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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [],
"source": [
"%matplotlib inline\n",
"%load_ext autoreload\n",
"%autoreload 2"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"\"\"\"From 'Unitary bounds of astrophysical neutrinos' DOI 10.1103/PhysRevD.98.123023\"\"\"\n",
"import sys\n",
"sys.path.extend(['.', '..'])\n",
"\n",
"import numpy as np\n",
"import matplotlib as mpl\n",
"from matplotlib import rc\n",
"rc('text', usetex='True')\n",
"import matplotlib.pyplot as plt\n",
"from matplotlib.patches import Circle, Rectangle, Wedge\n",
"from matplotlib.legend_handler import HandlerPatch\n",
"plt.style.use('./paper.mplstyle')\n",
"\n",
"mpl.rcParams['text.latex.preamble'] = [\n",
" r'\\usepackage{amsmath}',\n",
" r'\\usepackage{amssymb}',\n",
" r'\\usepackage{accents}',\n",
" r'\\DeclareSymbolFont{matha}{OML}{txmi}{m}{it}',\n",
" r'\\DeclareMathSymbol{\\nu}{\\mathord}{matha}{118}']\n",
"mpl.rcParams['text.latex.unicode'] = True\n",
"\n",
"import warnings\n",
"with warnings.catch_warnings():\n",
" import ternary\n",
"\n",
" warnings.simplefilter(\"ignore\")\n",
" from utils import fr as fr_utils\n",
" from utils import plot as plot_utils\n",
"\n",
"from unitarity import calc_unitarity_bounds\n",
" \n",
"tRed = list(np.array([226,101,95]) / 255.)\n",
"tBlue = list(np.array([96,149,201]) / 255.)\n",
"tGreen = list(np.array([170,196,109]) / 255.)"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"f_s_120 = fr_utils.normalise_fr((1, 2, 0))\n",
"f_s_010 = fr_utils.normalise_fr((0, 1, 0))\n",
"f_s_100 = fr_utils.normalise_fr((1, 0, 0))"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"n_samples = 360\n",
"f_m_120 = calc_unitarity_bounds(f_s_120, n_samples)\n",
"f_m_010 = calc_unitarity_bounds(f_s_010, n_samples)\n",
"f_m_100 = calc_unitarity_bounds(f_s_100, n_samples)"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"nbins = 25\n",
"fontsize = 23"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"<matplotlib.legend.Legend at 0x7f02805c3850>"
]
},
"execution_count": 6,
"metadata": {},
"output_type": "execute_result"
},
{
"name": "stderr",
"output_type": "stream",
"text": [
"/home/shivesh/programs/anaconda2/lib/python2.7/site-packages/matplotlib/font_manager.py:1331: UserWarning: findfont: Font family [u'serif'] not found. Falling back to DejaVu Sans\n",
" (prop.get_family(), self.defaultFamily[fontext]))\n"
]
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 864x864 with 1 Axes>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"# Figure\n",
"fig = plt.figure(figsize=(12, 12))\n",
"\n",
"# Axis\n",
"ax = fig.add_subplot(111)\n",
"#ax_labels = [r'$f_{e,\\oplus}$', r'$f_{\\mu,\\oplus}$', r'$f_{\\tau,\\oplus}$']\n",
"ax_labels = [r'$\\nu_e\\:\\:{\\rm fraction}\\:\\left( f_{e,\\oplus}\\right)$',\n",
" r'$\\nu_\\mu\\:\\:{\\rm fraction}\\:\\left( f_{\\mu,\\oplus}\\right)$',\n",
" r'$\\nu_\\tau\\:\\:{\\rm fraction}\\:\\left( f_{\\tau,\\oplus}\\right)$']\n",
"tax = plot_utils.get_tax(ax, scale=nbins, ax_labels=ax_labels, rot_ax_labels=True)\n",
"\n",
"# Plot scatter\n",
"tax.scatter([f_s_120*nbins], marker='o', s=350, facecolors=tRed,\n",
" edgecolors='k', linewidth=2.3, zorder=10,\n",
" label=r'$(1:2:0\\smash{)_{\\rm S}}$')\n",
"tax.scatter([f_s_010*nbins], marker='s', s=350, facecolors=tGreen,\n",
" edgecolors='k', linewidth=2.3, zorder=10,\n",
" label=r'$(0:1:0\\smash{)_{\\rm S}}$')\n",
"tax.scatter([f_s_100*nbins], marker='^', s=350, facecolors=tBlue,\n",
" edgecolors='k', linewidth=2.3, zorder=10,\n",
" label=r'$(1:0:0\\smash{)_{\\rm S}}$')\n",
"\n",
"# Plot fill\n",
"for f_m, col in reversed(zip((f_m_120, f_m_010, f_m_100), (tRed, tGreen, tBlue))):\n",
" plot_utils.tax_fill(\n",
" ax=ax,\n",
" points=f_m,\n",
" nbins=nbins,\n",
" linewidth = 3,\n",
" facecolor = col+[0.4],\n",
" edgecolor = col,\n",
" zorder = 4\n",
" )\n",
"\n",
"tax.scatter(f_m_100*nbins, zorder=10, s=10, color='k')\n",
" \n",
"# Legend\n",
"l_size = fontsize\n",
"legend = plt.legend(loc=(0.7, 0.75), title=r'Source composition',\n",
" fontsize=l_size, prop={'size': fontsize})\n",
"plt.setp(legend.get_title(), fontsize=l_size)\n",
"ax.add_artist(legend)\n",
"\n",
"#fig.savefig('./plots/unitarity.pdf', bbox_inches='tight', dpi=150)"
]
}
],
"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": "2.7.15"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
|