{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Import"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stderr",
"output_type": "stream",
"text": [
"C:\\Users\\sa_li\\.conda\\envs\\rmd\\lib\\site-packages\\zfit\\util\\execution.py:57: UserWarning: Not running on Linux. Determining available cpus for thread can failand be overestimated. Workaround (only if too many cpus are used):`zfit.run.set_n_cpu(your_cpu_number)`\n",
" warnings.warn(\"Not running on Linux. Determining available cpus for thread can fail\"\n"
]
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"\n",
"WARNING: The TensorFlow contrib module will not be included in TensorFlow 2.0.\n",
"For more information, please see:\n",
" * https://github.com/tensorflow/community/blob/master/rfcs/20180907-contrib-sunset.md\n",
" * https://github.com/tensorflow/addons\n",
"If you depend on functionality not listed there, please file an issue.\n",
"\n"
]
}
],
"source": [
"import numpy as np\n",
"from pdg_const import pdg\n",
"import matplotlib\n",
"import matplotlib.pyplot as plt\n",
"import pickle as pkl\n",
"import sys\n",
"import time\n",
"from helperfunctions import display_time, prepare_plot\n",
"import cmath as c\n",
"import scipy.integrate as integrate\n",
"from scipy.optimize import fminbound\n",
"from array import array as arr\n",
"import collections\n",
"from itertools import compress\n",
"import tensorflow as tf\n",
"import zfit\n",
"from zfit import ztf\n",
"from IPython.display import clear_output"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Build model and graphs\n",
"## Create graphs"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [],
"source": [
"def formfactor( q2, subscript): #returns real value\n",
" #check if subscript is viable\n",
"\n",
" if subscript != \"0\" and subscript != \"+\" and subscript != \"T\":\n",
" raise ValueError('Wrong subscript entered, choose either 0, + or T')\n",
"\n",
" #get constants\n",
"\n",
" mK = ztf.constant(pdg['Ks_M'])\n",
" mbstar0 = ztf.constant(pdg[\"mbstar0\"])\n",
" mbstar = ztf.constant(pdg[\"mbstar\"])\n",
" b0 = ztf.constant(pdg[\"b0\"])\n",
" bplus = ztf.constant(pdg[\"bplus\"])\n",
" bT = ztf.constant(pdg[\"bT\"])\n",
"\n",
" mmu = ztf.constant(pdg['muon_M'])\n",
" mb = ztf.constant(pdg['bquark_M'])\n",
" ms = ztf.constant(pdg['squark_M'])\n",
" mB = ztf.constant(pdg['Bplus_M'])\n",
"\n",
" #N comes from derivation in paper\n",
"\n",
" N = 3\n",
"\n",
" #some helperfunctions\n",
"\n",
" tpos = (mB - mK)**2\n",
" tzero = (mB + mK)*(ztf.sqrt(mB)-ztf.sqrt(mK))**2\n",
"\n",
" z_oben = ztf.sqrt(tpos - q2) - ztf.sqrt(tpos - tzero)\n",
" z_unten = ztf.sqrt(tpos - q2) + ztf.sqrt(tpos - tzero)\n",
" z = tf.divide(z_oben, z_unten)\n",
"\n",
" #calculate f0\n",
"\n",
" if subscript == \"0\":\n",
" prefactor = 1/(1 - q2/(mbstar0**2))\n",
