| | 1 | |
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| | 3 | == HEPTOOLS 2008 <BR> Graduate School in Physics at Colliders : <BR> "From twistors to Monte Carlos" == |
| | 4 | |
| | 5 | |
| | 6 | === Lectures === |
| | 7 | |
| | 8 | Find [attachment:maltoni_lectures.pdf here] the pdf of the 4 hour lecture on "Monte Carlo's for the LHC" by Fabio Maltoni.<br> |
| | 9 | Find [http://www.pd.infn.it/~passera/JC_2007-08/frixione.html here] a very nice course on QCD and MC by Stefano Frixione. |
| | 10 | |
| | 11 | === MC101 === |
| | 12 | |
| | 13 | A short introduction to the techniques of Monte Carlo integration. Exercises include: |
| | 14 | |
| | 15 | * Write the simplest integration function based on the definition of average and error |
| | 16 | * Importance sampling via an analytic transformation |
| | 17 | * Von Neumann's rejection method : plain and improved |
| | 18 | * Phase space for 1 -> n particles |
| | 19 | * Vegas |
| | 20 | * Top decay : comparison among the various methods |
| | 21 | * qq -> tt production |
| | 22 | |
| | 23 | All exercises are presented and solved this Mathematica Notebook: [attachment:mc101.nb mc101.nb]. |
| | 24 | Reference: [http://www.slac.stanford.edu/spires/find/hep/www?eprint=hep-ph/0006269 Introduction to MC methods], by [http://wwwthep.physik.uni-mainz.de/~stefanw/ Stefan Weinzierl] |
| | 25 | |
| | 26 | === Exercises === |
| | 27 | |
| | 28 | All exercises proposed here can be "solved" or checked with Software.MadGraph / Software.MadEvent. To familiarize with the code click [:MGFamiliarize:here]. |
| | 29 | |
| | 30 | |
| | 31 | * [:DeadCone:Radiation from heavy quarks]: the dead cone in %$e^+e^- \to Q \bar Q g$%. |
| | 32 | * [:GluonSpin:Spin of the gluon]: Vector vs scalar in the angular correlations of %$ e^+ e^- \to$% 4 jets. |
| | 33 | * [:2Jets:Jets] : Di-jet kinematics and rates in pp collisions. |
| | 34 | * [:3Jets:3 Jets] : Energy distributions in 3-jet events. |
| | 35 | * [:TopDecaySpinCorrelations: Spin correlations in top decay]. |
| | 36 | * [:tt:top production] : %$t \bar t$% production, Tevatron vs LHC. |
| | 37 | * [:SimpleKinematics:Kinematics at the LHC]: single particle quantities. |
| | 38 | |
| | 39 | Reference: [http://www.hep.phy.cam.ac.uk/theory/webber/QCDbook.html QCD and Collider Physics] |
| | 40 | by Keith Ellis, James Stirling, Bryan Webber (Cambridge Monographs, 1996). |
| | 41 | |
| | 42 | === Discover the SM Higgs at the LHC === |
| | 43 | |
| | 44 | * Find the best prediction for Higgs production at the LHC [http://maltoni.web.cern.ch/maltoni/TeV4LHC/index.html here]. |
| | 45 | * Find the Higgs branching ratios [attachment:h-br.pdf here]. |
| | 46 | |
| | 47 | Choose a channel and investigate signal and background: |
| | 48 | |
| | 49 | 1. The 4 lepton final state: %$pp \to H\to Z Z \to e^+e^- \mu^+ \mu^-$% |
| | 50 | * Signal |
| | 51 | * Events: [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/h4l-signal.lhe.gz Parton Level] [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/h4l-signal.lhco.gz Detector Level] |
| | 52 | <!-- * Plots: [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/h4l-signal-lhe.pdf Parton Level] [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/h4l-signal-lhco.pdf Detector Level] --> |
| | 53 | * Background |
| | 54 | * Events: [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/h4l.lhe.gz Parton Level] [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/h4l.lhco.gz Detector Level] |
| | 55 | <!-- * Plots: [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/h4l-lhe.pdf Parton Level] [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/h4l-lhco.pdf Detector Level] --> |
| | 56 | 1. The 2 lepton + missing Et final state: %$pp \to H\to W^+ W^- \to e^- \bar \nu_e \mu^+ \nu_\mu $% |
| | 57 | * Signal |
| | 58 | * Events: [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/hww-signal.lhe.gz Parton Level] [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/hww-signal.lhco.gz Detector Level] |
