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---+ Exclusive Jet Study With Kt, AntiKt and Cambridge Aachen Jet Finders * Reference used to calculate bin width with respect to Jet Energy Resoultion (Calculated using dijet sample): [[%ATTACHURL%/fig_07.eps][Jet_Energy_Resolution.eps]] (Jet_Energy_Resolution.eps was taken from the Jet energy Resolution Group URL https://atlas.web.cern.ch/Atlas/GROUPS/PHYSICS/CONFNOTES/ATLAS-CONF-2010-054/ ) Legend Info: * Signal - Purple * NP0 - Black * NP1 - Red * NP2 - Green (Also Sum of the Backgrounds) * NP3 - Blue %TOC% ---++ %MAKETEXT{"Kt Jet Finder"}% The K<sub>t</sub> jet finding algorithm can be broken down into three steps. 1) For each particle i, j in the event the K<sub>t</sub> distance is calculated d<sub>ij</sub> = min(P^2<sub>ti</sub>,P^2<sub>tj</sub>) ΔR ^2<sub>ij</sub> / R Where ΔR <sub>ij</sub>= (Δeta<sub>i</sub> - Δeta<sub>j</sub>)^2 + (Δphi<sub>i</sub> - Δphi<sub>j</sub>)^2 The Kt distance from particle i to the beam is also calculated d<sub>ij</sub> = P^2<sub>iB</sub> 2) The next step is to find the dmin value for all dij and diB. (Note there are differences between the Inclusive and Exclusive K<sub>t</sub> Jet algorithms) * INCLUSIVE K<sub>t</sub> Jet Algorithm: If d<sub>ij</sub> is the dmin value then the i, j particles are combined ( the particles four momenta are summed together). if d<sub>iB</sub> is the dmin value then the particle i is a final jet and the particle i is removed from the list. * Exclusive K<sub>t</sub> Jet Algorithm: If d<sub>ij</sub> is the dmin value and is less than dcut then the i, j particles are combined ( the particles four momenta are summed together). if d<sub>iB</sub> is the dmin value and is less than dcut then the particle i combined with the beam jet. 3) * INCLUSIVE K<sub>t</sub> Jet Algorithm: This process is repeated until no more particles are left. * Exclusive K<sub>t</sub> Jet Algorithm: This process ends when all d<sub>ij</sub> and d<sub>iB</sub> are above the dcut value ---++++%MAKETEXT{"Signal and Background Comparisons (Bin Width 100 GeV^2)"}% ---++++++%MAKETEXT{"Signal and Background Comparisons Not Normalized"}% Fig1.1 <img src="%ATTACHURLPATH%/AllDminSigBckKtUnNorm.png" alt="AllDminSigBckKtUnNorm.png" width='596' height='572' /> * [[%ATTACHURL%/AllDminSigBckKtUnNorm.eps][AllDminSigBckKtUnNorm.eps]]: ---++++++%MAKETEXT{"Signal and Background Comparisons Normalized (1/sigma dsigma/dDmin [GeV-2] )"}% Fig2.1 <img src="%ATTACHURLPATH%/AllDminSigBckKtNorm.png" alt="AllDminSigBckKtNorm.png" width='596' height='572' /> * [[%ATTACHURL%/AllDminSigBckKtNorm.eps][AllDminSigBckKtNorm.eps]]: ---++++++%MAKETEXT{"Signal and Background Comparisons Normalized (dsigma/dDmin [pb/GeV^2] )"}% Fig3.1 <img