" _sum = 0\n",
"\n",
" for i in range(N):\n",
" _sum += b0[i]*(tf.pow(z,i))\n",
"\n",
" return tf.complex(prefactor * _sum, ztf.constant(0.0))\n",
"\n",
" #calculate f+ or fT\n",
"\n",
" else:\n",
" prefactor = 1/(1 - q2/(mbstar**2))\n",
" _sum = 0\n",
"\n",
" if subscript == \"T\":\n",
" b = bT\n",
" else:\n",
" b = bplus\n",
"\n",
" for i in range(N):\n",
" _sum += b[i] * (tf.pow(z, i) - ((-1)**(i-N)) * (i/N) * tf.pow(z, N))\n",
"\n",
" return tf.complex(prefactor * _sum, ztf.constant(0.0))\n",
"\n",
"def resonance(q, _mass, width, phase, scale):\n",
"\n",
" q2 = tf.pow(q, 2)\n",
"\n",
" mmu = ztf.constant(pdg['muon_M'])\n",
"\n",
" p = 0.5 * ztf.sqrt(q2 - 4*(mmu**2))\n",
"\n",
" p0 = 0.5 * ztf.sqrt(_mass**2 - 4*mmu**2)\n",
"\n",
" gamma_j = tf.divide(p, q2) * _mass * width / p0\n",
"\n",
" #Calculate the resonance\n",
"\n",
" _top = tf.complex(_mass * width, ztf.constant(0.0))\n",
"\n",
" _bottom = tf.complex(_mass**2 - q2, -_mass*gamma_j)\n",
"\n",
" com = _top/_bottom\n",
"\n",
" #Rotate by the phase\n",
"\n",
" r = ztf.to_complex(scale*tf.abs(com))\n",
"\n",
" _phase = tf.angle(com)\n",
"\n",
" _phase += phase\n",
"\n",
" com = r * tf.exp(tf.complex(ztf.constant(0.0), _phase))\n",
"\n",
" return com\n",
"\n",
"def bifur_gauss(q, mean, sigma_L, sigma_R, scale):\n",
"\n",
" _exp = tf.where(q < mean, ztf.exp(- tf.pow((q-mean),2) / (2 * sigma_L**2)), ztf.exp(- tf.pow((q-mean),2) / (2 * sigma_R**2)))\n",
"\n",
" #Scale so the total area under curve is 1 and the top of the cusp is continuous\n",
"\n",
" dgamma = scale*_exp/(ztf.sqrt(2*np.pi))*2*(sigma_L*sigma_R)/(sigma_L+sigma_R)\n",
"\n",
" com = ztf.complex(dgamma, ztf.constant(0.0))\n",
"\n",
" return com\n",
"\n",
"def axiv_nonres(q):\n",
"\n",
" GF = ztf.constant(pdg['GF'])\n",
" alpha_ew = ztf.constant(pdg['alpha_ew'])\n",
" Vtb = ztf.constant(pdg['Vtb'])\n",
" Vts = ztf.constant(pdg['Vts'])\n",
" C10eff = ztf.constant(pdg['C10eff'])\n",
"\n",
" mmu = ztf.constant(pdg['muon_M'])\n",
" mb = ztf.constant(pdg['bquark_M'])\n",
" ms = ztf.constant(pdg['squark_M'])\n",
" mK = ztf.constant(pdg['Ks_M'])\n",
" mB = ztf.constant(pdg['Bplus_M'])\n",
"\n",
" q2 = tf.pow(q, 2)\n",
"\n",
" #Some helperfunctions\n",
"\n",
" beta = ztf.sqrt(tf.abs(1. - 4. * mmu**2. / q2))\n",
"\n",
" kabs = ztf.sqrt(mB**2. +tf.pow(q2, 2)/mB**2. + mK**4./mB**2. - 2. * (mB**2. * mK**2. + mK**2. * q2 + mB**2. * q2) / mB**2.)\n",
"\n",
" #prefactor in front of whole bracket\n",
"\n",
" prefactor1 = GF**2. *alpha_ew**2. * (tf.abs(Vtb*Vts))**2. * kabs * beta / (128. * np.pi**5.)\n",
"\n",
" #left term in bracket\n",
"\n",
" bracket_left = 2./3. * kabs**2. * beta**2. *tf.abs(tf.complex(C10eff, ztf.constant(0.0))*formfactor(q2, \"+\"))**2.\n",
"\n",
" #middle term in bracket\n",
"\n",
" _top = 4. * mmu**2. * (mB**2. - mK**2.) * (mB**2. - mK**2.)\n",
