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{
"cells": [
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"import uproot\n",
"import numpy as np\n",
"import sys\n",
"import os\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"from mpl_toolkits import mplot3d\n",
"import itertools\n",
"import awkward as ak\n",
"import seaborn as sns\n",
"from scipy.optimize import curve_fit\n",
"%matplotlib inline"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"file = uproot.open(\"tracking_losses_ntuple_Bd2KstEE.root:PrDebugTrackingLosses.PrDebugTrackingTool/Tuple;1\")\n",
"#file = uproot.open(\"tracking_losses_ntuple_Dst0ToD0EE.root:PrDebugTrackingLosses.PrDebugTrackingTool/Tuple;1\")\n",
"\n",
"#look at particles only from Signal\n",
"allcolumns = file.arrays()\n",
"tracked = allcolumns[(allcolumns.isElectron) & (~allcolumns.lost) & (allcolumns.fromSignal)]\n",
"lost = allcolumns[(allcolumns.isElectron) & (allcolumns.lost) & (allcolumns.fromSignal)] \n",
"\n",
"#ak.num(tracked, axis=0)\n",
"\n"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"#lost\n",
"l_eph = lost[\"brem_photons_pe\"]\n",
"ak.nan_to_num(l_eph)\n",
"l_pT = lost[\"pt\"]\n",
"l_sci_x = lost[\"scifi_hit_pos_x\"]\n",
"ak.nan_to_num(l_sci_x)\n",
"\n",
"#found\n",
"f_eph = tracked[\"brem_photons_pe\"]\n",
"ak.nan_to_num(f_eph)\n",
"f_pT = tracked[\"pt\"]\n",
"f_sci_x = tracked[\"scifi_hit_pos_x\"]\n",
"ak.nan_to_num(f_sci_x)\n",
"\n",
"l_sci_x, l_pT = ak.broadcast_arrays(l_sci_x, l_pT)\n",
"f_sci_x, f_pT = ak.broadcast_arrays(f_sci_x, f_pT)\n",
"\n",
"l_sci_x = ak.to_numpy(ak.flatten(l_sci_x))\n",
"l_pT = ak.to_numpy(ak.flatten(l_pT))\n",
"f_sci_x = ak.to_numpy(ak.flatten(f_sci_x))\n",
"f_pT = ak.to_numpy(ak.flatten(f_pT))"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
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"text/plain": [
"<Figure size 2000x600 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ((ax0, ax1)) = plt.subplots(nrows=1, ncols=2, figsize=(20,6))\n",
"\n",
"ax0.hist2d(l_sci_x, l_pT, bins=100, cmap=plt.cm.jet)\n",
"ax0.set_xlabel(\"scifi x\")\n",
"ax0.set_ylabel(r\"$p_T$\")\n",
"ax0.set_title(\"lost electron positions in the scifi in regard to their transverse momentum\")\n",
"pcm0 = ax0.pcolormesh([l_sci_x,l_pT])\n",
"plt.colorbar(pcm0,ax=ax0)\n",
"\n",
"ax1.hist2d(f_sci_x, f_pT, bins=100, cmap=plt.cm.jet)\n",
"ax1.set_xlabel(\"scifi x\")\n",
"ax1.set_ylabel(r\"$p_T$\")\n",
"ax1.set_title(\"found electron positions in the scifi in regard to their transverse momentum\")\n",
"pcm1 = ax1.pcolormesh([f_sci_x,f_pT])\n",
"plt.colorbar(pcm1,ax=ax1)\n",
"\n",
"\"\"\"\n",
"B:\n",
"we can see that the lost electrons cover a wider spread in the x direction of the scifi tracker,\n",
"while most of those have low pT \n",
"\n",
"\"\"\"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"[[4.09e+04], [8.66e+03], [8.07e+04], ..., [5.63e+03], [6.29e+03], [2.26e+03]]\n",
"[4.62e+04, 9.36e+03, 1.34e+05, 5.63e+04, ..., 2.01e+04, 6.94e+03, 7.83e+03]\n",
"8657.132\n",
"9355.866625028413\n"
]
}
],
"source": [
"energy_found = tracked[\"energy\"]\n",
"energy_found = energy_found[tracked[\"brem_photons_pe_length\"]!=0]\n",
"#ak.nan_to_num(energy_found)\n",
"\n",
"e_ph_found = tracked[\"brem_photons_pe\"]\n",
"e_ph_found = e_ph_found[tracked[\"brem_photons_pe_length\"]!=0]\n",
"#ak.nan_to_num(e_ph_found, nan=[0])\n",
"e_ph_found = ak.sum(e_ph_found, axis=-1, keepdims=True)\n",