src="%ATTACHURLPATH%/AllDminSigBckKtNormLuminosityBinWidth.png" alt="AllDminSigBckKtNormLuminosityBinWidth.png" width='596' height='572' /> * [[%ATTACHURL%/AllDminSigBckKtNormLuminosityBinWidth.eps][AllDminSigBckKtNormLuminosityBinWidth.eps]]: ---++++++%MAKETEXT{"Signal and Sum of Background Comparisons Normalized (dsigma/dDmin [pb/GeV^2] )"}% Fig4.1 <img src="%ATTACHURLPATH%/AllDminSigBckKtNormLuminosityBinWidth.png" alt="AllDminSigBckKtNormLuminosityBinWidth.png" width='596' height='572' /> * [[%ATTACHURL%/AllDminSigBckKtSumNormLuminosityBinWidth.eps][AllDminSigBckKtSumNormLuminosityBinWidth.eps]]: ---++++%MAKETEXT{"Signal and Background Comparisons (Binned in Log(Dmin))"}% ---++++++%MAKETEXT{"Signal and Background Comparisons Not Normalized"}% Fig5.1 <img src="%ATTACHURLPATH%/AllDminSigBckktUnNormLog10.png" alt="AllDminSigBckktUnNormLog10.png" width='596' height='572' /> * [[%ATTACHURL%/AllDminSigBckktUnNormLog10.eps][AllDminSigBckktUnNormLog10.eps]] ---++++++%MAKETEXT{"Signal and Background Comparisons Normalized (1/sigma dsigma/dDmin [GeV-2] )"}% Fig6.1 <img src="%ATTACHURLPATH%/AllDminSigBckktNormLog10.png" alt="AllDminSigBckktNormLog10.png" width='596' height='572' /> * [[%ATTACHURL%/AllDminSigBckktNormLog10.eps][AllDminSigBckktNormLog10.eps]] ---++++++%MAKETEXT{"Signal and Background Comparisons Normalized (dsigma/dDmin [pb/GeV^2] )"}% Fig7.1 <img src="%ATTACHURLPATH%/AllDminSigBckktNormLuminosityBinWidthLog10.png" alt="AllDminSigBckktNormLuminosityBinWidthLog10.png" width='596' height='572' /> * [[%ATTACHURL%/AllDminSigBckktNormLuminosityBinWidthLog10.eps][AllDminSigBckktNormLuminosityBinWidthLog10.eps]] ---++++++%MAKETEXT{"Signal and Sum of Background Comparisons Normalized (dsigma/dDmin [pb/GeV^2] )"}% Fig8.1 <img src="%ATTACHURLPATH%/AllDminSigBckKtSumNormLuminosityBinWidthLog10.png" alt="AllDminSigBckKtSumNormLuminosityBinWidthLog10.png" width='596' height='572' /> * [[%ATTACHURL%/AllDminSigBckKtSumNormLuminosityBinWidthLog10.eps][AllDminSigBckKtSumNormLuminosityBinWidthLog10.eps]] ---++++++%MAKETEXT{"Signal and Sum of Background Comparisons Normalized (1/sigma dsigma/dDmin [GeV-2] )"}% Fig9.1 <img src="%ATTACHURLPATH%/AllDminSigBckKtSumNormUnityLog10.png" alt="AllDminSigBckKtSumNormUnityLog10.png" width='596' height='572' /> * [[%ATTACHURL%/AllDminSigBckKtSumNormUnityLog10.eps][AllDminSigBckKtSumNormUnityLog10.eps]] ---++ %MAKETEXT{"AntiKt Jet Finder"}% ---++++%MAKETEXT{"Signal and Background Comparisons (Bin Width 100 GeV^2)"}% ---++++++%MAKETEXT{"Signal and Background Comparisons Not Normalized "}% Fig10.1 <img src="%ATTACHURLPATH%/AllDminSigBckAntktUnNorm.png" alt="AllDminSigBckAntktUnNorm.png" width='596' height='572' /> * [[%ATTACHURL%/AllDminSigBckAntktUnNorm.eps][AllDminSigBckAntktUnNorm.eps]]: ---++++++%MAKETEXT{"Signal and Background Comparisons Normalized (1/sigma dsigma/dDmin [GeV-2] )"}% Fig11.1 <img