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First_Example_Dimuons_All_Presentation.ipynb.json
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{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"<img src=\"http://files.oproject.org/img/HeaderOpenData.png\">\n",
"\n",
"# CMS Open Data Examples #1: Di-Muons\n",
"\n",
"Detailed help for the ROOT package calls you can get from \n",
"https://root.cern.ch/doc/master/annotated.html\n",
"\n",
"Hints for coding:\n",
"- The document is structured into \"cells\". There are three different cell types (see menue), but here only \"Markdown\" and \"Code\" cells are used. This cell e.g. is a \"Markdown\" cell.\n",
"- \"Markdown\" cells are used to write comments and are interpreted as HTLM code. Double click these cells for editing. \n",
"- \"Code\" cells are used to write the Python code.\n",
"\n",
"Hints for executing:\n",
"- Press ‹Ctrl›+‹Enter› to run the current cell (see also \"command palette\" in menue).\n",
"- Press ‹Shift›+‹Enter› to run the current cell and select the next.\n",
"- Select \"Menu\"→\"Kernel\"→\"Restart & Clear Output\" to clean up.\n",
"- Select \"Menu\"→\"File\"→\"Save and Checkpoint\" to save the document.\n",
"- Select \"Menu\"→\"File\"→\"Close and Halt\" to finish (save first!).\n"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Example 1: Plot Momentum of Muon 1"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"application/javascript": [
"\n",
"require(['notebook'],\n",
" function() {\n",
" IPython.CodeCell.config_defaults.highlight_modes['magic_text/x-c++src'] = {'reg':[/^%%cpp/]};\n",
" console.log(\"JupyROOT - %%cpp magic configured\");\n",
" }\n",
");\n"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"Welcome to JupyROOT 6.07/07\n"
]
}
],
"source": [
"# This Program will call Functions from the ROOT-Library,\n",
"# hence these functions must first be \"imported\" to our program. \n",
"# This Programm will only invoke the ROOT functions\n",
"# \"TFile\", \"TTree\", \"TCanvas\" and \"TH1F\",\n",
"# therefore these four functions are now imported. \n",
"from ROOT import TFile, TTree, TCanvas, TH1F\n",
"\n",
"# Turn on Javascript.\n",
"# Javascript allows you to access and adjust the displayed images online.\n",
"%jsroot on"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Read in Data from Input File\n",
"Reading collision data (=Objects) takes two steps:\n",
" 1. Open the file\n",
" 2. Read the data from the opened file"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"collapsed": false
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"TFile: name=data/Dimuons.root, title=, option=READ\n"
]
}
],
"source": [
"# 1. Open the input file\n",
"# Open the Inputfile (here \"data/Dimuons.root\") and return a reference (here named \"fileDimu\") for later access. \n",
"fileDimu = TFile(\"data/Dimuons.root\",\"READ\")\n",
"# and test it by printing its header\n",
"fileDimu.Print()"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# 2. Get the references from all (here \"Dimuons\") selected objects of the input files\n",
"objectsDimu = fileDimu.Get(\"Dimuons\")\n",
"# and test it by printing its headther data\n",
"# objectsDimu.Print()\n",
"# This output lists you all the names () of the values.\n",
"# With this names "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Plot Histograms\n",
"The Histograms are plotted within a Canvas (=image section), the tree steps to do this are:\n",
"1. Setup a canvas\n",
"2. Load the histogram data into the canvas pads\n",
