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For more information on notebooks and Mathematica-compatible applications, contact Wolfram Research: web: http://www.wolfram.com email: info@wolfram.com phone: +1-217-398-0700 (U.S.) Notebook reader applications are available free of charge from Wolfram Research. ***********************************************************************) (*CacheID: 232*) (*NotebookFileLineBreakTest NotebookFileLineBreakTest*) (*NotebookOptionsPosition[ 1958944, 33125]*) (*NotebookOutlinePosition[ 1959596, 33148]*) (* CellTagsIndexPosition[ 1959552, 33144]*) (*WindowFrame->Normal*) Notebook[{ Cell[CellGroupData[{ Cell["\<\ First we bring in the data from CDF jet sample from Matthias - use \ the streamlined seedless version keeping only iterations that stay in initial \ \"cell towers\" - analysis based on list of \"ET vectors\" and not just a \ regular grid of towers except to define the starting grid of \"seeds\". \ Fixed phi definitions. 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paratemeters together: Data - cut on tower ET to included in the analysis - \ \>", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(datacut\ = \ 0.1\)], "Input"], Cell[BoxData[ \(0.1`\)], "Output"] }, Open ]], Cell[" - cut on preprotojet (cone) ET to be kept as seed - ", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(seedcut = 0.0\)], "Input"], Cell[BoxData[ \(0.`\)], "Output"] }, Open ]], Cell[" - cut on cone ET to be a preprotojet", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(protocut = 0.0\)], "Input"], Cell[BoxData[ \(0.`\)], "Output"] }, Open ]], Cell["Jet parameters - ", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(R = 0.7\)], "Input"], Cell[BoxData[ \(0.7`\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(deleta = 0.1\)], "Input"], Cell[BoxData[ \(0.1`\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(delphi = N[2*Pi/24]\)], "Input"], Cell[BoxData[ \(0.2617993877991494`\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(jetETcut = 3\)], 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Both indices run from 1 \ to 64. We will construct jets in the eta range -3.3 to + 3.3 to avoid the \ edges, i.e., for 8", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(fac = N[Pi/12]\)], "Input"], Cell[BoxData[ \(0.2617993877991494`\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(cellcenters = Table[{i, j, i*0.1 - 4.2, fac*\((j - 0.5)\)}, {i, 1, 84}, {j, 1, 24}]\)], "Input"], Cell[BoxData[ \({{{1, 1, \(-4.1000000000000005`\), 0.1308996938995747`}, {1, 2, \(-4.1000000000000005`\), 0.39269908169872414`}, {1, 3, \(-4.1000000000000005`\), 0.6544984694978735`}, {1, 4, \(-4.1000000000000005`\), 0.916297857297023`}, {1, 5, \(-4.1000000000000005`\), 1.1780972450961724`}, {1, 6, \(-4.1000000000000005`\), 1.4398966328953218`}, {1, 7, \(-4.1000000000000005`\), 1.7016960206944711`}, {1, 8, \(-4.1000000000000005`\), 1.9634954084936205`}, {1, 9, \(-4.1000000000000005`\), 2.22529479629277`}, {1, 10, \(-4.1000000000000005`\), 