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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?

QCD2: QCD in the final state?

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

  1. pp>H at LO (1-loop): details of the calculation (Mathematica Notebook) HiggsGG-LO-mtfinite.nb?
  2. pp>H at NLO: details of the calculation (Mathematica Notebook) higgsGG-NLO.nb?
  3. 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.

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

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.

-- Main.FabioMaltoni - 2011-09-09