"3. Draw and display the Canvas"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# 1. Setup a canvas \n",
"#\n",
"# Create canvas (or image section) to display images within.\n",
"# The TCanvas() call returns you a reference ( here named \"canvasMu1\") to access it later.\n",
"canvasMu1 = TCanvas()\n",
"\n",
"# Now the canvas properties can be set. \n",
"# Here e.g. the canvas is divided horizontally into 2 and horizontally into 1\n",
"# independent pads(=graphical areas), such as it displays two pads in one row \n",
"canvasMu1.Divide(2,1)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [],
"source": [
"# 2. Load the histogram data into the canvas pads\n",
"#\n",
"# Set canvas pad for next histogram \n",
"canvasMu1.cd(1)\n",
"# Load histogram with \"Muon1_Px\" values of all the objects (=collisions=events) into pad 1 .\n",
"objectsDimu.Draw(\"Muon1_Px\")\n",
"\n",
"# Set canvas pad for next histogram \n",
"canvasMu1.cd(2);\n",
"# Load histogram with \"Muon1_Py\" values of all the objects (=collisions=events) into pad 2 .\n",
"objectsDimu.Draw(\"Muon1_Py\")"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {
"collapsed": false
},
"outputs": [
{
"data": {
"text/html": [
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"<div id=\"root_plot_1\"\n",
" style=\"width: 696px; height: 472px\">\n",
"</div>\n",
"\n",
"<script>\n",
" requirejs.config({\n",
" paths: {\n",
" 'JSRootCore' : 'https://root.cern.ch/js/notebook//scripts/JSRootCore',\n",
" }\n",
" });\n",
" require(['JSRootCore'],\n",
" function(Core) {\n",
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fAlpha\":1},{\"_typename\":\"TColor\",\"fUniqueID\":0,\"fBits\":50331648,\"fName\":\"\",\"fTitle\":\"\",\"fNumber\":1169,\"fRed\":9.824000e-01,\"fGreen\":9.216375e-01,\"fBlue\":9.855625e-02,\"fHue\":-1.588187e-23,\"fLight\":-1.588187e-23,\"fSaturation\":-1.588187e-23,\"fAlpha\":1},{\"_typename\":\"TColor\",\"fUniqueID\":0,\"fBits\":50331648,\"fName\":\"\",\"fTitle\":\"\",\"fNumber\":1170,\"fRed\":9.818000e-01,\"fGreen\":9.277937e-01,\"fBlue\":9.409063e-02,\"fHue\":-1.588187e-23,\"fLight\":-1.588187e-23,\"fSaturation\":-1.588187e-23,\"fAlpha\":1},{\"_typename\":\"TColor\",\"fUniqueID\":0,\"fBits\":50331648,\"fName\":\"\",\"fTitle\":\"\",\"fNumber\":1171,\"fRed\":9.812000e-01,\"fGreen\":9.339500e-01,\"fBlue\":8.962500e-02,\"fHue\":-1.588187e-23,\"fLight\":-1.588187e-23,\"fSaturation\":-1.588187e-23,\"fAlpha\":1},{\"_typename\":\"TColor\",\"fUniqueID\":0,\"fBits\":50331648,\"fName\":\"\",\"fTitle\":\"\",\"fNumber\":1172,\"fRed\":9.806000e-01,\"fGreen\":9.401063e-01,\"fBlue\":8.515938e-02,\"fHue\":-1.588187e-23,\"fLight\":-1.588187e-23,\"fSaturation\":-1.588187e-23,\"fAlpha\":1},{\"_typename\":\"TColor\",\"fUniqueID\":0,\"fBits\":50331648,\"fName\":\"\",\"fTitle\":\"\",\"fNumber\":1173,\"fRed\":9.800000e-01,\"fGreen\":9.462625e-01,\"fBlue\":8.069375e-02,\"fHue\":-1.588187e-23,\"fLight\":-1.588187e-23,\"fSaturation\":-1.588187e-23,\"fAlpha\":1},{\"_typename\":\"TColor\",\"fUniqueID\":0,\"fBits\":50331648,\"fName\":\"\",\"fTitle\":\"\",\"fNumber\":1174,\"fRed\":9.794000e-01,\"fGreen\":9.524187e-01,\"fBlue\":7.622813e-02,\"fHue\":-1.588187e-23,\"fLight\":-1.588187e-23,\"fSaturation\":-1.588187e-23,\"fAlpha\":1},{\"_typename\":\"TColor\",\"fUniqueID\":0,\"fBits\":50331648,\"fName\":\"\",\"fTitle\":\"\",\"fNumber\":1175,\"fRed\":9.788000e-01,\"fGreen\":9.585750e-01,\"fBlue\":7.176250e-02,\"fHue\":-1.588187e-23,\"fLight\":-1.588187e-23,\"fSaturation\":-1.588187e-23,\"fAlpha\":1},{\"