{ "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": [ "import numpy as np" ] }, { "cell_type": "code", "execution_count": 4, "metadata": {}, "outputs": [], "source": [ "sm_010 = np.load('./chains/mcmc_DIM3_sfr_0_1_0_mfr_3.29685E+15_7.88411E+15_6.83344E+15_fix_scale_0.1_sigma_100000_proc.npy')\n", "sm_100 = np.load('./chains/mcmc_DIM3_sfr_1_0_0_mfr_1.98171E+16_6.59371E+15_9.61795E+15_fix_scale_0.1_sigma_100000_proc.npy')\n", "sm_120 = np.load('./chains/mcmc_DIM3_sfr_1_2_0_mfr_5.50076E+15_6.35502E+15_6.15862E+15_fix_scale_0.1_sigma_10000000_proc.npy')\n", "sm_120_uni = np.load('./chains/mcmc_unitary_DIM3_sfr_1_2_0_mfr_5.50076E+15_6.35502E+15_6.15862E+15_fix_scale_0.1_sigma_10000000_proc.npy')\n", "\n", "bsm_1e45 = np.load('./chains/mcmc_DIM6_sfr_0_1_0_mfr_5.50076E+15_6.35502E+15_6.15862E+15_MixingScenario.T13_sigma_10000000_sc_1E-45_proc.npy')\n", "\n", "bsm_010 = np.load('./chains/mcmc_chains_DIM3_sfr_0_1_0_mfr_0_1_0_MixingScenario.T13_sigma_010.npy')\n", "bsm_100 = np.load('./chains/mcmc_chains_DIM3_sfr_1_0_0_mfr_1_0_0_MixingScenario.T23_sigma_010.npy')" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0.30464772 0.38851294 0.30683934]\n", " [0.30464772 0.38851294 0.30683934]\n", " [0.30464772 0.38851294 0.30683934]\n", " ...\n", " [0.16430342 0.42135965 0.41433693]\n", " [0.13771339 0.44716916 0.41511745]\n", " [0.13771339 0.44716916 0.41511745]]\n" ] } ], "source": [ "print bsm_1e45" ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(40000, 3) (40000, 3) (10000, 3)\n" ] } ], "source": [ "print sm_010.shape, sm_100.shape, sm_120.shape" ] }, { "cell_type": "code", "execution_count": 7, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[0.37553977 0.32469747 0.29976276]\n", " [0.35422184 0.32631003 0.31946813]\n", " [0.35422184 0.32631003 0.31946813]\n", " ...\n", " [0.3765814 0.33614714 0.28727146]\n", " [0.3765814 0.33614714 0.28727146]\n", " [0.3765814 0.33614714 0.28727146]]\n" ] } ], "source": [ "print sm_120" ] }, { "cell_type": "code", "execution_count": 8, "metadata": {}, "outputs": [ { "ename": "IOError", "evalue": "./frs/fr_DIM6_sfr_0_1_0_mfr_5.50076E+15_6.35502E+15_6.15862E+15_fix_scale_1e-45_sigma_10000000.txt not found.", "output_type": "error", "traceback": [ "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", "\u001b[0;31mIOError\u001b[0m Traceback (most recent call last)", "\u001b[0;32m\u001b[0m in \u001b[0;36m\u001b[0;34m()\u001b[0m\n\u001b[0;32m----> 1\u001b[0;31m \u001b[0mbsm_1e45_redone\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgenfromtxt\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'./frs/fr_DIM6_sfr_0_1_0_mfr_5.50076E+15_6.35502E+15_6.15862E+15_fix_scale_1e-45_sigma_10000000.txt'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 2\u001b[0m \u001b[0mbsm_1e42_redone\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgenfromtxt\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'./frs/fr_DIM6_sfr_0_1_0_mfr_5.50076E+15_6.35502E+15_6.15862E+15_fix_scale_1e-42_sigma_10000000.txt'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 3\u001b[0m \u001b[0mbsm_1e30_redone\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgenfromtxt\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'./frs/fr_DIM6_sfr_0_1_0_mfr_5.50076E+15_6.35502E+15_6.15862E+15_fix_scale_1e-30_sigma_10000000.txt'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 4\u001b[0m \u001b[0mbsm_010_t13_f\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mgenfromtxt\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'./frs/fr_DIM6_sfr_0_1_0_mfr_5.50076E+15_6.35502E+15_6.15862E+15_MixingScenario.T13_sigma_10000000.txt'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 5\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m/usr/local/anaconda2/lib/python2.7/site-packages/numpy/lib/npyio.pyc\u001b[0m in \u001b[0;36mgenfromtxt\u001b[0;34m(fname, dtype, comments, delimiter, skip_header, skip_footer, converters, missing_values, filling_values, usecols, names, excludelist, deletechars, replace_space, autostrip, case_sensitive, defaultfmt, unpack, usemask, loose, invalid_raise, max_rows, encoding)\u001b[0m\n\u001b[1;32m 1687\u001b[0m \u001b[0mfname\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mstr\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfname\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1688\u001b[0m \u001b[0;32mif\u001b[0m \u001b[0misinstance\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfname\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mbasestring\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1689\u001b[0;31m \u001b[0mfhd\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0miter\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mnp\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mlib\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_datasource\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mopen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfname\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m'rt'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mencoding\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mencoding\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 