{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Warm-up #1" ] }, { "cell_type": "code", "execution_count": 65, "metadata": { "collapsed": false }, "outputs": [], "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import glob\n", "import matplotlib\n", "\n", "\n", "mp = 1.6726219e-24 # mass of proton in gr\n", "e_per_H2O = 10.\n", "m_H2O = 18.*mp\n", "m_body = 8e4 # gr\n", "sec_to_yr = 3.154e+7\n", "G = 6.67259e-8 # Gravitation constant [cm^3 g^-1 s^-2]\n", "Msun = 1.98847e33\n", "kpc_to_cm = 3.086e+21\n", "MeV_to_erg = 1.60218e-6\n", "pi=3.1415\n", "\n", "font = {'size' : 18}\n", "matplotlib.rc('font', **font)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The rate of interactions can be approximate by: $R = \\sigma * \\phi * N_t$" ] }, { "cell_type": "code", "execution_count": 35, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(2.6571722183264755e+28, 2.6571722183264757e-09)\n", "('The number of total interactions in a lifetime is: ', 6.704576941281363)\n" ] } ], "source": [ "sigma = 5e-44 # interaction cross section of an ~MeV range electron neutrino [cm^2]\n", "phi = 2e6 # flux above a few MeV, mostly from 8B neutrinos [cm^-2 s^-1]\n", "\n", "#The number of interaction targets in our body:\n", "Nt = m_body/m_H2O * 10 # 10 is the number of electrons per water mollecule\n", "R = sigma * phi * Nt\n", "print(Nt, R)\n", "\n", "\n", "#The number of total interactions in a lifetime is\n", "Tlifetime = 80. * sec_to_yr\n", "N_interatcion = R * Tlifetime\n", "\n", "print(\"The number of total interactions in a lifetime is: \",N_interatcion)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Warm-up #2" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "\n", "** charged-current interactions: where the neutrino converts into the equivalent charged lepton (e.g. inverse beta decay, νe + p → n + e+) – the experiment detects the charged lepton.\n", "\n", "** neutral-current interactions: where the neutrino remains a neutrino, but transfers energy and momentum to whatever it interacted with – we detect this energy transfer, either because the target recoils (e.g. neutrino-electron scattering, ν + e → ν + e) or because it breaks up (e.g. 2H + ν → p + n + ν)." ] }, { "cell_type": "code", "execution_count": 36, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "5.97863749123e+32\n" ] } ], "source": [ "sigma = 2e-41 # cross section for charged currnet electron neutrino interaction [cm^2]\n", "\n", "m_detector = 4e10 # the total mass of the liquid Ar [gr] \n", "target_per_Ar = 1 # number of targets per argon atom \n", "Nt = m_detector / (40. * mp) * target_per_Ar\n", "print(Nt)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For calculating the flux we will assume that the total binding energy of a neutronstar will be released in neutrinos. To zeroth order, we will assume that the NS is a uniform sphere of 10km radius and 1.4 Msun mass." ] }, { "cell_type": "code", "execution_count": 37, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "3.10270044782e+53\n" ] } ], "source": [ "R_NS = 1.e6 # cm\n", "M_NS = 1.4* Msun\n", "\n", "E_bind_NS = (3./5.) *(G* M_NS**2/R_NS)\n", "print(E_bind_NS)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We will asume that the released energy will be shared equally among all flavors and that the mean energy of each neutrino is 15 MeV. Then the fluence (flux integrated over time) per flavor at a distance of 8.5Kpc can be calculated as:" ] }, { "cell_type": "code", "execution_count": 41, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2.48862398531e+11\n" ] } ], "source": [ "D = 8.5 * kpc_to_cm\n", "E_nu = 15. * MeV_to_erg\n", "F = E_bind_NS / (6.* 4* pi * D**2 * E_nu)\n", "print(F)" ] }, { "cell_type": "code", "execution_count": 39, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "2975.71613203\n" ] } ], "source": [ "N_int = sigma * F * Nt\n", "print(N_int)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note that a high-energy tail in the spectrum will increase this, as cross section goes as $E_\\nu^2$" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "For the case of M33 we will repeat the calculation of the Fluence but with a distance of 778 Kpc." ] }, { "cell_type": "code", "execution_count": 40, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "29705573.4066\n" ] } ], "source": [ "D = 778 * kpc_to_cm\n", "E_nu = 15. * MeV_to_erg\n", "F = E_bind_NS / (6.* 4* pi * D**2 * E_nu)\n", "print(F)" ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "0.355197709735\n" ] } ], "source": [ "N_int = sigma * F * Nt\n", "print(N_int)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Warm-up #3" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The expected number of neutrino events is governed by Poisson statistics. The poisson probability of detecting $n$ events is $P(n)=\\frac{\\mu^n}{n\\!}e^{-\\mu}$. \n", "\n", "The Probability of detecting exactly 0 events is thus $P(n=0)=\\frac{\\mu^0}{0\\!}e^{-\\mu}=e^{-\\mu}$. Hence the probability of detecting 1 or more events is: $P(n>0)=1-P(n=0)=1-e^{-\\mu}$. \n", "\n", "For a ccSN at a distance of 10Kpc we expect to detect ~7000 events. So $\\mu_{10Kpc}=7000$, and $P(n>0,D=10Kpc) = 1-e^{-7000}=1$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From question 2 we remember that the total number of expected events scales as $N_{total}\\sim \\sigma N_t F$, where $F=\\frac{E_{total}}{4\\pi D^2 E_\\nu}$. So the total number of expected events scales with distance as $= \\mu \\sim 1/D^2$. " ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Thus at an arbitrary distance D, the mean expected number of events becomes\n", "$\\mu(D)=\\mu(D=10Kpc)*(\\frac{D}{10Kpc})^{-2}=7000*(\\frac{D}{10Kpc})^{-2}$." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We should also note that the expected number of events scales linearly with the number of interaction targets and hence with the mass of water in th detector. Thus we expect Hyper-K to be (374/22.5)=16.6 times more sensitive than Super-K." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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zdqLt4Xs9voZK91qdxmlcrodERPKJSEURqSAi+RwZSimllGfK7e/DG12qse/0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\nvQ1sAIKcvt5y3MZRwDPARU5fb3lqY+AJINb+dxfgpNPXWg7buC1QF2v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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "\n", "distance = np.linspace(1,100000,num=1000)\n", "P_superK = 1-np.exp(-7000*(distance/10)**(-2))\n", "P_hyperK=1-np.exp(-16.6*7000*(distance/10)**(-2))\n", "\n", "plt.figure(figsize=(8,6))\n", "\n", "\n", "plt.plot(distance,P_superK,label='Super-K')\n", "plt.plot(distance,P_hyperK,label='Hyper-K')\n", "plt.xscale('log')\n", "plt.yscale('log')\n", "\n", "plt.axvline(23.,label=\"Milky Way\",color=\"c\",linestyle='dashed')\n", "plt.axvline(50.,label=\"LMC\",color=\"m\",linestyle='dashed')\n", "plt.axvline(770.,label=\"Andromeda\",color=\"y\",linestyle='dashed')\n", "\n", "plt.xlim(1,100000)\n", "plt.xlabel('Distance from source [Kpc]')\n", "plt.ylabel('P(n>0)')\n", "plt.legend()\n", "plt.show()\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "# Question 5.1" ] }, { "cell_type": "markdown", "metadata": {}, "source": [] }, { "cell_type": "code", "execution_count": 44, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "data": { "image/png": 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+29ccPHHWJ+ZiKKVUe9dYz8MMrD0smro41WCVnFad1Denz3H5ZSH4+/nOeuYf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ndJulKXPltsXzwMcishT4m+NYJxEZAczC2t3ytgaOTzVRxhii2gcwMLq93aEQ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\nHM0soo2fu6pu6CQSs4r5eHMS+SbVG6QoStNU7zkPUsodwI4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eAB4E3pdSvnzGqZLKx5pK\nLRrPuabpMZeA4fTK1ET/Iby8MZejR4/AZ7dBQW0jS0pzV2q28MuBk8z5KpYKy7kV5RVFURqGLRUm\nC4QQQ4AXgEloqy2uAfKAxcBTUsrSWm7RYIQQzwJPAx8B959zOq3ysaahiapjNQ1pNA2j50P56U+V\npWYLQyID6etbBMmb4cs7YcZv0IQXlCgXr5W3kQU3R1NYWoGLmkCrKIqd2DTBUUpZAMwGZgshgtEa\nEJmyEfeGrWw4/BP4BJhRw3vvRxuyGFLDywdXPjbd3a48ArSvSj3CfFk2s/LH8vsOdC6q4dDCjeqh\nlSeXUpKWX0obP/c6XqEoimIbW4pERZ/5XEqZKaXMaOSGwzNoDYelwHQp5Xn9spVLMn8ErhRC9D7j\ntV5oRazige2Nk9gO1vwT/ni1+umu5BzKKip3Rm83CML7gbkUVsyCvOMOCqk4g7fWJXDdog2cyGm6\no3SKojgnW/o1Y4UQu4UQVb0OjUoI8XfgOeA4sBaYJISYfMbXNWdc/iSQD6wWQjwhhHgA2Ig2bPFQ\nYzZ4GtzRdZCqdZycyCnh5ne28MX2E2dfk5sEB7+HT8aC2dT4GRWncGOfMKSElfvUPBhFURqWLcMW\n/0Kb6/AGsEAI8Sva0MGPUsrGKKxfVZuhXeX7nusPYA2AlDJBCDEUeAV4Aq0GxW7gWinl2kbIaj99\nJ4PRF4DDpwrR6wSDIwPPvqZVV5i6AjIPgUF1WbdU7QM9+fWRYYSpYQtFURqYsOVDeGVZ56uAqcAE\nwBNtwuQXwKdSym32COko/fv3lzt3Ovf0iKKyCjwMenS6C8xzkBI2L4Ju4yCwY+OGU5zGF9uPI4E7\nBjph7RJFUZyGEGKXlLJ/XdfZNB1ban6TUk4DQoG70D7R34e2OVXcxYRVbJCwtnpjrAqLFS83lws3\nHACKMuDPt+Cj66HwVCOFVJyJlJLVB9N5+vsDbE/McXQcRVGagYteyyWlLJFSLpVSXoPWE1GItm+E\nYk+fT4Q9/+NETgl9nl/D6r/qaBB4h8C0ldDnDvAKaZyMilMRQvDWHX352/CORIf7OjqOoijNwEXv\nRSGEiEJrNEwG2gMWYGUD5VJqYjFre1q4+7PlWDZFZRW0DbhgsczTQrpDyLPa93ErteGLVt3sGlVx\nLp5uLswd3QWAfSl5BHm5qbkQiqJcNJsaD0IIP+B2tEbDILQ6D3uBfwCfSSkzGzyhcpreAI9q24dc\nV2rG191A11Dv+r/eXAqrntBWYNz9CwSrjqKWptRsYcYnO/HzMPDFzCEEeLo6OpKiKE2QLXUevkHb\nVXMxEIG26qKPlLKvlHKRajg0Lm+jgdE9QhG2FIQyGGHqD9DhcvBpbb9witMyGvQsur0Pbi56Kqyq\nfLWiKBen3qsthBAmYAXaMslfpZQWewZzBk632iL7KHw8hiMDn+e1pAieGdvj0qoHph+EilJoE9Nw\nGZUmwWqV6HSC9IJSjC56fD0Mjo6kKIoTsMdqi1Ap5UQp5c8toeHglMoKoDCN2OQc1