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path: root/plot_llh/unitary bounds.ipynb
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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 = 1000\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 0x7ff3fc488f10>"
      ]
     },
     "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)"
   ]
  }
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