1690\u001b[0m \u001b[0mown_fhd\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mTrue\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 1691\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m/usr/local/anaconda2/lib/python2.7/site-packages/numpy/lib/_datasource.pyc\u001b[0m in \u001b[0;36mopen\u001b[0;34m(path, mode, destpath, encoding, newline)\u001b[0m\n\u001b[1;32m 258\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 259\u001b[0m \u001b[0mds\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mDataSource\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mdestpath\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 260\u001b[0;31m \u001b[0;32mreturn\u001b[0m \u001b[0mds\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mopen\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mpath\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mmode\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mencoding\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mencoding\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mnewline\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0mnewline\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 261\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 262\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;32m/usr/local/anaconda2/lib/python2.7/site-packages/numpy/lib/_datasource.pyc\u001b[0m in \u001b[0;36mopen\u001b[0;34m(self, path, mode, encoding, newline)\u001b[0m\n\u001b[1;32m 614\u001b[0m encoding=encoding, newline=newline)\n\u001b[1;32m 615\u001b[0m \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 616\u001b[0;31m \u001b[0;32mraise\u001b[0m \u001b[0mIOError\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m\"%s not found.\"\u001b[0m \u001b[0;34m%\u001b[0m \u001b[0mpath\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m 617\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m 618\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n", "\u001b[0;31mIOError\u001b[0m: ./frs/fr_DIM6_sfr_0_1_0_mfr_5.50076E+15_6.35502E+15_6.15862E+15_fix_scale_1e-45_sigma_10000000.txt not found." ] } ], "source": [ "bsm_1e45_redone = np.genfromtxt('./frs/fr_DIM6_sfr_0_1_0_mfr_5.50076E+15_6.35502E+15_6.15862E+15_fix_scale_1e-45_sigma_10000000.txt')\n", "bsm_1e42_redone = np.genfromtxt('./frs/fr_DIM6_sfr_0_1_0_mfr_5.50076E+15_6.35502E+15_6.15862E+15_fix_scale_1e-42_sigma_10000000.txt')\n", "bsm_1e30_redone = np.genfromtxt('./frs/fr_DIM6_sfr_0_1_0_mfr_5.50076E+15_6.35502E+15_6.15862E+15_fix_scale_1e-30_sigma_10000000.txt')\n", "bsm_010_t13_f = np.genfromtxt('./frs/fr_DIM6_sfr_0_1_0_mfr_5.50076E+15_6.35502E+15_6.15862E+15_MixingScenario.T13_sigma_10000000.txt')\n", "\n", "print bsm_1e45_redone.shape\n", "print bsm_1e42_redone.shape\n", "print bsm_1e30_redone.shape\n", "print bsm_010_t13_f[:,:-1].shape" ] }, { "cell_type": "code", "execution_count": 9, "metadata": {}, "outputs": [], "source": [ "import matplotlib as mpl\n", "import matplotlib.pyplot as plt\n", "from matplotlib.patches import Circle\n", "from matplotlib.legend_handler import HandlerPatch\n", "import matplotlib.gridspec as gridspec\n", "\n", "from scipy import interpolate\n", "\n", "import ternary" ] }, { "cell_type": "code", "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[[4.24138244e-03 3.06813681e-01 6.88944937e-01 2.34316066e-03\n", " 6.42617953e-01 3.55038887e-01 3.98424527e-03 2.38034475e-01\n", " 7.57981280e-01 1.85873303e-03 7.47360118e-01 2.50781149e-01]\n", " [1.02100395e-01 2.38679390e-01 6.59220214e-01 2.26570797e-01\n", " 4.93377801e-01 2.80051402e-01 1.09359466e-01 1.65212361e-01\n", " 7.25428173e-01 2.35934718e-01 6.08010059e-01 1.56055223e-01]\n", " [2.52239502e-01 1.42289922e-01 6.05470576e-01 4.15291021e-01\n", " 3.59870470e-01 2.24838509e-01 2.33469416e-01 8.91797869e-02\n", " 6.77350797e-01 4.52535945e-01 4.33980928e-01 1.13483126e-01]\n", " [3.68351571e-01 8.26973453e-02 5.48951083e-01 5.92164115e-01\n", " 1.97335547e-01 2.10500337e-01 3.26662769e-01 3.83846610e-02\n", " 6.34952570e-01 6.48292082e-01 2.61042953e-01 9.06649650e-02]\n", " [5.16972192e-01 1.91319942e-03 4.81114609e-01 7.41232430e-01\n", " 1.98363517e-03 2.56783935e-01 3.86792430e-01 8.82077324e-04\n", " 6.12325493e-01 9.06104571e-01 3.59369535e-03 9.03017336e-02]]\n" ] } ], "source": [ "bc = np.genfromtxt('./bayes_contours.csv', delimiter=',', skip_header=2)\n", "print bc\n", "\n", "def swap(x):\n", " y = x.T\n", " return np.vstack([y[1], y[-1], y[0]]).T\n", "\n", "def interp(i):\n", " x, y, z = i.T\n", " p = np.linspace(0, 1, len(x))\n", " q = np.linspace(0, 1, 100)\n", " s = 0.2\n", " x_ = interpolate.splev(q, interpolate.splrep(p, x, s=s))\n", " y_ = interpolate.splev(q, interpolate.splrep(p, y, s=s))\n", " z_ = interpolate.splev(q, interpolate.splrep(p, z, s=s))\n", " return