar in the angular correlations of %$ e^+ e^- \to$% 4 jets. |
| 88 | |
| 89 | * [http://cp3wks05.fynu.ucl.ac.be/twiki/bin/view/Physics/WAsymm Drell-Yan] : Study the rapidity asymmetry at the Tevatron. |
| 90 | |
| 91 | * [:2Jets:Jets] : Di-jet kinematics and rates in pp collisions. |
| 92 | * [:3Jets:3 Jets] : Energy distributions in 3-jet events. |
| 93 | |
| 94 | * [:TopDecaySpinCorrelations: Spin correlations in top decay]. |
| 95 | * [:tt:top production] : %$t \bar t$% production, Tevatron vs LHC. |
| 96 | |
| 97 | * [:tprime:t' production] : %$t'$% production at the LHC. |
| 98 | * [:X:New resonances]: Discover new resonances at the LHC. |
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