h3KwM/9Ev7B\nlxJWPKgVkkrc2HAZlSZBpxNUWKxM+WAbUz7cRr7J7OhIiqI0IfVuPEgp82s7L4TwEEJEXnok5YL8\nO8DE/9E++goeHd0FT7eLnu+q7X8x8TMIHwC+Ne0hpjR3Lnodj43uSmquSZWwVhTFJrUOWwghyoGp\nUsovKp97A5+h7aC5/5xr70QrFKW3Y95G5XTDFvZUkgNHVkGfSY5OojSy4rIKPN1cMJVbyC4uI9y/\nHit4FEVplhpq2MLlnGtcgTFAo+9toQDpf3Hqx+f58o9YSs0NPHK07T34/m/w+/yGva/i9Kp6sJ5a\nvp/xb//JgdRaOxkVRVEuvkiU4gBpsYTueo23Vu1B19Dbbg9/DAbdD+EDG/a+SpPxwIiOuLnoOJpZ\n5OgoiqI4OdV4aEq8QkgLuowu7dvg6tLAf3Q6PVz3L+g0EqwW+PUpyE1u2PdQnFpUK2/WzhnOjX3a\nIKVk3aF0mvIGtIqi2I9qPDQlnUYS9uAvfHD/KPu+T/ZR2L0UllwNplz7vpfiVNxdtSlLqw+mM/3j\nnTz8ZSwWq2pAKIpytkuYrq80utJ8CktK8PALRV/bZliXKrgzzFgLiX9o5bCrignpVFuzpbimWwhz\nR3Ump9hs379riqI0SfVpPFwvhAit/N4DkMCtQog+51zXr0GTKef7YwEuW5Yws8NKPrhrgH3fK7jz\n6fLVm16D49tgwnvgGWjf91Wcgk4nePCqTtXDFp9tS8bHaGBs7zAHJ1MUxRnUp/EwqfLrTPdd4FrV\nv2lP5cUUZLszdfMLFHV6HK+hQxvnfT0CtV6IXR/BsLmN856KUxBCYLVKVsSmsS0xB4tVMr6vqgui\nKC1dXXUehtt6QynlH5eUyIk4XZ2H0gJSjyVS9NBcrKdO0umP9bgEBTXOe2fEQWAn0LvAkV+hwxXg\nquoBtBQVFivLth/ntgFtcXPRk5pnurTS6IqiOKX61nmo994WLZHTNR4qWU0mTHv34jl4MNbSUsqT\nkzF26dI4b553At7sA37tYOoK8GvbOO+rOI2DaQXc+PYmxkaH8fz4nnhdSqVTRVGcij32tlAcrOjn\nZ/hz2vXs/88SPAcPBiBr8Tsk3nIrWe++2zgh/NrClOUQ1hd8Kse/y5t+aeMKawXJBclsPbmVCmsF\nAN8c+YYXt77IhpQNAOw8tZP71tzH4xser37dpJ8mMWb5GHan7wbg87jPuX3l7SzatQiAvNI85m2c\nxyvbX6HYXAzA9pPb+f3476QUpgBQbimntKK00X7WSxUZ7MnMYZEkZhfjbtBWZ6gPIYrSsqjGQ1OS\ntAnvw8exxu6uPhRw9134jhmDzssbAGtpqf3/IY8YBrd8qNWGSNoEi3rBrk+0zbacmMVqwWzRNoBa\nk7yGh39/mH/v/jcA6SXpjFk+hntX30teWR4Af5z4g9VJq0ktStVeLy0UlRdhtp7eRKqjX0e6BXTD\n0+AJgIfBgwBjAB4GbUin0FzIrvRdrEhYgUBbtfB27NvM+n0Wa5PXArDu+DoGfDaACT9MqL7v05ue\n5tUdr3Ki8AQA+WX5TtPAMBr0PDq6K9/cfxl6nWBXcg7Xv7mJ3w9nqEaEorQQqr+xCSnreQf5vTcQ\nOmRk9TEXf3/CXj5dUvrUiy9SnpREyBNP4t6zh/1DuftDYBT8tRxiptr//eqpzFJGYn4iXQO6AjB7\n3Wy2nNzCs0Oe5frI6ykoKyAxP5EwL633pJVHK+ZfPp9Qz1B8XH0AePOqNxFnVPIc1HoQn93w2Vnv\n88LQF856Pj5qPOOjxlc/b+vdll9v+fWsa/417F9kl2YT7K5VeY/yi2J2zGzc9G4AmK1mDmQdIKUo\nhbEdxwKwaPcivjnyDZO6TuLJQU+SUZLBDwk/0Na7LaM6jEInGv9zQNUSzlKzlaIyMx9sTGREl1ZI\nKc/676YoSvOj5jzUwlnnPNQm9+uvyXxjESHz5uE75gasZWXo3Nzs+6ZSQmk+uPvBwR8gdhlc9RSE\n9rLv+1YqLC/kUM4hrNLKoNaDSMxPZMIPE7BIC5vv2IyPqw+Ldi2izFLGmMgx9AhqhEZVA5BSIpHo\nhI6tJ7eyJ2MPXf27MqLdCP5M/ZP71t6Hj6sPm+/YDMCdP9+JlJI5/ebQP7Q/ifmJ5Jbm0t6nPYHu\n9l1iW15hJa+knFY+Rlb/dYpPtiTx4IhODOmolvYqSlNS3zkPquehCUnb8BWZSUV0H3czBj/fGq/x\nv/VWfG+4AVHZYEh9ZA6yrIzgOY/g3sNOvzSF0BoOAKUFkPwn/PkW3PS+1rBo4E+hCbkJ7M7YTZ9W\nfejs35kvD3/Jv3f/m97BvRnUehDh3uFM7zmdboHdMOgMADzc7+EGzdAYhBDVQx2DWw9mcOvB1ecu\na3MZ2yZtI8uUVX2sV1AvjuUdw91FWwXx7ZFv+eTgJ4xsN5I3RrxBlimLl7a+RKRfJDN6zcDdxR2L\n1YJed+kb4bq66GjlYwTAZLZw+FQhX+w4zpCOgZRXWBECDHo1SqoozYXqeaiFs/U85D8UTtoab8Lf\nfw/vYcPqvF5KSc6HH5L94UeELfgXXkOHUp6UhD4oGL2Xp/2CmnKhohy8Q2D7fyHhNxg6C9pfZvOt\nzBYzsZmx7MnYw90978agMzD1l6nsydjD7JjZzOg1g+MFxzleeJyuAV0Jcm+kpatNQHpxOvF58XgZ\nvOjTqg8JuQk8sv4R0kvS2XLHFvQ6PZN+mkR+WT5z+89lRLsRpBalkleWR4RPRPW8jYtRarZQVFZB\nkJcby7Yf563f4rl3WCR3D41owJ9QUZSGpnoemiGTxROLXochJLTui9E+uQbecw/+U6YgXLQ/6rR5\nT1F2+DChz/4T37Fj7RPU3f/MEJCyHQ7/rDUeSgtAbwBDzTUCpJQk5CWQUpjCiHYjKLWUcs+v9yCR\nDA8fTpeALjwx8Am8Dd6Ee4cD0M6nHe182tnnZ2nCQjxDCPEMqX4e5R/FjxN+xGw1V/c2XN3uag5m\nH8TfqP2ZfZ/wPe/ufZfBrQfz31H/pcRcwuLYxXT068