src="%ATTACHURLPATH%/AllDminSigBckAntktNorm.png" alt="AllDminSigBckAntktNorm.png" width='596' height='572' /> * [[%ATTACHURL%/AllDminSigBckAntktNorm.eps][AllDminSigBckAntktNorm.eps]]: ---++++++%MAKETEXT{"Signal and Background Comparisons Normalized (dsigma/dDmin [pb/GeV^2] )"}% Fig12.1 <img src="%ATTACHURLPATH%/AllDminSigBckAntktNormLuminosityBinWidth.png" alt="AllDminSigBckAntktNormLuminosityBinWidth.png" width='596' height='572' /> * [[%ATTACHURL%/AllDminSigBckAntktNormLuminosityBinWidth.eps][AllDminSigBckAntktNormLuminosityBinWidth.eps]]: ---++++++%MAKETEXT{"Signal and Sum of Background Comparisons Normalized (dsigma/dDmin [pb/GeV^2] )"}% Fig13.1 <img src="%ATTACHURLPATH%/AllDminSigBckAntktSumNormLuminosityBinWidth.png" alt="AllDminSigBckAntktSumNormLuminosityBinWidth.png" width='596' height='572' /> * [[%ATTACHURL%/AllDminSigBckAntktSumNormLuminosityBinWidth.eps][AllDminSigBckAntktSumNormLuminosityBinWidth.eps]]: ---++++%MAKETEXT{"Signal and Background Comparisons (Binned in Log(Dmin))"}% ---++++++%MAKETEXT{"Signal and Background Comparisons Not Normalized"}% Fig14.1 <img src="%ATTACHURLPATH%/AllDminSigBckKtAntUnNormLog10.png" alt="AllDminSigBckKtAntUnNormLog10.png" width='596' height='572' /> * [[%ATTACHURL%/AllDminSigBckKtAntUnNormLog10.eps][AllDminSigBckKtAntUnNormLog10.eps]] ---++++++%MAKETEXT{"Signal and Background Comparisons Normalized (1/sigma dsigma/dDmin [GeV-2] )"}% Fig15.1 <img src="%ATTACHURLPATH%/AllDminSigBckAntKtNormLog10.png" alt="AllDminSigBckAntKtNormLog10.png" width='596' height='572' /> * [[%ATTACHURL%/AllDminSigBckAntKtNormLog10.eps][AllDminSigBckAntKtNormLog10.eps]] ---++++++%MAKETEXT{"Signal and Background Comparisons Normalized (dsigma/dDmin [pb/GeV^2] )"}% Fig16.1 <img src="%ATTACHURLPATH%/AllDminSigBckAntktNormLuminosityBinWidthLog10.png" alt="AllDminSigBckAntktNormLuminosityBinWidthLog10.png" width='596' height='572' /> * [[%ATTACHURL%/AllDminSigBckAntktNormLuminosityBinWidthLog10.eps][AllDminSigBckAntktNormLuminosityBinWidthLog10.eps]] ---++++++%MAKETEXT{"Signal and Sum of Background Comparisons Normalized (dsigma/dDmin [pb/GeV^2] )"}% Fig17.1 <img src="%ATTACHURLPATH%/AllDminSigBckAntktSumNormLuminosityBinWidthLog10.png" alt="AllDminSigBckAntktSumNormLuminosityBinWidthLog10.png" width='596' height='572' /> * [[%ATTACHURL%/AllDminSigBckAntktSumNormLuminosityBinWidthLog10.eps][AllDminSigBckAntktSumNormLuminosityBinWidthLog10.eps]] ---++++++%MAKETEXT{"Signal and Sum of Background Comparisons Normalized (1/sigma dsigma/dDmin [GeV-2] )"}% Fig18.1 <img src="%ATTACHURLPATH%/AllDminSigBckAntktSumNormUnityLog10.png" alt="AllDminSigBckAntktSumNormUnityLog10.png" width='596' height='572' /> * [[%ATTACHURL%/AllDminSigBckAntktSumNormUnityLog10.eps][AllDminSigBckAntktSumNormUnityLog10.eps]] -- Main.MichaelWright - 2010-10-06
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Topic revision: r12 - 2010-11-22
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