"print(e_ph_found)\n",
"print(energy_found)\n",
"\n",
"energy_lost = lost[\"energy\"]\n",
"energy_lost = energy_lost[lost[\"brem_photons_pe_length\"]!=0]\n",
"#ak.nan_to_num(energy_lost)\n",
"\n",
"e_ph_lost = lost[\"brem_photons_pe\"]\n",
"e_ph_lost = e_ph_lost[lost[\"brem_photons_pe_length\"]!=0]\n",
"#ak.nan_to_num(e_ph_lost)\n",
"e_ph_lost = ak.sum(e_ph_lost, axis=-1,keepdims=True)\n",
"\n",
"#e_ph_found, energy_found = ak.broadcast_arrays(e_ph_found, energy_found)\n",
"#e_ph_lost, energy_lost = ak.broadcast_arrays(e_ph_lost, energy_lost)\n",
"\n",
"e_ph_found = ak.to_numpy(ak.flatten(e_ph_found))\n",
"energy_found = ak.to_numpy(energy_found)\n",
"\n",
"e_ph_lost = ak.to_numpy(ak.flatten(e_ph_lost))\n",
"energy_lost = ak.to_numpy(energy_lost)\n",
"\n",
"print(e_ph_found[1])\n",
"print(energy_found[1])"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"q_e_found = e_ph_found/energy_found\n",
"q_e_lost = e_ph_lost/energy_lost"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
"<Figure size 640x480 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"plt.hist(q_e_lost, bins=100, density=True, alpha=0.5, histtype='bar', color=\"darkorange\", label=\"lost\")\n",
"plt.hist(q_e_found, bins=100, density=True, alpha=0.5, histtype='bar', color=\"blue\", label=\"found\")\n",
"plt.xlabel(r\"$E_\\gamma/E_0$\")\n",
"plt.ylabel(\"counts (normed)\")\n",
"plt.title(r'$E_{ph}/E_0$')\n",
"plt.legend()\n",
"\n",
"\"\"\"\n",
"B:\n",
"we can clearly see that lost electrons are responsible for higher energy photons\n",
"\"\"\"\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 2000x600 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ((ax0, ax1)) = plt.subplots(nrows=1, ncols=2, figsize=(20,6))\n",
"\n",
"ax0.hist2d(e_ph_found, energy_found, density=True, bins=200, cmap=plt.cm.jet, range=[[0,100000],[0,100000]])\n",
"ax0.set_xlabel(r\"$E_\\gamma$\")\n",
"ax0.set_ylabel(r\"$E_e$\")\n",
"ax0.set_title(\"found electron energy against photon energy\")\n",
"pcm0 = ax0.pcolormesh([e_ph_found, energy_found])\n",
"plt.colorbar(pcm0,ax=ax0)\n",
"\n",
"ax1.hist2d(e_ph_lost, energy_lost, density=True, bins=200, cmap=plt.cm.jet, range=[[0,100000],[0,100000]])\n",
"ax1.set_xlabel(r\"$E_\\gamma$\")\n",
"ax1.set_ylabel(r\"$E_e$\")\n",
"ax1.set_title(\"lost electron energy against photon energy\")\n",
"pcm1 = ax1.pcolormesh([e_ph_lost, energy_lost])\n",
"plt.colorbar(pcm1,ax=ax1)\n",
"\n",
"\"\"\"\n",
"B:\n",
"concentrated at the E_ph/E_0~1 line especially at lower energies.\n",
"lost E_ph to E_0: fewer entries at lower q_e\n",
"\"\"\"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 52,
"metadata": {},
"outputs": [],
"source": [
"brem_vtx_x_found = tracked[\"brem_vtx_x\"]\n",
"brem_vtx_x_found = brem_vtx_x_found[tracked[\"brem_vtx_x_length\"]!=0]\n",
"brem_vtx_x_found = ak.to_numpy(ak.flatten(brem_vtx_x_found))\n",
"\n",
"brem_vtx_z_found = tracked[\"brem_vtx_z\"]\n",
"brem_vtx_z_found = brem_vtx_z_found[tracked[\"brem_vtx_z_length\"]!=0]\n",
"#print(ak.to_numpy(brem_vtx_z_found))\n",
"brem_vtx_z_found = ak.to_numpy(ak.flatten(brem_vtx_z_found))\n",
"\n",
"brem_vtx_x_lost = lost[\"brem_vtx_x\"]\n",
"brem_vtx_x_lost = brem_vtx_x_lost[lost[\"brem_vtx_x_length\"]!=0]\n",
"brem_vtx_x_lost = ak.to_numpy(ak.flatten(brem_vtx_x_lost))\n",
"\n",
"brem_vtx_z_lost = lost[\"brem_vtx_z\"]\n",
"brem_vtx_z_lost = brem_vtx_z_lost[lost[\"brem_vtx_z_length\"]!=0]\n",