"\n",
" _under = q2 * mB**2.\n",
"\n",
" bracket_middle = _top/_under *tf.pow(tf.abs(tf.complex(C10eff, ztf.constant(0.0)) * formfactor(q2, \"0\")), 2)\n",
"\n",
" #Note sqrt(q2) comes from derivation as we use q2 and plot q\n",
"\n",
" return prefactor1 * (bracket_left + bracket_middle) * 2 *ztf.sqrt(q2)\n",
"\n",
"def vec(q, funcs):\n",
" \n",
" q2 = tf.pow(q, 2)\n",
"\n",
" GF = ztf.constant(pdg['GF'])\n",
" alpha_ew = ztf.constant(pdg['alpha_ew'])\n",
" Vtb = ztf.constant(pdg['Vtb'])\n",
" Vts = ztf.constant(pdg['Vts'])\n",
" C7eff = ztf.constant(pdg['C7eff'])\n",
"\n",
" mmu = ztf.constant(pdg['muon_M'])\n",
" mb = ztf.constant(pdg['bquark_M'])\n",
" ms = ztf.constant(pdg['squark_M'])\n",
" mK = ztf.constant(pdg['Ks_M'])\n",
" mB = ztf.constant(pdg['Bplus_M'])\n",
"\n",
" #Some helperfunctions\n",
"\n",
" beta = ztf.sqrt(tf.abs(1. - 4. * mmu**2. / q2))\n",
"\n",
" kabs = ztf.sqrt(mB**2. + tf.pow(q2, 2)/mB**2. + mK**4./mB**2. - 2 * (mB**2 * mK**2 + mK**2 * q2 + mB**2 * q2) / mB**2)\n",
"\n",
" #prefactor in front of whole bracket\n",
"\n",
" prefactor1 = GF**2. *alpha_ew**2. * (tf.abs(Vtb*Vts))**2 * kabs * beta / (128. * np.pi**5.)\n",
"\n",
" #right term in bracket\n",
"\n",
" prefactor2 = kabs**2 * (1. - 1./3. * beta**2)\n",
"\n",
" abs_bracket = tf.abs(c9eff(q, funcs) * formfactor(q2, \"+\") + tf.complex(2.0 * C7eff * (mb + ms)/(mB + mK), ztf.constant(0.0)) * formfactor(q2, \"T\"))**2\n",
"\n",
" bracket_right = prefactor2 * abs_bracket\n",
"\n",
" #Note sqrt(q2) comes from derivation as we use q2 and plot q\n",
"\n",
" return prefactor1 * bracket_right * 2 * ztf.sqrt(q2)\n",
"\n",
"def c9eff(q, funcs):\n",
"\n",
" C9eff_nr = tf.complex(ztf.constant(pdg['C9eff']), ztf.constant(0.0))\n",
"\n",
" c9 = C9eff_nr\n",
"\n",
" c9 = c9 + funcs\n",
"\n",
" return c9"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [],
"source": [
"def G(y):\n",
" \n",
" def inner_rect_bracket(q):\n",
" return tf.log(ztf.to_complex((1+tf.sqrt(q))/(1-tf.sqrt(q)))-tf.complex(ztf.constant(0), -1*ztf.constant(np.pi))) \n",
" \n",
" def inner_right(q):\n",
" return ztf.to_complex(2 * tf.atan(1/tf.sqrt(-q)))\n",
" \n",
" big_bracket = tf.where(y > ztf.const(0.0), inner_rect_bracket(y), inner_right(y))\n",
" \n",
" return ztf.to_complex(tf.sqrt(tf.abs(y))) * big_bracket\n",
"\n",
"def h_S(m, q):\n",
" \n",
" return ztf.to_complex(2) - G(ztf.to_complex(1) - 4*tf.pow(m, 2) / ztf.to_complex(tf.pow(q, 2)))\n",
"\n",
"def h_P(m,q):\n",
" \n",
" return ztf.to_complex(2/3) + (ztf.to_complex(1) - 4*tf.pow(m, 2) / ztf.to_complex(tf.pow(q, 2))) * h_S(m,q)\n",
"\n",
"def two_p_ccbar(mD, m_D_bar, m_D_star, q):\n",
" \n",
" \n",
" #Load constants\n",
" nu_D_bar = ztf.to_complex(pdg[\"nu_D_bar\"])\n",
" nu_D = ztf.to_complex(pdg[\"nu_D\"])\n",