np.vstack([x_, y_, z_]).T\n", "\n", "contour_68_upper = interp(swap(bc[:,:3]))\n", "contour_68_lower = interp(swap(bc[:,3:6]))\n", "contour_90_upper = interp(swap(bc[:,6:9]))\n", "contour_90_lower = interp(swap(bc[:,9:]))" ] }, { "cell_type": "code", "execution_count": 11, "metadata": {}, "outputs": [], "source": [ "plt.style.use('./paper.mplstyle')" ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "class HandlerCircle(HandlerPatch):\n", " def create_artists(self, legend, orig_handle,\n", " xdescent, ydescent, width, height,\n", " fontsize, trans):\n", " r = 10\n", " x = r + width//2 + 10\n", " y = height//2 - 3\n", "\n", " # create \n", " p = Circle(xy=(x, y), radius=r)\n", "\n", " # update with data from oryginal object\n", " self.update_prop(p, orig_handle, legend)\n", "\n", " # move xy to legend\n", " p.set_transform(trans)\n", "\n", " return [p]" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Figure\n", "fig = plt.figure(figsize=(12, 12))\n", "ax = fig.add_subplot(111)\n", "ax.set_aspect('equal')\n", "\n", "# Boundary and Gridlines\n", "scale = 1\n", "fig, tax = ternary.figure(ax=ax, scale=scale)\n", "\n", "# Draw Boundary and Gridlines\n", "tax.boundary(linewidth=2.0)\n", "tax.gridlines(color='grey', multiple=scale/5., linewidth=1.0, alpha=0.4, ls='--')\n", "tax.gridlines(color='grey', multiple=scale/10., linewidth=0.5, alpha=0.4, ls=':')\n", "\n", "# Set Axis labels and Title\n", "fontsize = 23\n", "tax.left_axis_label(r\"$f_{\\tau}^{\\oplus}$\", fontsize=fontsize+8, offset=0.2, rotation=0)\n", "tax.right_axis_label(r\"$f_{\\mu}^{\\oplus}$\", fontsize=fontsize+8, offset=0.2, rotation=0)\n", "tax.bottom_axis_label(r\"$f_{e}^{\\oplus}$\", fontsize=fontsize+8, position=(0.55, -0.20/2, 0.5), rotation=0)\n", "\n", "# Remove default Matplotlib axis\n", "tax.get_axes().axis('off')\n", "tax.clear_matplotlib_ticks()\n", "\n", "# Plot\n", "tax.scatter(sm_010, marker='.', s=0.2, alpha=0.2, color='red')\n", "#tax.scatter(sm_100, marker='.', s=0.2, alpha=0.2, color='green')\n", "#tax.scatter(sm_120_uni, marker='.', s=0.2, alpha=0.2, color='blue')\n", "#tax.scatter(bsm_010, marker='.', s=0.2, alpha=0.2, color='red')\n", "#tax.scatter(bsm_100, marker='.', s=0.2, alpha=0.2, color='green')\n", "\n", "#tax.scatter(bsm_1e45, marker='.', s=10, alpha=0.4, color='purple')\n", "#tax.scatter(bsm_1e42_redone, marker='.', s=2, alpha=0.4, color='blue')\n", "tax.scatter(bsm_010_t13_f[:,:-1], marker='.', s=2, alpha=0.4, color='blue')\n", "\n", "# Contour\n", "tax.plot(contour_68_upper, linewidth=2.3, color='grey', zorder=0, alpha=0.6)\n", "tax.plot(contour_68_lower, linewidth=2.3, color='grey', zorder=0, alpha=0.6)\n", "tax.plot(contour_90_upper, linewidth=2.3, color='darkgrey', zorder=0, alpha=0.6)\n", "tax.plot(contour_90_lower, linewidth=2.3, color='darkgrey', zorder=0, alpha=0.6)\n", "\n", "# Lines\n", "marker_style = dict(\n", " linestyle=' ', color='darkorange', linewidth=1.2,\n", " markersize=14, zorder=0\n", ")\n", "\n", "p1 = (0.18301213, 0.43765598, 0.37933189)\n", "p2 = (0, 1, 0)\n", "divisions = 46\n", "x_d = np.linspace(p1[0], p2[0], divisions+1)\n", "y_d = np.linspace(p1[1], p2[1], divisions+1)\n", "z_d = np.linspace(p1[2], p2[2], divisions+1)\n", "for n in xrange(divisions-2):\n", " p = (x_d[n], y_d[n], z_d[n])\n", " q = (x_d[n+1], y_d[n+1], z_d[n+1])\n", " tax.line(p, q, marker=(3, 2, 180+46.5), **marker_style)\n", "\n", "p1 = (0.55003613, 0.18301213, 0.26695174)\n", "p2 = (1, 0, 0)\n", "divisions = 35\n", "x_d = np.linspace(p1[0], p2[0], divisions+1)\n", "y_d = np.linspace(p1[1], p2[1], divisions+1)\n", "z_d = np.linspace(p1[2], p2[2], divisions+1)\n", "for n in xrange(divisions-2):\n", " p = (x_d[n], y_d[n], z_d[n])\n", " q = (x_d[n+1], y_d[n+1], z_d[n+1])\n", " tax.line(p, q, marker=(3, 2, 180+63), **marker_style)\n", "\n", "# Text\n", "ax.text(0.36, 0.53, r'$\\mathcal{O}_{e\\tau}$', fontsize=fontsize,\n", " rotation=0, verticalalignment='center')\n", "ax.text(0.445, 0.54, r'$\\Lambda_d\\Longrightarrow$', fontsize=fontsize+5,\n", " rotation=80, verticalalignment='center')\n", "ax.text(0.68, 0.09, r'$\\mathcal{O}_{\\mu\\tau}$', fontsize=fontsize,\n", " rotation=0, verticalalignment='center')\n", "ax.text(0.7, 0.14, r'$\\Lambda_d\\Longrightarrow$', fontsize=fontsize+5,\n", " rotation=-23, verticalalignment='center')\n", "ax.text(0.34, 0.2, r'$68\\%$', fontsize=fontsize, rotation=5)\n", "ax.text(0.34, 0.1, r'$90\\%$', fontsize=fontsize, rotation=5)\n", "\n", "# Legend\n", "l_size = fontsize\n", "legend_elements = []\n", "legend_elements.append(\n", " Circle((0., 0.), 0.1, facecolor='green', alpha=0.7, edgecolor='k',\n", " linewidth=2., label=r'$\\left (1:0:0\\right )$')\n", ")\n", "legend_elements.append(\n", " Circle((0., 0.), 0.1, facecolor='red', alpha=0.7, edgecolor='k',\n", " linewidth=2., label=r'$\\left (0:1:0\\right )$')\n", ")\n", "legend = plt.legend(handles=legend_elements, loc=(0.65, 0.8),\n", " title='Source composition',\n", " fontsize=l_size,\n", " handler_map={Circle: HandlerCircle()})\n", "plt.setp(legend.get_title(), fontsize=l_size)\n", "legend.get_frame().set_linestyle('-')\n", "\n", "# Set ticks\n", "tax.ticks(axis='blr', multiple=scale/5., linewidth=1, offset=0.03,\n", " fontsize=fontsize, tick_formats='%.1f')\n", "\n", "tax._redraw_labels()\n", "\n", "# save\n", "fig.savefig('./plots/fr_recolour.png', bbox_inches='tight', dpi=150)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": {}, "outputs": [], "source": [ "import sys\n", "sys.path.extend(['.', '..'])" ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "from utils import fr as fr_utils\n", "from utils import misc as misc_utils\n", "from utils.enums import MixingScenario" ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[1, 0, 0] -> [0.55003613 0.18301213 0.26695174]\n", "[0, 1, 0] -> [0.18301213 0.43765598 0.37933189]\n", "[1, 2, 0] -> [0.30535346 0.3527747 0.34187184]\n" ] } ], "source": [ "s = [1, 0, 0]\n", "print s, '->', fr_utils.u_to_fr(s, np.array(fr_utils.NUFIT_U, dtype=np.complex128))\n", "s = [0, 1, 0]\n", "print s, '->', fr_utils.u_to_fr(s, np.array(fr_utils.NUFIT_U, dtype=np.complex128))\n", "s = [1, 2, 0]\n", "print s, '->', fr_utils.u_to_fr(s, np.array(fr_utils.NUFIT_U, dtype=np.complex128))" ] }, { "cell_type": "code", "execution_count": 31, "metadata": {}, "outputs": [], "source": [ "sc = np.linspace(-47, -42, 400)\n", "energy = 1e6\n", "\n", "s = [1, 0, 0]\n", "frs_100 = []\n", "for x in sc:\n", " u = fr_utils.params_to_BSMu(x, fix_mixing=MixingScenario.T23, dim=6, energy=energy)\n", " frs_100.append(fr_utils.u_to_fr(s, np.array(u, dtype=np.complex128)))\n", "frs_100 = np.vstack(frs_100)\n", " \n", "s = [0, 1, 0]\n", "frs_010 = []\n", "for x in sc:\n", " u = fr_utils.params_to_BSMu(x, fix_mixing=MixingScenario.T13, dim=6, energy=energy)\n", " frs_010.append(fr_utils.u_to_fr(s, np.array(u, dtype=np.complex128)))\n", "frs_010 = np.vstack(frs_010)\n", "\n", "s = [1, 2, 0]\n", "frs_120 = []\n", "for x in sc:\n", " u = fr_utils.params_to_BSMu(x, fix_mixing=MixingScenario.T12, dim=6, energy=energy)\n", " frs_120.append(fr_utils.u_to_fr(s, np.array(u, dtype=np.complex128)))\n", "frs_120 = np.vstack(frs_120)" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[0.18301213 0.43765598 0.37933189]\n" ] } ], "source": [ "u = fr_utils.params_to_BSMu(-60, fix_mixing=MixingScenario.T13, dim=6, energy=energy)\n", "print fr_utils.u_to_fr([0, 1, 0], np.array(u, dtype=np.complex128))" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Figure\n", "fig = plt.figure(figsize=(12, 12))\n", "ax = fig.add_subplot(111)\n", "ax.set_aspect('equal')\n", "\n", "# Boundary and Gridlines\n", "scale = 1\n", "fig, tax = ternary.figure(ax=ax, scale=scale)\n", "\n", "# Draw Boundary and Gridlines\n", "tax.boundary(linewidth=2.0)\n", "tax.gridlines(color='grey', multiple=scale/5., linewidth=1.0, alpha=0.4, ls='--')\n", "tax.gridlines(color='grey', multiple=scale/10., linewidth=0.5, alpha=0.4, ls=':')\n", "\n", "# Set Axis labels and Title\n", "fontsize = 23\n", "tax.left_axis_label(r\"$f_{\\tau}^{\\oplus}$\", fontsize=fontsize+8, offset=0.2, rotation=0)\n", "tax.right_axis_label(r\"$f_{\\mu}^{\\oplus}$\", fontsize=fontsize+8, offset=0.2, rotation=0)\n", "tax.bottom_axis_label(r\"$f_{e}^{\\oplus}$\", fontsize=fontsize+8, position=(0.55, -0.20/2, 0.5), rotation=0)\n", "\n", "# Remove default Matplotlib axis\n", "tax.get_axes().axis('off')\n", "tax.clear_matplotlib_ticks()\n", "\n", "# Plot\n", "tax.scatter(frs_010, marker='o', s=2, alpha=1, color='green')\n", "tax.scatter(frs_100, marker='o', s=2, alpha=1, color='blue')\n", "tax.scatter(frs_120, marker='o', s=2, alpha=1, color='red')\n", "\n", "# Legend\n", "l_size = fontsize\n", "legend_elements = []\n", "legend_elements.append(\n", " Circle((0., 0.), 0.1, facecolor='red', alpha=0.7, edgecolor='k',\n", " linewidth=2., label=r'$\\left (1:2:0\\right )$')\n", ")\n", "legend_elements.append(\n", " Circle((0., 0.), 0.1, facecolor='green', alpha=0.7, edgecolor='k',\n", " linewidth=2., label=r'$\\left (0:1:0\\right )$')\n", ")\n", "legend_elements.append(\n", " Circle((0., 0.), 0.1, facecolor='blue', alpha=0.7, edgecolor='k',\n", " linewidth=2., label=r'$\\left (1:0:0\\right )$')\n", ")\n", "legend = plt.legend(handles=legend_elements, loc=(0.65, 0.8),\n", " title='Source composition',\n", " fontsize=l_size,\n", " handler_map={Circle: HandlerCircle()})\n", "plt.setp(legend.get_title(), fontsize=l_size)\n", "legend.get_frame().set_linestyle('-')\n", "\n", "# Set ticks\n", "tax.ticks(axis='blr', multiple=scale/5., linewidth=1, offset=0.03,\n", " fontsize=fontsize, tick_formats='%.1f')\n", "\n", "tax._redraw_labels()" ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "scen = MixingScenario.T12\n", "\n", "s = [1, 0, 0]\n", "frs_100_T12 = []\n", "for x in sc:\n", " u = fr_utils.params_to_BSMu(x, fix_mixing=scen, dim=6, energy=energy)\n", " frs_100_T12.append(fr_utils.u_to_fr(s, np.array(u, dtype=np.complex128)))\n", "frs_100_T12 = np.vstack(frs_100_T12)\n", " \n", "s = [0, 1, 0]\n", "frs_010_T12 = []\n", "for x in sc:\n", " u = fr_utils.params_to_BSMu(x, fix_mixing=scen, dim=6, energy=energy)\n", " frs_010_T12.append(fr_utils.u_to_fr(s, np.array(u, dtype=np.complex128)))\n", "frs_010_T12 = np.vstack(frs_010_T12)\n", "\n", "s = [1, 2, 0]\n", "frs_120_T12 = []\n", "for x in sc:\n", " u = fr_utils.params_to_BSMu(x, fix_mixing=scen, dim=6, energy=energy)\n", " frs_120_T12.append(fr_utils.u_to_fr(s, np.array(u, dtype=np.complex128)))\n", "frs_120_T12 = np.vstack(frs_120_T12)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Figure\n", "fig = plt.figure(figsize=(12, 12))\n", "ax = fig.add_subplot(111)\n", "ax.set_aspect('equal')\n", "\n", "# Boundary and Gridlines\n", "scale = 1\n", "fig, tax = ternary.figure(ax=ax, scale=scale)\n", "\n", "# Draw Boundary and Gridlines\n", "tax.boundary(linewidth=2.0)\n", "tax.gridlines(color='grey', multiple=scale/5., linewidth=1.0, alpha=0.4, ls='--')\n", "tax.gridlines(color='grey', multiple=scale/10., linewidth=0.5, alpha=0.4, ls=':')\n", "\n", "# Set Axis labels and Title\n", "fontsize = 23\n", "tax.set_title(r'$\\mathcal{O}_{e\\mu}\\:operator$', fontsize=fontsize+10, pad=35)\n", "tax.left_axis_label(r\"$f_{\\tau}^{\\oplus}$\", fontsize=fontsize+8, offset=0.2, rotation=0)\n", "tax.right_axis_label(r\"$f_{\\mu}^{\\oplus}$\", fontsize=fontsize+8, offset=0.2, rotation=0)\n", "tax.bottom_axis_label(r\"$f_{e}^{\\oplus}$\", fontsize=fontsize+8, position=(0.55, -0.20/2, 0.5), rotation=0)\n", "\n", "# Remove default Matplotlib axis\n", "tax.get_axes().axis('off')\n", "tax.clear_matplotlib_ticks()\n", "\n", "# Plot\n", "tax.scatter(frs_010_T12, marker='o', s=2, alpha=1, color='green')\n", "tax.scatter(frs_100_T12, marker='o', s=2, alpha=1, color='blue')\n", "tax.scatter(frs_120_T12, marker='o', s=2, alpha=1, color='red')\n", "\n", "# Legend\n", "l_size = fontsize\n", "legend_elements = []\n", "legend_elements.append(\n", " Circle((0., 0.), 0.1, facecolor='red', alpha=0.7, edgecolor='k',\n", " linewidth=2., label=r'$\\left (1:2:0\\right )$')\n", ")\n", "legend_elements.append(\n", " Circle((0., 0.), 0.1, facecolor='green', alpha=0.7, edgecolor='k',\n", " linewidth=2., label=r'$\\left (0:1:0\\right )$')\n", ")\n", "legend_elements.append(\n", " Circle((0., 0.), 0.1, facecolor='blue', alpha=0.7, edgecolor='k',\n", " linewidth=2., label=r'$\\left (1:0:0\\right )$')\n", ")\n", "legend = plt.legend(handles=legend_elements, loc=(0.65, 0.8),\n", " title='Source composition',\n", " fontsize=l_size,\n", " handler_map={Circle: HandlerCircle()})\n", "plt.setp(legend.get_title(), fontsize=l_size)\n", "legend.get_frame().set_linestyle('-')\n", "\n", "# Set ticks\n", "tax.ticks(axis='blr', multiple=scale/5., linewidth=1, offset=0.03,\n", " fontsize=fontsize, tick_formats='%.1f')\n", "\n", "tax._redraw_labels()" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [], "source": [ "scen = MixingScenario.T23\n", "\n", "s = [1, 0, 0]\n", "frs_100_T23 = []\n", "for x in sc:\n", " u = fr_utils.params_to_BSMu(x, fix_mixing=scen, dim=6, energy=energy)\n", " frs_100_T23.append(fr_utils.u_to_fr(s, np.array(u, dtype=np.complex128)))\n", "frs_100_T23 = np.vstack(frs_100_T23)\n", " \n", "s = [0, 1, 0]\n", "frs_010_T23 = []\n", "for x in sc:\n", " u = fr_utils.params_to_BSMu(x, fix_mixing=scen, dim=6, energy=energy)\n", " frs_010_T23.append(fr_utils.u_to_fr(s, np.array(u, dtype=np.complex128)))\n", "frs_010_T23 = np.vstack(frs_010_T23)\n", "\n", "s = [1, 2, 0]\n", "frs_120_T23 = []\n", "for x in sc:\n", " u = fr_utils.params_to_BSMu(x, fix_mixing=scen, dim=6, energy=energy)\n", " frs_120_T23.append(fr_utils.u_to_fr(s, np.array(u, dtype=np.complex128)))\n", "frs_120_T23 = np.vstack(frs_120_T23)" ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Figure\n", "fig = plt.figure(figsize=(12, 12))\n", "ax = fig.add_subplot(111)\n", "ax.set_aspect('equal')\n", "\n", "# Boundary and Gridlines\n", "scale = 1\n", "fig, tax = ternary.figure(ax=ax, scale=scale)\n", "\n", "# Draw Boundary and Gridlines\n", "tax.boundary(linewidth=2.0)\n", "tax.gridlines(color='grey', multiple=scale/5., linewidth=1.0, alpha=0.4, ls='--')\n", "tax.gridlines(color='grey', multiple=scale/10., linewidth=0.5, alpha=0.4, ls=':')\n", "\n", "# Set Axis labels and Title\n", "fontsize = 23\n", "tax.set_title(r'$\\mathcal{O}_{\\mu\\tau}\\:operator$', fontsize=fontsize+10, pad=35)\n", "tax.left_axis_label(r\"$f_{\\tau}^{\\oplus}$\", fontsize=fontsize+8, offset=0.2, rotation=0)\n", "tax.right_axis_label(r\"$f_{\\mu}^{\\oplus}$\", fontsize=fontsize+8, offset=0.2, rotation=0)\n", "tax.bottom_axis_label(r\"$f_{e}^{\\oplus}$\", fontsize=fontsize+8, position=(0.55, -0.20/2, 0.5), rotation=0)\n", "\n", "# Remove default Matplotlib axis\n", "tax.get_axes().axis('off')\n", "tax.clear_matplotlib_ticks()\n", "\n", "# Plot\n", "tax.scatter(frs_010_T23, marker='o', s=2, alpha=1, color='green')\n", "tax.scatter(frs_100_T23, marker='o', s=2, alpha=1, color='blue')\n", "tax.scatter(frs_120_T23, marker='o', s=2, alpha=1, color='red')\n", "\n", "# Legend\n", "l_size = fontsize\n", "legend_elements = []\n", "legend_elements.append(\n", " Circle((0., 0.), 0.1, facecolor='red', alpha=0.7, edgecolor='k',\n", " linewidth=2., label=r'$\\left (1:2:0\\right )$')\n", ")\n", "legend_elements.append(\n", " Circle((0., 0.), 0.1, facecolor='green', alpha=0.7, edgecolor='k',\n", " linewidth=2., label=r'$\\left (0:1:0\\right )$')\n", ")\n", "legend_elements.append(\n", " Circle((0., 0.), 0.1, facecolor='blue', alpha=0.7, edgecolor='k',\n", " linewidth=2., label=r'$\\left (1:0:0\\right )$')\n", ")\n", "legend = plt.legend(handles=legend_elements, loc=(0.65, 0.8),\n", " title='Source composition',\n", " fontsize=l_size,\n", " handler_map={Circle: HandlerCircle()})\n", "plt.setp(legend.get_title(), fontsize=l_size)\n", "legend.get_frame().set_linestyle('-')\n", "\n", "# Set ticks\n", "tax.ticks(axis='blr', multiple=scale/5., linewidth=1, offset=0.03,\n", " fontsize=fontsize, tick_formats='%.1f')\n", "\n", "tax._redraw_labels()" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "scen = MixingScenario.T13\n", "\n", "s = [1, 0, 0]\n", "frs_100_T13 = []\n", "for x in sc:\n", " u = fr_utils.params_to_BSMu(x, fix_mixing=scen, dim=6, energy=energy)\n", " frs_100_T13.append(fr_utils.u_to_fr(s, np.array(u, dtype=np.complex128)))\n", "frs_100_T13 = np.vstack(frs_100_T13)\n", " \n", "s = [0, 1, 0]\n", "frs_010_T13 = []\n", "for x in sc:\n", " u = fr_utils.params_to_BSMu(x, fix_mixing=scen, dim=6, energy=energy)\n", " frs_010_T13.append(fr_utils.u_to_fr(s, np.array(u, dtype=np.complex128)))\n", "frs_010_T13 = np.vstack(frs_010_T13)\n", "\n", "s = [1, 2, 0]\n", "frs_120_T13 = []\n", "for x in sc:\n", " u = fr_utils.params_to_BSMu(x, fix_mixing=scen, dim=6, energy=energy)\n", " frs_120_T13.append(fr_utils.u_to_fr(s, np.array(u, dtype=np.complex128)))\n", "frs_120_T13 = np.vstack(frs_120_T13)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Figure\n", "fig = plt.figure(figsize=(12, 12))\n", "ax = fig.add_subplot(111)\n", "ax.set_aspect('equal')\n", "\n", "# Boundary and Gridlines\n", "scale = 1\n", "fig, tax = ternary.figure(ax=ax, scale=scale)\n", "\n", "# Draw Boundary and Gridlines\n", "tax.boundary(linewidth=2.0)\n", "tax.gridlines(color='grey', multiple=scale/5., linewidth=1.0, alpha=0.4, ls='--')\n", "tax.gridlines(color='grey', multiple=scale/10., linewidth=0.5, alpha=0.4, ls=':')\n", "\n", "# Set Axis labels and Title\n", "fontsize = 23\n", "tax.set_title(r'$\\mathcal{O}_{e\\tau}\\:operator$', fontsize=fontsize+10, pad=35)\n", "tax.left_axis_label(r\"$f_{\\tau}^{\\oplus}$\", fontsize=fontsize+8, offset=0.2, rotation=0)\n", "tax.right_axis_label(r\"$f_{\\mu}^{\\oplus}$\", fontsize=fontsize+8, offset=0.2, rotation=0)\n", "tax.bottom_axis_label(r\"$f_{e}^{\\oplus}$\", fontsize=fontsize+8, position=(0.55, -0.20/2, 0.5), rotation=0)\n", "\n", "# Remove default Matplotlib axis\n", "tax.get_axes().axis('off')\n", "tax.clear_matplotlib_ticks()\n", "\n", "# Plot\n", "tax.scatter(frs_010_T13, marker='o', s=2, alpha=1, color='green')\n", "tax.scatter(frs_100_T13, marker='o', s=2, alpha=1, color='blue')\n", "tax.scatter(frs_120_T13, marker='o', s=2, alpha=1, color='red')\n", "\n", "# Legend\n", "l_size = fontsize\n", "legend_elements = []\n", "legend_elements.append(\n", " Circle((0., 0.), 0.1, facecolor='red', alpha=0.7, edgecolor='k',\n", " linewidth=2., label=r'$\\left (1:2:0\\right )$')\n", ")\n", "legend_elements.append(\n", " Circle((0., 0.), 0.1, facecolor='green', alpha=0.7, edgecolor='k',\n", " linewidth=2., label=r'$\\left (0:1:0\\right )$')\n", ")\n", "legend_elements.append(\n", " Circle((0., 0.), 0.1, facecolor='blue', alpha=0.7, edgecolor='k',\n", " linewidth=2., label=r'$\\left (1:0:0\\right )$')\n", ")\n", "legend = plt.legend(handles=legend_elements, loc=(0.65, 0.8),\n", " title='Source composition',\n", " fontsize=l_size,\n", " handler_map={Circle: HandlerCircle()})\n", "plt.setp(legend.get_title(), fontsize=l_size)\n", "legend.get_frame().set_linestyle('-')\n", "\n", "# Set ticks\n", "tax.ticks(axis='blr', multiple=scale/5., linewidth=1, offset=0.03,\n", " fontsize=fontsize, tick_formats='%.1f')\n", "\n", "tax._redraw_labels()" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Figure\n", "fig = plt.figure(figsize=(12, 12))\n", "ax = fig.add_subplot(111)\n", "ax.set_aspect('equal')\n", "\n", "# Boundary and Gridlines\n", "scale = 1\n", "fig, tax = ternary.figure(ax=ax, scale=scale)\n", "\n", "# Draw Boundary and Gridlines\n", "tax.boundary(linewidth=2.0)\n", "tax.gridlines(color='grey', multiple=scale/5., linewidth=1.0, alpha=0.4, ls='--')\n", "tax.gridlines(color='grey', multiple=scale/10., linewidth=0.5, alpha=0.4, ls=':')\n", "\n", "# Set Axis labels and Title\n", "fontsize = 23\n", "tax.left_axis_label(r\"$f_{\\tau}^{\\oplus}$\", fontsize=fontsize+8, offset=0.2, rotation=0)\n", "tax.right_axis_label(r\"$f_{\\mu}^{\\oplus}$\", fontsize=fontsize+8, offset=0.2, rotation=0)\n", "tax.bottom_axis_label(r\"$f_{e}^{\\oplus}$\", fontsize=fontsize+8, position=(0.55, -0.20/2, 