2.4870941840919194`}, {1, 11, \(-4.1000000000000005`\), 2.748893571891069`}, {1, 12, 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\(-3.8000000000000003`\), 4.843288674284264`}, {4, 20, \(-3.8000000000000003`\), 5.105088062083413`}, {4, 21, \(-3.8000000000000003`\), 5.3668874498825625`}, {4, 22, \(-3.8000000000000003`\), 5.6286868376817125`}, {4, 23, \(-3.8000000000000003`\), 5.890486225480862`}, {4, 24, \(-3.8000000000000003`\), 6.152285613280011`}}, {{5, 1, \(-3.7`\), 0.1308996938995747`}, {5, 2, \(-3.7`\), 0.39269908169872414`}, {5, 3, \(-3.7`\), 0.6544984694978735`}, {5, 4, \(-3.7`\), 0.916297857297023`}, {5, 5, \(-3.7`\), 1.1780972450961724`}, {5, 6, \(-3.7`\), 1.4398966328953218`}, {5, 7, \(-3.7`\), 1.7016960206944711`}, {5, 8, \(-3.7`\), 1.9634954084936205`}, {5, 9, \(-3.7`\), 2.22529479629277`}, {5, 10, \(-3.7`\), 2.4870941840919194`}, {5, 11, \(-3.7`\), 2.748893571891069`}, {5, 12, \(-3.7`\), 3.010692959690218`}, {5, 13, \(-3.7`\), 3.2724923474893677`}, {5, 14, \(-3.7`\), 3.534291735288517`}, {5, 15, \(-3.7`\), 3.7960911230876664`}, {5, 16, \(-3.7`\), 4.057890510886816`}, {5, 17, \(-3.7`\), 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\(-3.6`\), 4.581489286485114`}, {6, 19, \(-3.6`\), 4.843288674284264`}, {6, 20, \(-3.6`\), 5.105088062083413`}, {6, 21, \(-3.6`\), 5.3668874498825625`}, {6, 22, \(-3.6`\), 5.6286868376817125`}, {6, 23, \(-3.6`\), 5.890486225480862`}, {6, 24, \(-3.6`\), 6.152285613280011`}}, {{7, 1, \(-3.5`\), 0.1308996938995747`}, {7, 2, \(-3.5`\), 0.39269908169872414`}, {7, 3, \(-3.5`\), 0.6544984694978735`}, {7, 4, \(-3.5`\), 0.916297857297023`}, {7, 5, \(-3.5`\), 1.1780972450961724`}, {7, 6, \(-3.5`\), 1.4398966328953218`}, {7, 7, \(-3.5`\), 1.7016960206944711`}, {7, 8, \(-3.5`\), 1.9634954084936205`}, {7, 9, \(-3.5`\), 2.22529479629277`}, {7, 10, \(-3.5`\), 2.4870941840919194`}, {7, 11, \(-3.5`\), 2.748893571891069`}, {7, 12, \(-3.5`\), 3.010692959690218`}, {7, 13, \(-3.5`\), 3.2724923474893677`}, {7, 14, \(-3.5`\), 3.534291735288517`}, {7, 15, \(-3.5`\), 3.7960911230876664`}, {7, 16, \(-3.5`\), 4.057890510886816`}, {7, 17, \(-3.5`\), 4.319689898685965`}, {7, 18, \(-3.5`\), 4.581489286485114`}, {7, 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1.9634954084936205`}, {9, 9, \(-3.3000000000000003`\), 2.22529479629277`}, {9, 10, \(-3.3000000000000003`\), 2.4870941840919194`}, {9, 11, \(-3.3000000000000003`\), 2.748893571891069`}, {9, 12, \(-3.3000000000000003`\), 3.010692959690218`}, {9, 13, \(-3.3000000000000003`\), 3.2724923474893677`}, {9, 14, \(-3.3000000000000003`\), 3.534291735288517`}, {9, 15, \(-3.3000000000000003`\), 3.7960911230876664`}, {9, 16, \(-3.3000000000000003`\), 4.057890510886816`}, {9, 17, \(-3.3000000000000003`\), 4.319689898685965`}, {9, 18, \(-3.3000000000000003`\), 4.581489286485114`}, {9, 19, \(-3.3000000000000003`\), 4.843288674284264`}, {9, 20, \(-3.3000000000000003`\), 5.105088062083413`}, {9, 21, \(-3.3000000000000003`\), 5.3668874498825625`}, {9, 22, \(-3.3000000000000003`\), 5.6286868376817125`}, {9, 