| | 59 | <!-- * Plots: [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/hww-signal-lhe.pdf Parton Level] [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/hww-signal-lhco.pdf Detector Level] --> |
| | 60 | * Background |
| | 61 | * Events: [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/hww-background.lhe.gz Parton Level] [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/hww-background.lhco.gz Detector Level] |
| | 62 | <!-- * Plots: [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/hww-background-lhe.pdf Parton Level] [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/hww-background-lhco.pdf Detector Level] --> |
| | 63 | 1. Top associated production %$pp \to t\bar tH$% with %$H \to b \bar b$% |
| | 64 | * Signal + Background samples: |
| | 65 | * Events: [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/ttb.lhe.gz Parton Level] [attachment:ttbb.lhco.gz Detector Level] |
| | 66 | * Plots: [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/ttbb-lhe.pdf Parton Level] [attachment:ttbb-lhco.pdf Detector Level] |
| | 67 | |
| | 68 | === Discover New gauge bosons at the LHC === |
| | 69 | |
| | 70 | Three "black boxes" are given, in the form of event files in the LHC Olympics format and a series of selected plots: |
| | 71 | |
| | 72 | * Box A : [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Library/CernSummerSchool/A.lhco.gz Events] Plots: [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Library/CernSummerSchool/A-lhe.pdf Parton level] [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Library/CernSummerSchool/A.pdf Detector level] |
| | 73 | * Box B : [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Library/CernSummerSchool/B.lhco.gz Events] Plots: [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Library/CernSummerSchool/B-lhe.pdf Parton level] [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Library/CernSummerSchool/B.pdf Detector level] |
| | 74 | * Box C : [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Library/CernSummerSchool/C.lhco.gz Events] Plots: [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Library/CernSummerSchool/C-lhe.pdf Parton level] [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Library/CernSummerSchool/C.pdf Detector level] |
| | 75 | |
| | 76 | Black boxes contain only signal events. The students are asked to pair up the boxes above with the following models and also answer to the questions: |
| | 77 | |
| | 78 | * Model 1 : Extra Z (zp) : What its mass? Does it have Standard Model couplings to fermions? |
| | 79 | * Model 2 : Heavy Scalar (h): What its mass? Is it a SM Higgs? |
| | 80 | * Model 3 : Extra W (wp+ or wp-) : What its mass? Does it have Standard Model couplings to fermions? |
| | 81 | |
| | 82 | Useful extra information: |
| | 83 | * In the plots %$H_T=\sum ||p_T^{vis}|| + E_T^{miss}$%. |
| | 84 | * A SM-like Z' would decay (more or less democratically) into: jet jet (uu~,cc~,dd~,ss~,bb~), t tbar (tt~), lept+lept- (e+e-,mu+mu-,ta+ta-), neutrino anti-neutrino (ve ve~,vm vm~,vt vt~). It could also have couplings to SM W and Z, and in that case would decay in to ZZ and W+W-. |
| | 85 | * An Higgs couple to particles with a strength which is proportional to the particle masses. A SM-like heavy H would decay in to t tbar (tt~), W+W-, ZZ. |
| | 86 | * A SM-like W'+ would decay into: jet jet (ud~,cs~), t b (tb~), lept neutrino (e+ ve , mu+ vm, ta+ vt). It could also have couplings to SM W and Z, and in that case would decay in to ZW. |
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| | 88 | |
| | 89 | === Analysis Tools === |
| | 90 | |
| | 91 | * a Fortran-based package: Software.MadAnalysis ([http://madgraph.phys.ucl.ac.be/cgi-bin/NewProcess/download.cgi Download it here]) |
| | 92 | * a Mathematica-based package: [http://www.jthaler.net/olympics/software.html Chameleon]. |
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| | 95 | |
| | 96 | -- Main.FabioMaltoni - 03 Jan 2008 |
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