h1EddhdDHW672NBj3GypUYHQI9aR/oSXK2\ntionq6iMnUk5XNU1pOE3eFMUpVGonodaOFvPA5xeEnexE9JM+/aR+/ky/CfdgXt0NHnff0/50WP4\njB2DsXPnhox6mtkEFWXa0Mb6f8GWt+GyB7VtwIFiczGF5YWEeoayJnkNc9bPwcfVhw0TN6DX6dlx\naged/Tvj61bzUI3ScE4WneSv7L9wd3FnaJuhxOfGc/vK2zFbzeyYvAM3vRv3rbmPk8UnebDPg4zq\nMIoTBSdILEikg0+HWhtxFqtErxN8tDmR5348SLfWPvwy+wpAK0LlooY1FMXhVM9DM3Wps9jdo6Nx\nj46ufl526DA5S5eCtGKcOxdzWhplCQl4DByIzli/T5l1Mrif7mnoeBUyOwGrixt6YMmW+bx95Euu\naT2EBaPeZWDoQJ4d8ixD2wyt/nQ8INTO+3go1Vp7taa1V+vq5538O7H9zu2cKjlVvRpkQOgADmQd\nwNtVWx782/HfeG3Xa/QJ7sPS65ditpi5b+19hHuFMytmFkHuQZwqPoW7izu+br5MGdyeDkGeFJVq\n9TSSs4sZ//ZmruoawksTelb3WCiK4rxUU7+pyE8h6YZObL9hdIPeNuSJx+m0aSMB06Zpb7PyJ07M\nvI/kyVMArafDtHcv0myu7Ta1OrN365WTv3GVJYGfQyMB6GIqYUpeHnck7QPA1+DFzcY2hBrV3AVn\nodfpaeN1ej+LGb1msGjEIoaEDQFgQqcJLL1uKXP6zwGgoLwAs8XMhpQN6IXWEHh+y/Nc/sXlvLP3\nHVz0Otq0yuOY5WtWHltJhVUyrHMw8RkFuFUOYzy0bA+L1h7hVL5z1LZQFOVsquehqSgrgnwLwv3i\nf4lfiIv/6TkKAdOmYuzWtbqxUHYknqSJtyOMRjpt3IDe25uS3XtwadUKQ5uwWntCCsoLeH7L8+xK\n38U3Y78h0D0QgWBg6EBCPLSx+CuuepErBjwIhae0F6XFwoejwegHcw6CqycUnATv0AZftaE0DF83\nX/q0Or3JbqB7IEuvX3rWNVN7TGVg6MDq647kHuGjAx8R6RfJd+PGsGhiH6748gpu/CGA5we/QmJW\nEb8cXY/BL5ArO/RjS5w7mYWlXNcrlD5tAxr151MU5XxqzkMtnGrOQ2kB+z99F9egjljSOpKfmkS5\npwv9Zw3Dmi84/tFf4Kqj04N9cPVyJfHHo1QUmfGPDiKoRxAlWSZKs0y4+bnhGVr/lRaWoiKKN22i\nLOEowQ/+HYD4K0dQceoUYa++iu/YMZTs3k15YhJp7Tz4oHgNJRUlvDPyHazSyi0/3kJn/8482OfB\n6gmOtSor1FZnZB6GKx8HqxVe7ag1HCZ+Bu2HQH4KGDzAQ/0SacoqrBXkl+UT6B5ImaWMt/e8zYnC\nEzw24DFae7Xmkd8fZe3xVUzuNpn0pNGsPPwn7u3+Sxvv1jze42M+334cvf8GBnTwZ0TbEXTw7UCJ\nWZuUeSkrRRSlJWvxG2MJIXTAbLTtwzsAmcBXwDNSyuL63MOpGg9nOPp9PJ/t+QyrgDFXDSeyVW9W\nf/o1SS5ZBPm5MWPOXHbOW80h/TFKdSamzvsbycuTydl3iCJZRpeZ/QiP6Mihx3+nXFgIGN+F8MFt\niV92iPLEAtyifIm6rQslGSWkrEnGxcNA+7GR6F105B7LoyL5GPLEIbZ1KueHgk3c8VMRYav3Yhk5\nlIeHJ3GVazR3/liAW7t2tHriCXSurpSnpKL387N9iajFDHuXwfGtcNX/gU9r+PZe2P8VXPYQjHoR\nCtO1FR1BXSDYTpM+lUZXYa0g25SNXqcnyD2II9mJfH90OVbK6eE2lTfWHCE/6HnKRSYLLn+dpz8H\n79D1ZLuuYFj4MP7WdT7l1mLeP/QCge4BPDbgMXzdfNlxagemChNRflGEeYVhlVYEQlXFVBTUhEmA\nN4BZwHLgNaBb5fO+QoiRUkqrI8PZKn3/FuL//TEZ7ftxwz+mcq3vFRQWFBDZrQcBwQEEDggiNz6X\nViHacIDrDX4krUrFYgUXFwPB/UNYfuALSlwkhZtKCGsbwV9uSezXJeP20waeHPw85ZklrCpdh9xX\nwY3dxuJV0oqUg/vIEAUkWGP5zmct09eMo9BQSKG3hbReJQzc1A9f93Zk3TyJrre249devTj4z83k\neuaj3/4tIQYDST8dI2fFBmTyTqL+PhrXoSNJ/WYb5UcPEtI7kMBJEynJKsZ87CjG8GBcQ1oh9JWT\n5vQGrez1maWvB94LoT1PV7BM3ADfzQCfcJjzl3bs67u1nonBD0Bgx9PDIp7B2p4citNz0bmctdS0\nc2AEjwXOqX4+tncYFZZhlFpKyC+xMqpHEgeyunN77w6E+7TmxZ8Osu14IhE9TqI3JLAnOZ+vdiRw\nVP8GaWX7mR0zmwF+t/BX3kZejX2GTn6d+GrsVwA89sdjCCG4t9e9RPlHEZsRS2J+IpF+kfQO7o3Z\naibblI2nwRMvg5dqeCgtTrNsPAghegAPAd9JKW8+43gi8CZwO/C5g+JdlNxdG0jx7MwhSxph6/5k\n8Jirzzp/zYSbueaM59FDBxI9dGD1c78oPyZOu4P83BxC24Sjc9HR85a+yF1WPDw8sEorxjt80L1X\nipRwoiyNZ488xDB64yr8CTteQED/AGIDj5BmygOT5Nm+z5FSkMKytR9TrK8gP66Aa7v05Jj1GHv8\nk/CM6UAvISjYc4qNIZlUBLXG29Mdr4M5HEs+SYZBYNyygVsmTSRu4UZSXNLJyz3GpKfvJ+n3fFL3\n7aewooCOXSWdp95F7LO/UVRRgGdoHgPmzObIsjjylv6Ke7APXW/9gdJCK2kfH0DvpiOqMAkSfiNN\ndztWd1f8Tr6H1+G3KOlyP6V9H8cg0/He+yJWYyAVVy1A7+GK/pi2URWto7U5FhYzCJ1qbDgxF70O\nL70XXq7w8k3RwOmVRFHjCjiS3p7OIWPoGurDqgOnOHyqED/vO/lsQlsCjEEMm78ZXE8x8cqJtA/w\nY9HaI2yKz6LA/xh6QzFpBQWs3XeUrXlfsitvJWMjx+JhjSS1OImHNk4CYPud23F3ceehdQ+RkJvA\nA30eYGzHsWw/uZ0vDn9Be5/2zI6ZDcDHBz7GVe/KqA6jtN6U3CNklGQQ5hlGpF8k5ZZyThVrK1ta\nebRCCKH2ClGcUrNsPAB3AAJYdM7x/wKvAJNpYo0HvXcQpa65+FW4MfD6Ky/qHu07ne7STy5I5qhX\nGpffdgOhnqEs2LGApQeXcs3l1/D6la+TbcrmGvM1dB/UnXEdx2HQa2WeyweWkpGWSpnJBED48HCG\nW4eQn5dHl17RuLi70H5sJ/J3FeDjo20wFTm7J78tWovUWfGMiCTAP5Dk9WlklBXQtksXAHJCStiT\nn4gIlOgDAzGGmtl+8BAlRgvWXHeiyq0kyxT2e5zAeMrEAKA4KZuf2QKZcPNf3fFvNYQdR3/imC6d\nVgXR3P/6OhKfXMEWt9+oMOt4dPR8ju/twbbPviBfFtKrKJ8h7Y6za/vPxOtPYi2IY7r/UvbyNX+Z\nv6ekIp/rLYvRhd9ObHpvcskn1LqaEd3MbE36OyfKT1Ah0rl9cB7H869l36GTlOpKiOmaSbvICLat\nDSCnPAv/8AKuuKor8XsCSTh8GL1PBZdd0xarpRUHfk+lzFJC1DA/2nbsyKG12WRln8KrvQd9rupH\n7tFiju46jM4dOo3ojoenDwlrDmEqLaJVn1DCOrYn669MMo6nYQx2p13vCCpKrGTEpWEVFkJ7hWH0\n8CA7IRtzeTlerTzxCvKhvLCcssIyXNwNuPsbsVqtlBdqk2RdPQ3oXHRUlFYgrRKdiw69qx5rhRVp\nlaAT6JtAcaeuoT50DfWpfn5tz1Cu7Xm6wFqFxcoHdw0gq7CMUT1C8XU38MGmRFxddNzWZgEzrohk\n67FsXvllK+6ug1nz6N9x0blw57u7OJqTwaQrZ9ElzJVvdqSzaG08rdsH0jvCEx9XP257dwulrrFY\nfBMorSjlqx0nOHgyj29zXwMgzL0LiamF/J61hD15v3BTp5u4MuDvHCs4zKK4BwD45cYtpOeX89Ke\nv5FcmMCTA5+kf+B1bD65jq+OLqGTfyf+b8DLlFusPLb5AQw6PY/1f4Iwr3b8eOx7YjN3MTB0IBM6\nTeBU8SmWHlyKi86F2TGz0QkdPx79kdzSXAaHDaazf2cS8xPZl7kPf6M/w8K1CrZrk9eiEzr6h/bH\nx9WHY3nHyDRl0sqjFRG+EZSYSziadxSdTkf3gO4IIUgtSsVsMRPoHoi3qzcl5hKKzcW46l3xdfNF\nSklBeQEAngZPXHQulFnKsFgtGHQGDHoDVmnFIi3o0DVI+XSl4TXLOQ9CiF+BkYCHlLLsnHObgc5S\nyuC67tOQcx5MRUW8/8rbAHQM8WXMQ/fz4dxXKDQKfEoldy98ghWvv01iThECmPXi4wC898SrlLpY\nCSi3MGXBPH458jOfHllKpF8kL13+ElZp5c6f7gRg/hXzifCN4L297/H7id8Z2X4kM3rNID43nqc3\nP41BZ+B/1/8PgGu/vZbUolSev+x5JnSaQGxGLEfzjtI7uDdR/lEN8jPbymqxUFpqwsPTC4CUxKOY\niooIDmuDX2AQxxOOkHj4MO5ubgwcOYpSk4kV771DRXk5o26+Fb+27fn57Xc5mZFOh9YBjJ71CDs+\nX8PW2A1ISykPvvQCOUeL+OrTdyihjH6tA7h85kOsmP8hR+UpXItyeHjuZPavNrMieQ0WaeU23xwC\nIobxw64UUg35hGSf4G8xqaxNuJtNrnHorFaecvmYo54LWZF/lCJdGX1TtzIqIoM1RQ+z2/UY7sXF\nPO75PnssX/GDfgsAt6V/hXfk7fxeEMQxfQah6ce4P+QHNpR+yDrjfnRWyVOWfxPv9SE/m+Ip0Jmq\n7/t78Ry2GxJwLy7hcd9P2VP2SfV9J+b+iFf72/g911u7b2YS90duY0Pmi9X3fdrne45YX+TnooPa\nfbP2MqqrlfUnb2Ony1GMxYU82v539mTO52exDau0cFvZejzCb2JjuhuJ+gxCshOY0e0wG088zia3\nv7BaynkyeDVHyp9mbeFhCiimT94eRnR3Yf3x8ew1JOFalMOcTtvYc+oZVlt3UiHN3GrdiGf4jfyR\n4soJfRbB2YeZHp3MH0mz2WY4hKXCxONtNpBgnstvWfEUiGL6FOxmeE8P1h27joOGExjlIty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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mass_scaling = 40./17\n", "\n", "files_events = glob.glob(\"/Users/tassos/SNneutrinos/snowglobes/out/livermore_*_events.dat\")\n", "labels = [r\"$\\nu_e- ^{40}Ar$\", r\"$\\nu_e- er$\", r\"$\\bar{\\nu}_e- ^{40}Ar$\", r\"$\\bar{\\nu}_e- e$\",\n", " r\"$\\nu_\\mu- e$\", r\"$\\bar{\\nu}_\\mu - e$\", r\"$\\nu_\\tau - e$\", r\"$\\bar{\\nu}_\\tau - e$\",]\n", "\n", "plt.figure(figsize=(8,6))\n", "i=0\n", "for file in files_events:\n", " Enu, Fnu = np.genfromtxt(file,skip_footer=2,unpack=True)\n", " plt.plot(1000.*Enu,2*mass_scaling*Fnu,label=labels[i])\n", " i=i+1\n", "plt.xlabel(r'$E_\\nu [MeV]$')\n", "plt.ylabel('Event Rate (events per MeV)')\n", "plt.title(\"Intrinsic\")\n", "plt.legend()\n", "plt.show()\n", "\n", "files_events = glob.glob(\"/Users/tassos/SNneutrinos/snowglobes/out/livermore_*_events_smeared.dat\")\n", "plt.figure(figsize=(8,6))\n", "i=0\n", "for file in files_events:\n", " Enu, Fnu = np.genfromtxt(file,skip_footer=2,unpack=True)\n", " plt.plot(1000.