23, \(-3.3000000000000003`\), 5.890486225480862`}, {9, 24, \(-3.3000000000000003`\), 6.152285613280011`}}, {{10, 1, \(-3.2`\), 0.1308996938995747`}, {10, 2, \(-3.2`\), 0.39269908169872414`}, {10, 3, \(-3.2`\), 0.6544984694978735`}, {10, 4, \(-3.2`\), 0.916297857297023`}, {10, 5, \(-3.2`\), 1.1780972450961724`}, {10, 6, \(-3.2`\), 1.4398966328953218`}, {10, 7, \(-3.2`\), 1.7016960206944711`}, {10, 8, \(-3.2`\), 1.9634954084936205`}, {10, 9, \(-3.2`\), 2.22529479629277`}, {10, 10, \(-3.2`\), 2.4870941840919194`}, {10, 11, \(-3.2`\), 2.748893571891069`}, {10, 12, \(-3.2`\), 3.010692959690218`}, {10, 13, \(-3.2`\), 3.2724923474893677`}, {10, 14, \(-3.2`\), 3.534291735288517`}, {10, 15, \(-3.2`\), 3.7960911230876664`}, {10, 16, \(-3.2`\), 4.057890510886816`}, {10, 17, \(-3.2`\), 4.319689898685965`}, {10, 18, \(-3.2`\), 4.581489286485114`}, {10, 19, \(-3.2`\), 4.843288674284264`}, {10, 20, \(-3.2`\), 5.105088062083413`}, {10, 21, \(-3.2`\), 5.3668874498825625`}, {10, 22, \(-3.2`\), 5.6286868376817125`}, {10, 23, \(-3.2`\), 5.890486225480862`}, {10, 24, \(-3.2`\), 6.152285613280011`}}, {{11, 1, \(-3.1`\), 0.1308996938995747`}, {11, 2, \(-3.1`\), 0.39269908169872414`}, {11, 3, \(-3.1`\), 0.6544984694978735`}, {11, 4, \(-3.1`\), 0.916297857297023`}, {11, 5, \(-3.1`\), 1.1780972450961724`}, {11, 6, \(-3.1`\), 1.4398966328953218`}, {11, 7, \(-3.1`\), 1.7016960206944711`}, {11, 8, \(-3.1`\), 1.9634954084936205`}, {11, 9, \(-3.1`\), 2.22529479629277`}, {11, 10, \(-3.1`\), 2.4870941840919194`}, {11, 11, \(-3.1`\), 2.748893571891069`}, {11, 12, \(-3.1`\), 3.010692959690218`}, {11, 13, \(-3.1`\), 3.2724923474893677`}, {11, 14, \(-3.1`\), 3.534291735288517`}, {11, 15, \(-3.1`\), 3.7960911230876664`}, {11, 16, \(-3.1`\), 4.057890510886816`}, {11, 17, \(-3.1`\), 4.319689898685965`}, {11, 18, \(-3.1`\), 4.581489286485114`}, {11, 19, \(-3.1`\), 4.843288674284264`}, {11, 20, \(-3.1`\), 5.105088062083413`}, {11, 21, \(-3.1`\), 5.3668874498825625`}, {11, 22, \(-3.1`\), 5.6286868376817125`}, {11, 23, \(-3.1`\), 5.890486225480862`}, {11, 24, \(-3.1`\), 6.152285613280011`}}, {{12, 1, \(-3.`\), 0.1308996938995747`}, {12, 2, \(-3.`\), 0.39269908169872414`}, {12, 3, \(-3.`\), 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Cell[CellGroupData[{ Cell["\<\ Now lets workout the cones on the cellcenters and the flow \ vectors\ \>", "Section"], Cell["\<\ Calculate various \"in cone\" quantities - using the nominal \ locations of \"centers\" and \"real\" ET vectors with boundary conditions for \ cyclical variable..\ \>", "Text"], Cell[BoxData[ \(coneET[k_, l_] := Sum[final[\([i, 3]\)]* If[\((\((cellcenters[\([k, l, 3]\)] - final[\([i, 1]\)])\)^2 + \((Min[ Abs[cellcenters[\([k, l, 4]\)] - final[\([i, 2]\)]], 2*Pi - Abs[cellcenters[\([k, l, 4]\)] - final[\([i, 2]\)]]])\)^2)\) \[LessEqual] R^2, 1.0, 0.0], {i, 1, Ndata}]\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(coneET[56, 22]\)], "Input"], Cell[BoxData[ \(118.96154899999999`\)], "Output"] }, Open ]], Cell["ET in a cone:", "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(DisconeET = Table[{i, j, coneET[i, j]}, {i, 9, 76}, {j, 1, 24}]\)], "Input"], Cell[BoxData[ \({{{9, 1, 0.131204`}, {9, 2, 0.312331`}, {9, 3, 0.658936`}, {9, 4, 0.631934`}, {9, 5, 0.631934`}, 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{75, 11, 0.428015`}, {75, 12, 0.428015`}, {75, 13, 0.428015`}, {75, 14, 0.319627`}, {75, 19, 0.229638`}, {75, 20, 0.229638`}, {75, 21, 0.229638`}, {76, 1, 0.142975`}, {76, 2, 1.1836609999999999`}, {76, 3, 1.1836609999999999`}, {76, 4, 1.1836609999999999`}, {76, 5, 0.466395`}, {76, 6, 0.32342`}, {76, 8, 0.284746`}, {76, 9, 0.393134`}, {76, 10, 0.712761`}, {76, 11, 0.428015`}, {76, 12, 0.428015`}, {76, 13, 0.428015`}, {76, 14, 0.319627`}, {76, 19, 0.229638`}, {76, 20, 0.229638`}, {76, 21, 0.229638`}}\)], "Output"] }, Closed]], Cell[CellGroupData[{ Cell[BoxData[ \(\(Dimensions[nonemptycones]\)[\([1]\)]\)], "Input"], Cell[BoxData[ \(1460\)], "Output"] }, Open ]], Cell[CellGroupData[{ Cell[BoxData[ \(\(Dimensions[DisconeET]\)[\([1]\)]\)], "Input"], Cell[BoxData[ \(68\)], "Output"] }, Open ]], Cell["\<\ Now calculate the two (eta,phi) components of the ET averaged \ displacement vector and make corresponding tables over central towers, \ measured with respect to the nominal tower centers.\ \>", "Text"], Cell[BoxData[ \(etavectorET[k_, l_] := If[DisconeET[\([k - 8, l, 3]\)] > 0, \((Sum[ final[\([i, 3]\)]*final[\([i, 1]\)]* If[\((\((cellcenters[\([k, l, 3]\)] - final[\([i, 1]\)])\)^2 + \((Min[ Abs[cellcenters[\([k, l, 4]\)] - final[\([i, 2]\)]], 2*Pi - Abs[cellcenters[\([k, l, 4]\)] - final[\([i, 2]\)]]])\)^2)\) \[LessEqual] R^2, 1.0, 0.0], {i, 1, Ndata}]/ DisconeET[\([k - 8, l, 3]\)])\) - cellcenters[\([k, l, 3]\)], 0]\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(TetavectorET = Table[{i, j, etavectorET[i, j]}, {i, 9, 76}, {j, 1, 24}]\)], "Input"], Cell[BoxData[ \(General::"spell1" \(\(:\)\(\ \)\) "Possible spelling error: new symbol name \"\!\(TetavectorET\)\" is \ similar to existing symbol \"\!\(etavectorET\)\"."\)], "Message"], Cell[BoxData[ \({{{9, 1, 0.5129170000000003`}, {9, 2, 0.23245897916633362`}, {9, 3, 0.37998188322841653`}, {9, 4, 0.3743010196713583`}, {9, 5, 0.3743010196713583`}, {9, 6, 0.11270399770274064`}, {9, 7, 0.029296000000000877`}, {9, 8, 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3]\)] > 0, \((Sum[ final[\([i, 3]\)]* If[cellcenters[\([k, l, 4]\)] < R, If[final[\([i, 2]\)] > 2*Pi - R, final[\([i, 2]\)] - 2*Pi, final[\([i, 2]\)]], If[cellcenters[\([k, l, 4]\)] > 2*Pi - R, If[final[\([i, 2]\)] < R, 2*Pi + final[\([i, 2]\)], final[\([i, 2]\)]], final[\([i, 2]\)]]]* If[\((\((cellcenters[\([k, l, 3]\)] - final[\([i, 1]\)])\)^2 + \((Min[ Abs[cellcenters[\([k, l, 4]\)] - final[\([i, 2]\)]], 2*Pi - Abs[cellcenters[\([k, l, 4]\)] - final[\([i, 2]\)]]])\)^2)\) \[LessEqual] R^2, 1.0, 0.0], {i, 1, Ndata}]/ DisconeET[\([k - 8, l, 3]\)])\) - cellcenters[\([k, l, 4]\)], 0]\)], "Input"], Cell[CellGroupData[{ Cell[BoxData[ \(TphivectorET = Table[{i, j, phivectorET[i, j]}, {i, 9, 76}, {j, 1, 24}]\)], "Input"], Cell[BoxData[ \(General::"spell1" \(\(:\)\(\ \)\) "Possible spelling error: new symbol name \"\!