0.5), rotation=0)\n", "\n", "# Remove default Matplotlib axis\n", "tax.get_axes().axis('off')\n", "tax.clear_matplotlib_ticks()\n", "\n", "# Plot\n", "tax.scatter(sm_010, marker='.', s=0.2, alpha=0.2, color='green')\n", "tax.scatter(sm_100, marker='.', s=0.2, alpha=0.2, color='blue')\n", "tax.scatter(sm_120, marker='.', s=0.2, alpha=0.2, color='red')\n", "tax.scatter([[0.5, 0.5, 0]], marker='*', s=1000, alpha=1.0, color='red', zorder=100)\n", "tax.scatter([[0, 1, 0]], marker='*', s=1000, alpha=1.0, color='green', zorder=100)\n", "tax.scatter([[1, 0, 0]], marker='*', s=1000, alpha=1.0, color='blue', zorder=100)\n", "\n", "# Contour\n", "tax.plot(contour_68_upper, linewidth=2.3, color='grey', zorder=0, alpha=0.6)\n", "tax.plot(contour_68_lower, linewidth=2.3, color='grey', zorder=0, alpha=0.6)\n", "tax.plot(contour_90_upper, linewidth=2.3, color='darkgrey', zorder=0, alpha=0.6)\n", "tax.plot(contour_90_lower, linewidth=2.3, color='darkgrey', zorder=0, alpha=0.6)\n", "\n", "# Lines\n", "marker_style = dict(\n", " linestyle=' ', color='darkorange', linewidth=1.2,\n", " markersize=14, zorder=0\n", ")\n", "\n", "p1 = (0.18301213, 0.43765598, 0.37933189)\n", "p2 = (0, 1, 0)\n", "divisions = 46\n", "x_d = np.linspace(p1[0], p2[0], divisions+1)\n", "y_d = np.linspace(p1[1], p2[1], divisions+1)\n", "z_d = np.linspace(p1[2], p2[2], divisions+1)\n", "for n in xrange(divisions-2):\n", " p = (x_d[n], y_d[n], z_d[n])\n", " q = (x_d[n+1], y_d[n+1], z_d[n+1])\n", " tax.line(p, q, marker=(3, 2, 180+46.5), **marker_style)\n", "\n", "p1 = (0.55003613, 0.18301213, 0.26695174)\n", "p2 = (1, 0, 0)\n", "divisions = 35\n", "x_d = np.linspace(p1[0], p2[0], divisions+1)\n", "y_d = np.linspace(p1[1], p2[1], divisions+1)\n", "z_d = np.linspace(p1[2], p2[2], divisions+1)\n", "for n in xrange(divisions-2):\n", " p = (x_d[n], y_d[n], z_d[n])\n", " q = (x_d[n+1], y_d[n+1], z_d[n+1])\n", " tax.line(p, q, marker=(3, 2, 180+63), **marker_style)\n", " \n", "p1 = (0.30535346, 0.3527747, 0.34187184)\n", "p2 = (0.5, 0.5, 0)\n", "divisions = 29\n", "x_d = np.linspace(p1[0], p2[0], divisions+1)\n", "y_d = np.linspace(p1[1], p2[1], divisions+1)\n", "z_d = np.linspace(p1[2], p2[2], divisions+1)\n", "for n in xrange(divisions-2):\n", " p = (x_d[n], y_d[n], z_d[n])\n", " q = (x_d[n+1], y_d[n+1], z_d[n+1])\n", " tax.line(p, q, marker=(3, 2, 180), **marker_style)\n", "\n", "# Text\n", "ax.text(0.55, 0.39, r'$\\mathcal{O}_{e\\mu}$', fontsize=fontsize,\n", " rotation=0, verticalalignment='center')\n", "ax.text(0.58, 0.33, r'$\\Lambda_d\\Longrightarrow$', fontsize=fontsize+5,\n", " rotation=23, verticalalignment='center')\n", "ax.text(0.36, 0.53, r'$\\mathcal{O}_{e\\tau}$', fontsize=fontsize,\n", " rotation=0, verticalalignment='center')\n", "ax.text(0.445, 0.54, r'$\\Lambda_d\\Longrightarrow$', fontsize=fontsize+5,\n", " rotation=80, verticalalignment='center')\n", "ax.text(0.68, 0.09, r'$\\mathcal{O}_{\\mu\\tau}$', fontsize=fontsize,\n", " rotation=0, verticalalignment='center')\n", "ax.text(0.7, 0.14, r'$\\Lambda_d\\Longrightarrow$', fontsize=fontsize+5,\n", " rotation=-23, verticalalignment='center')\n", "ax.text(0.34, 0.2, r'$68\\%$', fontsize=fontsize, rotation=5)\n", "ax.text(0.34, 0.1, r'$90\\%$', fontsize=fontsize, rotation=5)\n", "\n", "# Legend\n", "l_size = fontsize\n", "legend_elements = []\n", "legend_elements.append(\n", " Circle((0., 0.), 0.1, facecolor='red', alpha=0.7, edgecolor='k',\n", " linewidth=2., label=r'$\\left (1:2:0\\right )$')\n", ")\n", "legend_elements.append(\n", " Circle((0., 0.), 0.1, facecolor='green', alpha=0.7, edgecolor='k',\n", " linewidth=2., label=r'$\\left (0:1:0\\right )$')\n", ")\n", "legend_elements.append(\n", " Circle((0., 0.), 0.1, facecolor='blue', alpha=0.7, edgecolor='k',\n", " linewidth=2., label=r'$\\left (1:0:0\\right )$')\n", ")\n", "legend = plt.legend(handles=legend_elements, loc=(0.65, 0.8),\n", " title='Source composition',\n", " fontsize=l_size,\n", " handler_map={Circle: HandlerCircle()})\n", "plt.setp(legend.get_title(), fontsize=l_size)\n", "legend.get_frame().set_linestyle('-')\n", "\n", "# Set ticks\n", "tax.ticks(axis='blr', multiple=scale/5., linewidth=1, offset=0.03,\n", " fontsize=fontsize, tick_formats='%.1f')\n", "\n", "tax._redraw_labels()\n", "\n", "# save\n", "fig.savefig('./plots/fr_star.png', bbox_inches='tight', dpi=150)" ] }, { "cell_type": "code", "execution_count": null, "metadata": {}, "outputs": [], "source": [ "# Figure\n", "fig = plt.figure(figsize=(12, 12))\n", "gs = gridspec.GridSpec(1, 2, width_ratios=[40, 1])\n", "gs.update(hspace=0.4, wspace=0.15)\n", "\n", "ax = fig.add_subplot(gs[0])\n", "ax.set_aspect('equal')\n", "\n", "norm = mpl.colors.Normalize(vmin=np.min(sc), vmax=np.max(sc))\n", "\n", "# Boundary and Gridlines\n", "scale = 1\n", "fig, tax = ternary.figure(ax=ax, scale=scale)\n", "\n", "# Draw Boundary and