diff options
| author | shivesh <s.p.mandalia@qmul.ac.uk> | 2019-09-19 00:46:01 +0100 |
|---|---|---|
| committer | shivesh <s.p.mandalia@qmul.ac.uk> | 2019-09-19 00:46:01 +0100 |
| commit | 1edf1e62497024aee542fea5a1d251750c36b170 (patch) | |
| tree | 0fc5b59abfb4cf11278bb3f5cb2bf42cd770fef9 /plot_llh/.ipynb_checkpoints/unitary bounds-checkpoint.ipynb | |
| parent | 51f283a2afd6fc59ff5afeae61e5f3c283a8eba0 (diff) | |
| download | GolemFlavor-1edf1e62497024aee542fea5a1d251750c36b170.tar.gz GolemFlavor-1edf1e62497024aee542fea5a1d251750c36b170.zip | |
thesis plots
Diffstat (limited to 'plot_llh/.ipynb_checkpoints/unitary bounds-checkpoint.ipynb')
| -rw-r--r-- | plot_llh/.ipynb_checkpoints/unitary bounds-checkpoint.ipynb | 256 |
1 files changed, 0 insertions, 256 deletions
diff --git a/plot_llh/.ipynb_checkpoints/unitary bounds-checkpoint.ipynb b/plot_llh/.ipynb_checkpoints/unitary bounds-checkpoint.ipynb deleted file mode 100644 index f81c448..0000000 --- a/plot_llh/.ipynb_checkpoints/unitary bounds-checkpoint.ipynb +++ /dev/null @@ -1,256 +0,0 @@ -{ - "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", - "tRed = np.array([226,101,95]) / 255.\n", - "tBlue = np.array([96,149,201]) / 255.\n", - "tGreen = np.array([170,196,109]) / 255." - ] - }, - { - "cell_type": "code", - "execution_count": 3, - "metadata": {}, - "outputs": [], - "source": [ - "f_s = fr_utils.normalise_fr((1, 4, 0))" - ] - }, - { - "cell_type": "code", - "execution_count": 4, - "metadata": {}, - "outputs": [], - "source": [ - "def Sp(x, y, z):\n", - " if np.power(x, 2) < (np.power(y - z, 2) / 9.):\n", - " return -1\n", - " num = np.power(3*x + y + z, 2) - (4 * y * z)\n", - " den = 24 * x\n", - " return num / den" - ] - }, - { - "cell_type": "code", - "execution_count": 5, - "metadata": {}, - "outputs": [], - "source": [ - "S1 = lambda x, y, z: (x + y + z) / 3.\n", - "S2 = lambda x, y, z: [x/2., y/2., z/2.]\n", - "S3 = lambda x, y, z: [Sp(x, y, z), Sp(y, z, x), Sp(z, x, y)]\n", - "\n", - "B_v = np.vectorize(lambda x, y, z: max([0] + [S1(x, y, z)] + S2(x, y, z) + S3(x, y, z)))" - ] - }, - { - "cell_type": "code", - "execution_count": 6, - "metadata": {}, - "outputs": [], - "source": [ - "n_om = 1000\n", - "n_chi = 1000\n", - "\n", - "omega = np.linspace(-np.pi, np.pi, n_om)\n", - "chi = np.linspace(-np.pi, np.pi, n_chi)" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "metadata": {}, - "outputs": [], - "source": [ - "x = (1 - f_s[0] - 2*f_s[1]) * np.sin(omega)\n", - "y = (1 - 2*f_s[0] - f_s[1]) * np.cos(omega)\n", - "z = (f_s[1] - f_s[0]) * (np.cos(omega) - np.sin(omega))" - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "metadata": {}, - "outputs": [], - "source": [ - "B = B_v(x, y, z)" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "metadata": {}, - "outputs": [], - "source": [ - "def Eb(B, omega, chi):\n", - " if np.abs(chi - omega) >= (np.pi / 2.):\n", - " return 1\n", - " return B / np.cos(chi - omega)\n", - "\n", - "eta = np.zeros_like(chi)\n", - "for i_chi in xrange(n_chi):\n", - " nB = []\n", - " for i_ome in xrange(n_om):\n", - " nB.append(Eb(B[i_ome], omega[i_ome], chi[i_chi]))\n", - " eta[i_chi] = np.min(nB)\n", - "\n", - "df_em = eta * np.cos(chi)\n", - "df_um = eta * np.sin(chi)" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "metadata": {}, - "outputs": [], - "source": [ - "af_m = np.dstack([\n", - " df_em + f_s[0],\n", - " df_um + f_s[1],\n", - " 1 - ((df_em + f_s[0]) - (df_um + f_s[1]))\n", - "])[0]" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [], - "source": [ - "nbins = 25\n", - "fontsize = 23" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "[<matplotlib.patches.Polygon at 0x7f409d165950>]" - ] - }, - "execution_count": 12, - "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", - "def project(p):\n", - " \"\"\"Convert from flavour to cartesian.\"\"\"\n", - " a, b, c = p\n", - " x = a + b/2.\n", - " y = b * np.sqrt(3)/2.\n", - " return [x, y]\n", - "\n", - "pol = np.array(map(project, af_m))\n", - "ax.fill(pol.T[0]*nbins, pol.T[1]*nbins)\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 -} |