" nu_D_star = ztf.to_complex(pdg[\"nu_D_star\"])\n",
" \n",
" phase_D_bar = ztf.to_complex(pdg[\"phase_D_bar\"])\n",
" phase_D = ztf.to_complex(pdg[\"phase_D\"])\n",
" phase_D_star = ztf.to_complex(pdg[\"phase_D_star\"])\n",
" \n",
" #Calculation\n",
" left_part = nu_D_bar * tf.exp(tf.complex(ztf.constant(0.0), phase_D_bar)) * h_S(m_D_bar, q) \n",
" \n",
" right_part_D = nu_D * tf.exp(tf.complex(ztf.constant(0.0), phase_D)) * h_P(m_D, q) \n",
" \n",
" right_part_D_star = nu_D_star * tf.exp(tf.complex(ztf.constant(0.0), phase_D_star)) * h_P(m_D_star, q) \n",
"\n",
" return left_part + right_part_D + right_part_D_star"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Build pdf"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [],
"source": [
"class total_pdf(zfit.pdf.ZPDF):\n",
" _N_OBS = 1 # dimension, can be omitted\n",
" _PARAMS = ['jpsi_mass', 'jpsi_scale', 'jpsi_phase', 'jpsi_width',\n",
" 'psi2s_mass', 'psi2s_scale', 'psi2s_phase', 'psi2s_width'#,\n",
" #'cusp_mass', 'sigma_L', 'sigma_R', 'cusp_scale'\n",
" ] # the name of the parameters\n",
"\n",
" def _unnormalized_pdf(self, x):\n",
" \n",
" x = x.unstack_x()\n",
"\n",
" def jpsi_res(q):\n",
" return resonance(q, _mass = self.params['jpsi_mass'], scale = self.params['jpsi_scale'], phase = self.params['jpsi_phase'], width = self.params['jpsi_width'])\n",
"\n",
" def psi2s_res(q):\n",
" return resonance(q, _mass = self.params['psi2s_mass'], scale = self.params['psi2s_scale'], phase = self.params['psi2s_phase'], width = self.params['psi2s_width'])\n",
"\n",
" def cusp(q):\n",
" return bifur_gauss(q, mean = self.params['cusp_mass'], sigma_L = self.params['sigma_L'], sigma_R = self.params['sigma_R'], scale = self.params['cusp_scale'])\n",
"\n",
" funcs = jpsi_res(x) + psi2s_res(x) #+ cusp(x)\n",
"\n",
" vec_f = vec(x, funcs)\n",
"\n",
" axiv_nr = axiv_nonres(x)\n",
"\n",
" tot = vec_f + axiv_nr\n",
"\n",
" return tot"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Load data"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [],
"source": [
"x_min = 2*pdg['muon_M']\n",
"x_max = (pdg[\"Bplus_M\"]-pdg[\"Ks_M\"]-0.1)\n",
"\n",
"obs = zfit.Space('q', limits = (x_min, x_max))\n",
"\n",
"with open(r\"./data/slim_points/slim_points_toy_0_range({0}-{1}).pkl\".format(int(x_min), int(x_max)), \"rb\") as input_file:\n",
" part_set = pkl.load(input_file)\n",
"\n",
"x_part = part_set['x_part']\n",
"\n",
"x_part = x_part.astype('float64')\n",
"\n",
"data = zfit.data.Data.from_numpy(array=x_part, obs=obs)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Setup parameters"
]
},
{
"cell_type": "code",
"execution_count": 6,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"WARNING:tensorflow:From C:\\Users\\sa_li\\.conda\\envs\\rmd\\lib\\site-packages\\tensorflow\\python\\ops\\resource_variable_ops.py:435: colocate_with (from tensorflow.python.framework.ops) is deprecated and will be removed in a future version.\n",
