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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.

A collection of test, exercises, and web applications on pQCD can be found in QCD-exercises.pdf?.

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) .
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- 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?.

- [: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.

A short introduction to the techniques of Monte Carlo integration. Exercises proposed during lecture are collected in this Mathematica Notebook: mc101.nb?.

- [:DiscoverTheHiggs:SM Higgs discovery at the LHC]: Three important channels
- [:WarmingUpChallenge:Simple Black Boxes]: New gauge bosons

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