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Basics of QCD for the LHC, Cern School 2011
5 Lectures are given on QCD and MC's developments for the LHC.
The PDF of the lectures can be found here:
QCD1 : Intro and QCD fundamentals
QCD3: QCD in the initial state
QCD4: From accurate QCD to useful QCD
QCD5: Advanced QCD with applications to the LHC
The examples and exercises are related to physics at the LHC.
Basic aspects of QCD
Various Tests and exercises
A collection of test, exercises, and web applications on pQCD can be found in QCD-exercises.pdf.
Exercise on recursive relations
Think 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) . }
Going NLO
- pp>H at LO (1-loop): details of the calculation (Mathematica Notebook) HiggsGG-LO-mtfinite.nb
- pp>H at NLO: details of the calculation (Mathematica Notebook) higgsGG-NLO.nb
- pp>H at NLO: cross section evaluation for the LHC (Mathematica Notebook+PDF libraries to be compiled) phenHiggs.tar.gz.
A summary of the results can be found in Higgs.pdf.
Selected exercises on QCD that can be solved with a Matrix Element generator.
- [:DeadCone:Radiation from heavy quarks]: the dead cone in %%.
- [:GluonSpin:Spin of the gluon]: Vector vs scalar in the angular correlations of %% 4 jets.
- [:2Jets:Jets] : Di-jet kinematics and rates in pp collisions.
- [:3Jets:3 Jets] : Energy distributions in 3-jet events in pp collisions.
- [:tt:top production] : %% production, Tevatron vs LHC.
- [:WAsymm:Drell-Yan]: rapidity asymmetry at the Tevatron and LHC.
- [:TopDecaySpinCorrelations: Spin correlations in top decay], by Bryan Webber.
Monte Carlo integration
A short introduction to the techniques of Monte Carlo integration. Exercises proposed during lecture are collected in this Mathematica Notebook: mc101.nb.
LHC Phenomenology
- [:DiscoverTheHiggs:SM Higgs discovery at the LHC]: Three important channels
- [:WarmingUpChallenge:Simple Black Boxes]: New gauge bosons
How to familiarize with Software.MadGraph
All exercises proposed can be "solved" or checked with Software.MadGraph / Software.MadEvent. Here is how to familiarize with the code.
- Logon to the Software.MadGraph web site and register.
- 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 %% collisions so that the triple gauge vertex appear?
- Look at the new physics models and check the particle and interactions content.
- Generate events for a few selected processes and look at the plots:
- ttbar production with decays: pp>tt~>bb~mu+e-ve~vm
- VV production: pp>VV> leptons, with V=Z,W.
- Single top + Higgs: pp>tHj (QCD=0, QED=3, j=gudsc,p=gudscb). Show that there is a large negative interference between the diagrams
-- Main.FabioMaltoni - 2011-09-09
Attachments
- QCD1.pdf (3.7 MB) - added by trac 6 years ago.
- QCD2.pdf (2.4 MB) - added by trac 6 years ago.
- QCD3.pdf (2.9 MB) - added by trac 6 years ago.
- QCD4.pdf (2.7 MB) - added by trac 6 years ago.
- QCD5.pdf (2.7 MB) - added by trac 6 years ago.
- QCD-exercises.pdf (748.9 KB) - added by trac 6 years ago.
- HiggsGG-LO-mtfinite.nb (12.4 KB) - added by trac 6 years ago.
- HiggsGG-NLO.nb (38.8 KB) - added by trac 6 years ago.
- phenHiggs.tar.gz (243.1 KB) - added by trac 6 years ago.
- Higgs.pdf (171.0 KB) - added by trac 6 years ago.
- mc101.nb (318.9 KB) - added by trac 6 years ago.