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Cargese2010
v1 v2 17 17 18 18 * [http://www.hep.phy.cam.ac.uk/theory/webber/QCDbook.html QCD and Collider Physics] by Keith Ellis, James Stirling, Bryan Webber (Cambridge Monographs, 1996). 19 * [ :FurtherReading:Perspectives on LHC physics, Ed. by G. Kane and A. Pierce].19 * [wiki:FurtherReading Perspectives on LHC physics, Ed. by G. Kane and A. Pierce]. 20 20 === MadGraph Exercises === 21 21 … … 28 28 * Register with a valid e-mail address 29 29 * Feynman diagrams. Generate a few processes (with different QED + QCD couplings) trying to guess which diagrams appear: 30 * uu~ >tt~31 * gg >tt~32 * gg >tt~h33 * uu~ >tt~bb~30 * uu~>tt~ 31 * gg>tt~ 32 * gg>tt~h 33 * uu~>tt~bb~ 34 34 * Subprocess identification. List all subprocesses contributing to: 35 * pp >h>tt~bb~36 * pp >tt~bb~37 * pp >tt~jj35 * pp>h>tt~bb~ 36 * pp>tt~bb~ 37 * pp>tt~jj 38 38 * Look at the new physics models and check the particle and interactions content. 39 39 * Advanced: Download the MG/ME package and play with the standalone version. 40 * [ :SimpleKinematics:Kinematics at the LHC]: refresh the kinematics of an hadron collider.40 * [wiki:SimpleKinematics Kinematics at the LHC]: refresh the kinematics of an hadron collider. 41 41 ==== Lecture 2: Calculate cross sections and generate events ==== 42 42 43 43 Generate events for a few selected processes and look at the plots: 44 44 45 * ttbar production with decays: pp >tt~>bb~mu+e-ve~vm46 * VV production: pp >VV>leptons, with V=Z,W.47 * Single top + Higgs: pp >tHj (QCD=0, QED=3, j=gudsc,p=gudscb). Show that there is a large negative interference between the diagrams.48 * gg >H>WW45 * ttbar production with decays: pp>tt~>bb~mu+e-ve~vm 46 * VV production: pp>VV> leptons, with V=Z,W. 47 * Single top + Higgs: pp>tHj (QCD=0, QED=3, j=gudsc,p=gudscb). Show that there is a large negative interference between the diagrams. 48 * gg>H>WW 49 49 * Weak boson fusion 50 50 51 51 Some phenomenological applications (at the parton level): 52 52 53 * [ :2Jets:Jets] : Di-jet kinematics and rates in pp collisions.54 * [ :3Jets:3 Jets] : Energy distributions in 3-jet events.55 * [http ://cp3wks05.fynu.ucl.ac.be/twiki/bin/view/Physics/WAsymm Drell-Yan] : Study the rapidity asymmetry at the Tevatron.56 * [ :tt:top production] : %$t \bar t$%production, Tevatron vs LHC.57 * [ :tprime:t' production] : %$t'$%production at the LHC.53 * [wiki:2Jets Jets] : Di-jet kinematics and rates in pp collisions. 54 * [wiki:3Jets 3 Jets] : Energy distributions in 3-jet events. 55 * [https://cp3.irmp.ucl.ac.be/projects/madgraph/wiki/WAsymm Drell-Yan] : Study the rapidity asymmetry at the Tevatron. 56 * [wiki:tt top production] : $t \bar t$ production, Tevatron vs LHC. 57 * [wiki:tprime t' production] : $t'$ production at the LHC. 58 58 ==== Lecture 3: The full simulation chain and advanced features ==== 59 59 … … 67 67 68 68 Choose a channel and investigate signal and background: 69 1. The 2 lepton + missing Et final state: %$pp \to H\to W^+ W^- \to e^- \bar \nu_e \mu^+ \nu_\mu $69 1. The 2 lepton + missing Et final state: $pp \to H\to W^+ W^- \to e^- \bar \nu_e \mu^+ \nu_\mu $ 70 70 * Signal 71 71 * Events: [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/DiscoverTheHiggs/hww-signal.lhe.gz Parton Level] [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/DiscoverTheHiggs/hww-signal.lhco.gz Detector Level] … … 74 74 * Events: [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/DiscoverTheHiggs/hww-background.lhe.gz Parton Level] [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/DiscoverTheHiggs/hww-background.lhco.gz Detector Level] 75 75 * Plots: [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/DiscoverTheHiggs/hww-background-lhe.pdf Parton Level] [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/DiscoverTheHiggs/hww-background-lhco.pdf Detector Level] 76 1. Top associated production %$pp \to t\bar tH$% with %$H \to b \bar b$%76 1. Top associated production $pp \to t\bar tH$ with $H \to b \bar b$ 77 77 * Signal + Background samples: 78 78 * Events: [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/DiscoverTheHiggs/ttbb.lhe.gz Parton Level] [http://cp3wks05.fynu.ucl.ac.be/twiki/pub/Physics/DiscoverTheHiggs/ttbb.lhco.gz Detector Level] … … 94 94 95 95 Useful extra information: 96 * In the plots %$H_T=\sum ||p_T^{vis}|| + E_T^{miss}$%.96 * In the plots $H_T=\sum ||p_T^{vis}|| + E_T^{miss}$. 97 97 * 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-. 98 98 * 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. … … 106 106 * Importance sampling via an analytic transformation 107 107 * Von Neumann's rejection method : plain and improved 108 * Phase space for 1 - >n particles108 * Phase space for 1 -> n particles 109 109 * Vegas 110 110 * Top decay : comparison among the various methods 111 * qq - >tt production111 * qq -> tt production 112 112 113 113 All exercises are presented and solved this Mathematica Notebook: [attachment:mc101.nb mc101.nb]. 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] … … 119 119 120 120 -- Main.TimStelzer - 2010-07-19 121