_typename\":\"TColor\",\"fUniqueID\":0,\"fBits\":50331648,\"fName\":\"\",\"fTitle\":\"\",\"fNumber\":1176,\"fRed\":9.782000e-01,\"fGreen\":9.647313e-01,\"fBlue\":6.729688e-02,\"fHue\":-1.588187e-23,\"fLight\":-1.588187e-23,\"fSaturation\":-1.588187e-23,\"fAlpha\":1},{\"_typename\":\"TColor\",\"fUniqueID\":0,\"fBits\":50331648,\"fName\":\"\",\"fTitle\":\"\",\"fNumber\":1177,\"fRed\":9.776000e-01,\"fGreen\":9.708875e-01,\"fBlue\":6.283125e-02,\"fHue\":-1.588187e-23,\"fLight\":-1.588187e-23,\"fSaturation\":-1.588187e-23,\"fAlpha\":1},{\"_typename\":\"TColor\",\"fUniqueID\":0,\"fBits\":50331648,\"fName\":\"\",\"fTitle\":\"\",\"fNumber\":1178,\"fRed\":9.770000e-01,\"fGreen\":9.770437e-01,\"fBlue\":5.836562e-02,\"fHue\":-1.588187e-23,\"fLight\":-1.588187e-23,\"fSaturation\":-1.588187e-23,\"fAlpha\":1}]}],\"opt\":[\"\",\"\",\"\"]},\"fExecs\":null,\"fName\":\"c1\",\"fTitle\":\"c1\",\"fDISPLAY\":\"$DISPLAY\",\"fDoubleBuffer\":0,\"fRetained\":true,\"fXsizeUser\":0,\"fYsizeUser\":0,\"fXsizeReal\":20,\"fYsizeReal\":1.428571e+01,\"fWindowTopX\":0,\"fWindowTopY\":0,\"fWindowWidth\":0,\"fWindowHeight\":0,\"fCw\":696,\"fCh\":472,\"fCatt\":{\"_typename\":\"TAttCanvas\",\"fXBetween\":2,\"fYBetween\":2,\"fTitleFromTop\":1.200000e+00,\"fXdate\":2.000000e-01,\"fYdate\":3.000000e-01,\"fAdate\":1},\"kMoveOpaque\":true,\"kResizeOpaque\":true,\"fHighLightColor\":2,\"fBatch\":true,\"kShowEventStatus\":false,\"kAutoExec\":true,\"kMenuBar\":true});\n",
" Core.draw(\"root_plot_1\", obj, \"\");\n",
" }\n",
" );\n",
"</script>\n"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 3. Draw the canvas.\n",
"# If a canvas with the name is already on the screen, the canvas is repainted. \n",
"canvasMu1.Draw()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Example 2: Plot Charge and Momentum of Muon 2 within a 2x2 Canvas\n",
"The collision data (=Objects) is already available, hence we only have to plot it."
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"data": {
"text/html": [
"\n",
"<div id=\"root_plot_2\"\n",
" style=\"width: 696px; height: 472px\">\n",
"</div>\n",
"\n",
"<script>\n",
" requirejs.config({\n",
" paths: {\n",
" 'JSRootCore' : 'https://root.cern.ch/js/notebook//scripts/JSRootCore',\n",
" }\n",
" });\n",
" require(['JSRootCore'],\n",
" function(Core) {\n",
" var obj = 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toExec\":true,\"kMenuBar\":true});\n",
" Core.draw(\"root_plot_2\", obj, \"\");\n",
" }\n",
" );\n",
"</script>\n"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 1. Setup a canvas \n",
"canvasMu2 = TCanvas()\n",
"canvasMu2.Divide(3,2)\n",
"\n",
"# 2. Load the histogram data into the canvas pads\n",
"canvasMu2.cd(1) \n",
"objectsDimu.Draw(\"Muon2_Px\")\n",
"\n",
"canvasMu2.cd(2)\n",
"objectsDimu.Draw(\"Muon2_Py\")\n",
"\n",
"canvasMu2.cd(3)\n",
"objectsDimu.Draw(\"Muon2_Pz\")\n",
"\n",
"canvasMu2.cd(5)\n",
"objectsDimu.Draw(\"Muon2_Charge\")\n",
"\n",
"# 3. Draw the canvas.\n",
"canvasMu2.Draw()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Example 3: Plot the Invariant Mass of the Di-Muon \n",
"<img src=\"http://cms.web.cern.ch/sites/cms.web.cern.ch/files/styles/large/public/field/image/2011-bs-1-2.jpg?itok=k5_hcnFt\"></img> <BR>\n",
"\n",
"The invariant mass $M$ data is not listed in the data file. Hence we have to calculate it by ourselves.\n",
"\n",
"The tree steps are:\n",
"\n",
"1. Setup a new Canvas\n",
"2. Create the histogram using a formula.\n",
"3. Display the Canvas"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# 1. Setup a canvas \n",
