Changes between Initial Version and Version 1 of CernSchool2011

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  • CernSchool2011

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     3== Basics of QCD for the LHC, Cern School 2011 == 
     55 Lectures are given on QCD and MC's developments for the LHC. 
     7The PDF of the lectures can be found here: 
     9[attachment:QCD1.pdf QCD1 : Intro and QCD fundamentals] 
     11[attachment:QCD2.pdf QCD2: QCD in the final state] 
     13[attachment:QCD3.pdf QCD3: QCD in the initial state] 
     15[attachment:QCD4.pdf QCD4: From accurate QCD to useful QCD] 
     17[attachment:QCD5.pdf QCD5: Advanced QCD with applications to the LHC] 
     19The examples and exercises are related to physics at the LHC. 
     20=== Basic aspects of QCD === 
     21===== Various Tests and exercises ===== 
     23A collection of test, exercises, and web applications on pQCD can be found in [attachment:QCD-exercises.pdf QCD-exercises.pdf]. 
     25===== Exercise on recursive relations ===== 
     27Think about the computation of q \bar q + n \gamma in a recursive way, by trying not calculate the same quantities twice. Show that the complexity of the calculation goes from n! (factorial) to 2^{n-1} (exponential) . 
     28=== Going NLO === 
     30   1. pp>H at LO (1-loop): details of the calculation (Mathematica Notebook) [attachment:HiggsGG-LO-mtfinite.nb HiggsGG-LO-mtfinite.nb] 
     31   1. pp>H at NLO: details of the calculation (Mathematica Notebook) [attachment:HiggsGG-NLO.nb higgsGG-NLO.nb] 
     32   1. pp>H at NLO: cross section evaluation for the LHC (Mathematica Notebook+PDF libraries to be compiled) [attachment:phenHiggs.tar.gz phenHiggs.tar.gz]. 
     34A summary of the results can be found in [attachment:Higgs.pdf Higgs.pdf]. 
     36=== Selected exercises on QCD that can be solved with a Matrix Element generator. === 
     38   * [:DeadCone:Radiation from heavy quarks]: the dead cone in %$e^+e^- \to Q \bar Q g$%. 
     39   * [:GluonSpin:Spin of the gluon]: Vector vs scalar in the angular correlations of %$ e^+ e^- \to$% 4 jets. 
     40   * [:2Jets:Jets] : Di-jet kinematics and rates in pp collisions. 
     41   * [:3Jets:3 Jets] : Energy distributions in 3-jet events in pp collisions. 
     42   * [:tt:top production] : %$t \bar t$% production, Tevatron vs LHC. 
     43   * [:WAsymm:Drell-Yan]: rapidity asymmetry at the Tevatron and LHC. 
     44   * [:TopDecaySpinCorrelations: Spin correlations in top decay], by [ Bryan Webber]. 
     46=== Monte Carlo integration === 
     48A short introduction to the techniques of Monte Carlo integration. Exercises proposed during lecture are collected in this Mathematica Notebook: [attachment:mc101.nb mc101.nb]. 
     50=== LHC Phenomenology === 
     52   * [:DiscoverTheHiggs:SM Higgs discovery at the LHC]: Three important channels 
     53   * [:WarmingUpChallenge:Simple Black Boxes]: New gauge bosons 
     55=== How to familiarize with Software.MadGraph === 
     57All exercises proposed can be "solved" or checked with Software.MadGraph / Software.MadEvent. Here is how to familiarize with the code. 
     59   * Logon to the Software.MadGraph web site and register. 
     61   * Familiarize with the code by generating a few processes in QED and QCD trying to guess which diagrams appear. What is the minimum number of jets have to be asked for in %$e^+e^-$% collisions so that the triple gauge vertex appear? 
     63   * Look at the new physics models and check the particle and interactions content. 
     65   * Generate events for a few selected processes and look at the plots:  
     66      * ttbar production with decays: pp>tt~>bb~mu+e-ve~vm 
     67      * VV production: pp>VV> leptons, with V=Z,W. 
     68      * Single top + Higgs: pp>tHj (QCD=0, QED=3, j=gudsc,p=gudscb). Show that there is a large negative interference between the diagrams 
     70-- Main.FabioMaltoni - 2011-09-09