*Enu,2*mass_scaling*Fnu,label=labels[i],linestyle='dotted')\n", " i=i+1\n", "plt.xlabel(r'$E_\\nu [MeV]$')\n", "plt.ylabel('Event Rate (events per MeV)')\n", "plt.title(\"Smeared\")\n", "plt.legend()\n", "plt.show()\n", "\n", "\n", "\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": true }, "source": [ "## Total Events Table for \"livermore argon ar17kt\" configuration: 1381 x 40/17 x (10/8.5)^2= 4496" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Total Events Table for \"GVKM argon ar17kt\" configuration: 1562 x 40/17 x (10/8.5)^2 = 5086\n" ] }, { "cell_type": "code", "execution_count": 43, "metadata": { "collapsed": false }, "outputs": [ { "data": { "image/png": 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33cHDE7p+Ad5FYN4ASLBj54RSymE0UXABraOg3M2rnepRoUQRnp27jSvx1213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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "distance = np.linspace(1,1000,num=1000)\n", "P_livermore = 1-np.exp(-4496*(distance/8.5)**(-2))\n", "P_GVKM=1-np.exp(-5086*(distance/8.5)**(-2))\n", "\n", "plt.figure(figsize=(8,6))\n", "\n", "\n", "plt.plot(distance,P_livermore,label='Livermore')\n", "plt.plot(distance,P_GVKM,label='GVKM')\n", "#plt.xscale('log')\n", "#plt.yscale('log')\n", "\n", "plt.axvline(23.,label=\"Milky Way\",color=\"c\",linestyle='dashed')\n", "plt.axvline(50.,label=\"LMC\",color=\"m\",linestyle='dashed')\n", "plt.axvline(770.,label=\"Andromeda\",color=\"y\",linestyle='dashed')\n", "\n", "plt.axhline(0.9,label=\"90% C.L.\",color=\"k\",linestyle='dotted')\n", "\n", "\n", "\n", "# plt.xlim(1,100)\n", "plt.xlabel('Distance from source [Kpc]')\n", "plt.ylabel('P(n>0)')\n", "plt.legend()\n", "plt.show()\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": 63, "metadata": { "collapsed": false, "scrolled": false }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "(478.80757764705885, 138.67973889043236)\n", "(5.7501960704470596, 53.597195022833219)\n", "(47.207524958990589, 144.13808497919865)\n", "(1.937817415626353, 40.905870141735825)\n", "(0.91902579518117644, 51.379519528625785)\n", "(0.72454828849411779, 49.286375936746296)\n", "(0.91902579518117644, 51.379519528625785)\n", "(0.72454828849411779, 49.286375936746296)\n" ] }, { "data": { "image/png": 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/Mxg9Ndlc6YFbhfHsumBJOw20KlDH2msVj9HLu8Ty1zpkm46DxKg3XYCjbxhGfoXlx52K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NGtSrdlMHiwjPD+1K/ZAgveiRUpXUvXt35syZw4QJEzhw4ABhYWHExcWxYMEC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Ol5tM+f1hfoX12ltpjDlUybWq+rqvcZpU1DLGmF32zJUzsZKHIVhVXc/Y2wKytkIlMdxr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PpBxxVlY8AYxW1TcLbH8IZ2REiwLbkoAVqvqrMmKahdPeX1rNoKlEVqNgKktvnMmHHqkO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"text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "mass_scaling = 