"brem_vtx_z_lost = ak.to_numpy(ak.flatten(brem_vtx_z_lost))\n",
"\n",
"#vtx_x_fit= ak.to_numpy(vtx_x_found)\n",
"#vtx_z_fit = ak.to_numpy(vtx_z_found)"
]
},
{
"cell_type": "code",
"execution_count": 24,
"metadata": {},
"outputs": [],
"source": [
"\n"
]
},
{
"cell_type": "code",
"execution_count": 53,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 2000x600 with 4 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ((ax0, ax1)) = plt.subplots(nrows=1, ncols=2, figsize=(20,6))\n",
"\n",
"a0 = ax0.hist2d(brem_vtx_z_found, brem_vtx_x_found, density=False, bins=300, cmap=plt.cm.jet, cmin=1)\n",
"ax0.set_xlabel(\"z\")\n",
"ax0.set_ylabel(\"x\")\n",
"ax0.set_title(r\"$e^\\pm$ found brem vertices\")\n",
"\n",
"plt.colorbar(a0[3],ax=ax0)\n",
"\n",
"a1 = ax1.hist2d(brem_vtx_z_lost, brem_vtx_x_lost, density=False, bins=300, cmap=plt.cm.jet, cmin=1)\n",
"ax1.set_xlabel(\"z\")\n",
"ax1.set_ylabel(\"x\")\n",
"ax1.set_title(r\"$e^\\pm$ lost brem vertices\")\n",
"#ax1.set(xlim=(0,4000), ylim=(-1000,1000))\n",
"\n",
"plt.colorbar(a1[3], ax=ax1)\n",
"\n",
"\"\"\"\n",
"z: VeLo - RICH1 - TT - Magnet - T1,T2,T3 - RICH2 - M1\n",
"B:\n",
"vertices of lost e photons are more densely concentrated around the beampipe\n",
"found: \n",
"\"\"\"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": 47,
"metadata": {},
"outputs": [],
"source": [
"#plot singular tracks by fitting brem vertices\n",
"vtx_z_found = tracked[\"brem_vtx_z\"]\n",
"vtx_z_found = vtx_z_found[tracked[\"brem_vtx_z_length\"]>3]\n",
"\n",
"vtx_x_found = tracked[\"brem_vtx_x\"]\n",
"vtx_x_found = vtx_x_found[tracked[\"brem_vtx_x_length\"]>3]\n",
"\n",
"vtx_z_lost = lost[\"brem_vtx_z\"]\n",
"vtx_z_lost = vtx_z_lost[lost[\"brem_vtx_z_length\"]>3]\n",
"\n",
"vtx_x_lost = lost[\"brem_vtx_x\"]\n",
"vtx_x_lost = vtx_x_lost[lost[\"brem_vtx_x_length\"]>3]\n",
"\n",
"def cubic_fit(x, a, b, c, d):\n",
" return (a + b*x + c*x**2 + d*x**3)\n"
]
},
{
"cell_type": "code",
"execution_count": 50,
"metadata": {},
"outputs": [
{
"data": {
"image/png": 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"text/plain": [
"<Figure size 2000x600 with 2 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fig, ((ax0, ax1)) = plt.subplots(nrows=1, ncols=2, figsize=(20,6))\n",
"\n",
"for i in range(3,6):\n",
" popt, pcov = curve_fit(cubic_fit,ak.to_numpy(vtx_z_found[i,:]),ak.to_numpy(vtx_x_found[i,:]))\n",
" z_coord = np.linspace(vtx_z_found[i,0],12000,1000)\n",
" fit = cubic_fit(z_coord, popt[0], popt[1], popt[2], popt[3])\n",
" ax0.plot(z_coord, fit, \"-\", label=\"fit\"+str(i))\n",
"\n",
"ax0.legend()\n",
"ax0.set_xlabel(\"z [mm]\")\n",
"ax0.set_ylabel(\"x [mm]\")\n",
"ax0.set_title(\"found tracks of brem vertices from few signals\")\n",
"ax0.set(xlim=(0,12000), ylim=(-4000,4000))\n",
"ax0.grid()\n",
"\n",
"for i in range(3,6):\n",
" popt, pcov = curve_fit(cubic_fit,ak.to_numpy(vtx_z_lost[i,:]),ak.to_numpy(vtx_x_lost[i,:]))\n",
" z_coord = np.linspace(vtx_z_lost[i,0],12000,1000)\n",
" fit = cubic_fit(z_coord, popt[0], popt[1], popt[2], popt[3])\n",
" ax1.plot(z_coord, fit, \"-\", label=\"fit\"+str(i))\n",
"\n",
"ax1.legend()\n",
"ax1.set_xlabel(\"z [mm]\")\n",
"ax1.set_ylabel(\"x [mm]\")\n",
"ax1.set_title(\"lost tracks of brem vertices from few signals\")\n",
"ax1.set(xlim=(0,12000), ylim=(-4000,4000))\n",
"ax1.grid()\n",
"\n",
"plt.show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
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