Gridlines\n", "tax.boundary(linewidth=2.0)\n", "tax.gridlines(color='grey', multiple=scale/5., linewidth=1.0, alpha=0.4, ls='--')\n", "tax.gridlines(color='grey', multiple=scale/10., linewidth=0.5, alpha=0.4, ls=':')\n", "\n", "# Set Axis labels and Title\n", "fontsize = 23\n", "tax.left_axis_label(r\"$f_{\\tau}^{\\oplus}$\", fontsize=fontsize+8, offset=0.2, rotation=0)\n", "tax.right_axis_label(r\"$f_{\\mu}^{\\oplus}$\", fontsize=fontsize+8, offset=0.2, rotation=0)\n", "tax.bottom_axis_label(r\"$f_{e}^{\\oplus}$\", fontsize=fontsize+8, position=(0.55, -0.20/2, 0.5), rotation=0)\n", "\n", "# Remove default Matplotlib axis\n", "tax.get_axes().axis('off')\n", "tax.clear_matplotlib_ticks()\n", "\n", "# Plot\n", "tax.scatter(sm_010, marker='.', s=0.8, alpha=0.2, color='green', zorder=90)\n", "tax.scatter(sm_100, marker='.', s=0.8, alpha=0.2, color='blue', zorder=90)\n", "tax.scatter(sm_120_uni, marker='.', s=0.8, alpha=0.2, color='red')\n", "tax.scatter([[0, 1, 0]], marker='*', s=1000, alpha=1.0, color='green', zorder=100)\n", "tax.scatter([[1, 0, 0]], marker='*', s=1000, alpha=1.0, color='blue', zorder=100)\n", "\n", "# Contour\n", "tax.plot(contour_68_upper, linewidth=2.3, color='grey', zorder=0, alpha=0.6)\n", "tax.plot(contour_68_lower, linewidth=2.3, color='grey', zorder=0, alpha=0.6)\n", "tax.plot(contour_90_upper, linewidth=2.3, color='darkgrey', zorder=0, alpha=0.6)\n", "tax.plot(contour_90_lower, linewidth=2.3, color='darkgrey', zorder=0, alpha=0.6)\n", "\n", "# Lines\n", "marker_style = dict(\n", " linestyle=' ', color='darkorange', linewidth=1.2,\n", " markersize=14, zorder=0\n", ")\n", "\n", "# Trajectories\n", "def alp(x):\n", " y = list(x)\n", " y[-1] = 0.2\n", " return y\n", "\n", "#cmap = mpl.cm.hsv\n", "cmap_b = mpl.colors.LinearSegmentedColormap.from_list(\"\", [\"black\", \"aqua\", \"blue\"])\n", "cmap_g = mpl.colors.LinearSegmentedColormap.from_list(\"\", [\"black\", \"lime\", \"green\"])\n", "#cmap_b = mpl.colors.LinearSegmentedColormap.from_list(\"\", [\"black\", \"aqua\", \"c\", \"blue\", \"darkblue\"])\n", "#cmap_g = mpl.colors.LinearSegmentedColormap.from_list(\"\", [\"black\", \"springgreen\", \"lime\", \"green\", \"darkgreen\"])\n", "#cmap_r = mpl.colors.LinearSegmentedColormap.from_list(\"\", [\"black\", \"lightsalmon\", \"red\"])\n", "c_g = map(alp, map(cmap_g, map(norm, sc)))\n", "tax.scatter(frs_010_T13, marker='o', s=10, color=c_g)\n", "c_b= map(alp, map(cmap_b, map(norm, sc)))\n", "tax.scatter(frs_100_T23, marker='o', s=10, color=c_b)\n", "#c_r= map(alp, map(cmap_r, map(norm, sc)))\n", "#tax.scatter(frs_120_T12, marker='o', s=10, color=c_r)\n", "\n", "# Text\n", "#ax.text(0.63, 0.46, r'$\\mathcal{O}_{e\\mu}$', fontsize=fontsize,\n", "# rotation=0, verticalalignment='center')\n", "ax.text(0.437, 0.66, r'$\\mathcal{O}_{e\\tau}$', fontsize=fontsize,\n", " rotation=0, verticalalignment='center')\n", "ax.text(0.72, 0.09, r'$\\mathcal{O}_{\\mu\\tau}$', fontsize=fontsize,\n", " rotation=0, verticalalignment='center')\n", "ax.text(0.34, 0.2, r'$68\\%$', fontsize=fontsize, rotation=5)\n", "ax.text(0.34, 0.1, r'$90\\%$', fontsize=fontsize, rotation=5)\n", "\n", "# Legend\n", "l_size = fontsize\n", "legend_elements = []\n", "legend_elements.append(\n", " Circle((0., 0.), 0.1, facecolor='red', alpha=0.7, edgecolor='k',\n", " linewidth=2., label=r'$\\left (1:2:0\\right )$')\n", ")\n", "legend_elements.append(\n", " Circle((0., 0.), 0.1, facecolor='green', alpha=0.7, edgecolor='k',\n", " linewidth=2., label=r'$\\left (0:1:0\\right )$')\n", ")\n", "legend_elements.append(\n", " Circle((0., 0.), 0.1, facecolor='blue', alpha=0.7, edgecolor='k',\n", " linewidth=2., label=r'$\\left (1:0:0\\right )$')\n", ")\n", "legend = plt.legend(handles=legend_elements, loc=(0.65, 0.8),\n", " title='Source composition',\n", " fontsize=l_size,\n", " handler_map={Circle: HandlerCircle()})\n", "plt.setp(legend.get_title(), fontsize=l_size)\n", "legend.get_frame().set_linestyle('-')\n", "\n", "# Colorbar\n", "gs00 = gridspec.GridSpecFromSubplotSpec(2, 1, subplot_spec=gs[1])\n", "ax0 = fig.add_subplot(gs00[0])\n", "cb = mpl.colorbar.ColorbarBase(ax0, cmap=cmap_g, norm=norm)\n", "cb.ax.tick_params(labelsize=fontsize-5)\n", "ax1 = fig.add_subplot(gs00[1])\n", "cb = mpl.colorbar.ColorbarBase(ax1, cmap=cmap_b, norm=norm)\n", "cb.ax.tick_params(labelsize=fontsize-5)\n", "cb.set_label(r'${\\rm New\\:Physics\\:Scale}\\:[\\:{\\rm log}_{10} (\\Lambda^{-1}_{d=6}\\:/\\:{\\rm GeV}^{-2})\\: ]$',\n", " fontsize=fontsize+5, labelpad=20, horizontalalignment='left')\n", "#ax2 = fig.add_subplot(gs00[2])\n", "#cb = mpl.colorbar.ColorbarBase(ax2, cmap=cmap_r, norm=norm)\n", "#cb.ax.tick_params(labelsize=fontsize-5)\n", "\n", "# Set ticks\n", "tax.ticks(axis='blr', multiple=scale/5., linewidth=1, offset=0.03,\n", " fontsize=fontsize, tick_formats='%.1f')\n", "\n", "tax._redraw_labels()\n", "\n", "# save\n", "fig.savefig('./plots/fr_star.png', 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": "2.7.14" } }, "nbformat": 4, "nbformat_minor": 2 }