40./17\n", "\n", "files_events = glob.glob(\"/Users/tassos/SNneutrinos/snowglobes/out/pinched_0_*_events_smeared.dat\")\n", "labels = [r\"$\\nu_e- ^{40}Ar$\", r\"$\\nu_e- er$\", r\"$\\bar{\\nu}_e- ^{40}Ar$\", r\"$\\bar{\\nu}_e- e$\",\n", " r\"$\\nu_\\mu- e$\", r\"$\\bar{\\nu}_\\mu - e$\", r\"$\\nu_\\tau - e$\", r\"$\\bar{\\nu}_\\tau - e$\",]\n", "\n", "plt.figure(figsize=(8,6))\n", "i=0\n", "for file in files_events:\n", " Enu, Fnu = np.genfromtxt(file,skip_footer=2,unpack=True)\n", " plt.plot(1000.*Enu,2*mass_scaling*Fnu,label=labels[i])\n", " i=i+1\n", " print(np.sum(mass_scaling*Fnu), np.sum(1000.*Enu*mass_scaling*mass_scaling*Fnu)/(np.sum(mass_scaling*Fnu)))\n", "\n", "plt.xlabel(r'$E_\\nu [MeV]$')\n", "plt.ylabel('Event Rate (events per MeV)')\n", "plt.title(r\"a=0, =20MeV -- $N_{\\nu_{e},events}$ = 485\")\n", "plt.legend()\n", "plt.show()\n", "\n", "files_events = glob.glob(\"/Users/tassos/SNneutrinos/snowglobes/out/pinched_1_*_events_smeared.dat\")\n", "plt.figure(figsize=(8,6))\n", "i=0\n", "for file in files_events:\n", " Enu, Fnu = np.genfromtxt(file,skip_footer=2,unpack=True)\n", " plt.plot(1000.*Enu,2*mass_scaling*mass_scaling*Fnu,label=labels[i],linestyle='dotted')\n", " i=i+1\n", " print(np.sum(mass_scaling*Fnu), np.sum(1000.*Enu*mass_scaling*mass_scaling*Fnu)/(np.sum(mass_scaling*Fnu)))\n", "\n", "plt.xlabel(r'$E_\\nu [MeV]$')\n", "plt.ylabel('Event Rate (events per MeV)')\n", "plt.title(r\"a=3, =20MeV -- $N_{\\nu_{e},events}$ = 215\")\n", "\n", "\n", "plt.legend()\n", "plt.show()\n", "\n", "files_events = glob.glob(\"/Users/tassos/SNneutrinos/snowglobes/out/pinched_2_*_events_smeared.dat\")\n", "plt.figure(figsize=(8,6))\n", "i=0\n", "for file in files_events:\n", " Enu, Fnu = np.genfromtxt(file,skip_footer=2,unpack=True)\n", " plt.plot(1000.*Enu,2*mass_scaling*mass_scaling*Fnu,label=labels[i],linestyle='dotted')\n", " i=i+1\n", " print(np.sum(mass_scaling*Fnu), np.sum(1000.*Enu*mass_scaling*mass_scaling*Fnu)/(np.sum(mass_scaling*Fnu)))\n", "\n", "\n", "plt.xlabel(r'$E_\\nu [MeV]$')\n", "plt.ylabel('Event Rate (events per MeV)')\n", "plt.title(r\"a=6, =20MeV -- $N_{\\nu_{e},events}$ = 172\")\n", "\n", "\n", "plt.legend()\n", "plt.show()\n", "\n", "\n", "files_events = glob.glob(\"/Users/tassos/SNneutrinos/snowglobes/out/pinched_3_*_events_smeared.dat\")\n", "plt.figure(figsize=(8,6))\n", "i=0\n", "for file in files_events:\n", " Enu, Fnu = np.genfromtxt(file,skip_footer=2,unpack=True)\n", " plt.plot(1000.*Enu,2*mass_scaling*mass_scaling*Fnu,label=labels[i],linestyle='dotted')\n", " i=i+1\n", " print(np.sum(mass_scaling*Fnu), np.sum(1000.*Enu*mass_scaling*mass_scaling*Fnu)/(np.sum(mass_scaling*Fnu)))\n", "\n", "plt.xlabel(r'$E_\\nu [MeV]$')\n", "plt.ylabel('Event Rate (events per MeV)')\n", "plt.title(r\"a=3, =5MeV -- $N_{\\nu_{e},events}$ = 9\")\n", "\n", "\n", "plt.legend()\n", "plt.show()\n", "\n", "\n", "\n" ] }, { "cell_type": "code", "execution_count": null, "metadata": { "collapsed": true }, "outputs": [], "source": [] } ], "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": "2.7.13" } }, "nbformat": 4, "nbformat_minor": 2 }