\(TphivectorET\)\" is \ similar to existing symbol \"\!\(phivectorET\)\"."\)], "Message"], Cell[BoxData[ \({{{9, 1, 0.26179930610042534`}, {9, 2, 0.3036454612444994`}, {9, 3, 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18, 0.5235987135148861`}, {73, 19, 0.26179932571573605`}, {73, 20, \(-6.208341307711862`*^-8\)}, {73, 21, \(-0.2617994498825622`\)}, {73, 22, \(-0.5235988376817122`\)}, {73, 23, 0}, {73, 24, 0}}, {{74, 1, 0.5235983061004255`}, {74, 2, 0.3333323691795257`}, {74, 3, 0.07153298138037634`}, {74, 4, \(-0.19026640641877313`\)}, {74, 5, \(-0.4520657942179226`\)}, {74, 6, \(-0.5235986328953218`\)}, {74, 7, 0.5235989793055289`}, {74, 8, 0.26179959150637955`}, {74, 9, 0.14435744582823729`}, {74, 10, 0.17002318914399028`}, {74, 11, \(-0.09177619865515929`\)}, {74, 12, \(-0.06629665116131145`\)}, {74, 13, \(-0.328096038960461`\)}, {74, 14, \(-0.523598735288517`\)}, {74, 15, 0}, {74, 16, 0}, {74, 17, 0}, {74, 18, 0.5235987135148861`}, {74, 19, 0.26179932571573605`}, {74, 20, \(-6.208341307711862`*^-8\)}, {74, 21, \(-0.2617994498825622`\)}, {74, 22, \(-0.5235988376817122`\)}, {74, 23, 0}, {74, 24, 0}}, {{75, 1, 0.5235983061004252`}, {75, 2, 0.3333323691795257`}, {75, 3, 0.07153298138037634`}, {75, 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0}, {76, 16, 0}, {76, 17, 0}, {76, 18, 0}, {76, 19, 0.26179932571573605`}, {76, 20, \(-6.208341307711862`*^-8\)}, {76, 21, \(-0.2617994498825622`\)}, {76, 22, 0}, {76, 23, 0}, {76, 24, 0}}}\)], "Output"] }, Closed]], Cell[CellGroupData[{ Cell[BoxData[ \(Dimensions[TphivectorET]\)], "Input"], Cell[BoxData[ \({68, 24, 3}\)], "Output"] }, Open ]], Cell["\<\ Make a linear array of the two components of the flow vector and \ the cone ET: note that these flow vectors are with respect to the nominal \ tower centers, even though the starting ET vectors are not necessarily \ located at these nominal centers. Keep only the cones with ET > 0.\ \>", \ "Text"], Cell[CellGroupData[{ Cell[BoxData[ \(TvectorET = Cases[Table[{Quotient[i - 1, 24] + 9, Mod[i, 24, 1], TetavectorET[\([Quotient[i - 1, 24] + 1, Mod[i, 24, 1], 3]\)], TphivectorET[\([Quotient[i - 1, 24] + 1, Mod[i, 24, 1], 3]\)], DisconeET[\([Quotient[i - 1, 24] + 1, Mod[i, 24, 1], 3]\)]}, {i, 1, 1632}], {_, _, _, _, x_} /; x > 0]\)], "Input"], Cell[BoxData[ \({{9, 1, 0.5129170000000003`, 0.26179930610042534`, 0.131204`}, {9, 2, 0.23245897916633362`, 0.3036454612444994`, 0.312331`}, {9, 3, 0.37998188322841653`, 0.15754314870480457`, 0.658936`}, {9, 4, 0.3743010196713583`, 0.04316917522536068`, 0.631934`}, {9, 5, 0.3743010196713583`, \(-0.21863021257378878`\), 0.631934`}, {9, 6, 0.11270399770274064`, 0.07421638733149116`, 0.604198`}, {9, 7, 0.029296000000000877`, 0.26179897930552865`, 0.318869`}, {9, 8, 0.0292893341524203`, 0.1836959666361644`, 0.491198`}, {9, 9, 0.07051968640283723`, 0.2679442248476005`, 1.2666760000000001`}, {9, 10, 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