"# Create the canvas\n",
"canvasInvMass = TCanvas()\n",
"# Set logarithmic scale for y-axis\n",
"canvasInvMass.SetLogy()\n",
"# Set logarithmic scale for x-axis\n",
"canvasInvMass.SetLogx()"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Formula:\n",
" sqrt((Muon1_Energy + Muon2_Energy)^2 - (Muon1_Px + Muon2_Px)^2 - (Muon1_Py + Muon2_Py)^2 - (Muon1_Pz + Muon2_Pz)^2)\n",
"\n",
"Selection criteria:\n",
" \n",
"Test:\n",
" sqrt((Muon1_Energy + Muon2_Energy)^2 - (Muon1_Px + Muon2_Px)^2 - (Muon1_Py + Muon2_Py)^2 - (Muon1_Pz + Muon2_Pz)^2)>>InvariantMass\n"
]
}
],
"source": [
"# 2. Create the histogram using a formula.\n",
"#\n",
"# We create a new histogram invoking TH1F, it's syntax is:\n",
"# returedReference = TH1F(\"Name (referred later in objectsDimu.Draw)\", \"Title;x-axe name;x-axe name\", \"number of bins\", \"minimum\", \"maximum\")\n",
"th1fInvariantMass = TH1F(\"InvariantMass\",\"#mu#mu mass; #mu#mu mass [GeV]; Events\", 900, 2, 120)\n",
"#\n",
"# Define the Formula (here the *Invariant Mass\" formula) \n",
"charFormula =\"sqrt((Muon1_Energy + Muon2_Energy)^2 - (Muon1_Px + Muon2_Px)^2 - (Muon1_Py + Muon2_Py)^2 - (Muon1_Pz + Muon2_Pz)^2)\"\n",
"print(\"Formula:\\n %s\") % charFormula\n",
"#\n",
"# Define the Selection Creteria (h):\n",
"# E.g.: Select only \"global muons i.e.: charSelection = \"Muon1_Global == 1 && Muon2_Global == 1\" \n",
"charSelection = \"\" # Here we just select all and thus have no selection creteria, i.e. an empty string \n",
"print(\"\\nSelection criteria:\\n %s\") % charSelection\n",
"#\n",
"# We put the data into the histogram (here InvariantMass\\\") invoking objectsDimu.Draw, it's syntax is: \n",
"# objectsDimu.Draw( \"Formula\" + \">>\" + \"Histogram Name\", \"Selection\")\n",
"# \n",
"objectsDimu.Draw( charFormula + \">>\" + \"InvariantMass\", charSelection)\n",
"\n",
"#\n",
"# Test: Print \"objectsDimu.Draw\" input string:\n",
"charTest = charFormula + \">>\" + \"InvariantMass\"\n",
"print(\"Test:\\n %s\") % charTest"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {
"collapsed": false,
"scrolled": true
},
"outputs": [
{
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" Core.draw(\"root_plot_3\", obj, \"\");\n",
" }\n",
" );\n",
"</script>\n"
],
"text/plain": [
"<IPython.core.display.HTML object>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# 3. Draw the canvas.\n",
"canvasInvMass.Draw()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Exercises"
]
},
{
"cell_type": "markdown",
"metadata": {
"collapsed": true
},
"source": [
"### Exercise 1a: Can you spot any Di-Muon Resonances by eye?"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exercise 1b: Toggle Logarithmic scale on/off with Your Mouse "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exercise 1c: Zoom In on a One of the Resonances with Your Mouse"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"### Exercise 2: Repeat exercise 1b by modifying code in cell [8]"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {
"collapsed": false
},
"outputs": [],
"source": [
"# Enter your text in these cells ..."
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {
"collapsed": true
},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 2",
"language": "python",
"name": "python2"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 2
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython2",
"version": "2.7.10"
}
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"nbformat": 4,
"nbformat_minor": 0
}