"Instructions for updating:\n",
"Colocations handled automatically by placer.\n"
]
}
],
"source": [
"#jpsi\n",
"\n",
"jpsi_mass, jpsi_width, jpsi_phase, jpsi_scale = pdg[\"jpsi\"]\n",
"# jpsi_scale *= pdg[\"factor_jpsi\"]\n",
"\n",
"jpsi_m = zfit.Parameter(\"jpsi_m\", ztf.constant(jpsi_mass), floating = False)\n",
"jpsi_w = zfit.Parameter(\"jpsi_w\", ztf.constant(jpsi_width), floating = False)\n",
"jpsi_p = zfit.Parameter(\"jpsi_p\", ztf.constant(jpsi_phase))\n",
"jpsi_s = zfit.Parameter(\"jpsi_s\", ztf.constant(jpsi_scale))\n",
"\n",
"#psi2s\n",
"\n",
"psi2s_mass, psi2s_width, psi2s_phase, psi2s_scale = pdg[\"psi2s\"]\n",
"\n",
"psi2s_m = zfit.Parameter(\"psi2s_m\", ztf.constant(psi2s_mass), floating = False)\n",
"psi2s_w = zfit.Parameter(\"psi2s_w\", ztf.constant(psi2s_width), floating = False)\n",
"psi2s_p = zfit.Parameter(\"psi2s_p\", ztf.constant(psi2s_phase))\n",
"psi2s_s = zfit.Parameter(\"psi2s_s\", ztf.constant(psi2s_scale))\n",
"\n",
"#cusp\n",
"\n",
"# cusp_mass, sigma_R, sigma_L, cusp_scale = 3550, 3e-7, 200, 0\n",
"\n",
"# cusp_m = zfit.Parameter(\"cusp_m\", ztf.constant(cusp_mass), floating = False)\n",
"# sig_L = zfit.Parameter(\"sig_L\", ztf.constant(sigma_L), floating = False)\n",
"# sig_R = zfit.Parameter(\"sig_R\", ztf.constant(sigma_R), floating = False)\n",
"# cusp_s = zfit.Parameter(\"cusp_s\", ztf.constant(cusp_scale), floating = False)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Setup pdf"
]
},
{
"cell_type": "code",
"execution_count": 7,
"metadata": {},
"outputs": [],
"source": [
"total_f = total_pdf(obs=obs, jpsi_mass = jpsi_m, jpsi_scale = jpsi_s, jpsi_phase = jpsi_p, jpsi_width = jpsi_w,\n",
" psi2s_mass = psi2s_m, psi2s_scale = psi2s_s, psi2s_phase = psi2s_p, psi2s_width = psi2s_w)#,\n",
" #cusp_mass = cusp_m, sigma_L = sig_L, sigma_R = sig_R, cusp_scale = cusp_s)\n",
"\n",
"# print(total_pdf.obs)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Test if graphs actually work and compute values"
]
},
{
"cell_type": "code",
"execution_count": 8,
"metadata": {},
"outputs": [],
"source": [
"def total_test_tf(xq):\n",
"\n",
" def jpsi_res(q):\n",
" return resonance(q, jpsi_m, jpsi_s, jpsi_p, jpsi_w)\n",
"\n",
" def psi2s_res(q):\n",
" return resonance(q, psi2s_m, psi2s_s, psi2s_p, psi2s_w)\n",
"\n",
" def cusp(q):\n",
" return bifur_gauss(q, cusp_m, sig_L, sig_R, cusp_s)\n",
"\n",
" funcs = jpsi_res(xq) + psi2s_res(xq) + cusp(xq)\n",
"\n",
" vec_f = vec(xq, funcs)\n",
"\n",
" axiv_nr = axiv_nonres(xq)\n",
"\n",
" tot = vec_f + axiv_nr\n",
" \n",
" return tot\n",
"\n",
"def jpsi_res(q):\n",
" return resonance(q, jpsi_m, jpsi_s, jpsi_p, jpsi_w)\n",
"\n",
"# calcs = zfit.run(total_test_tf(x_part))\n",
"\n",
"test_q = np.linspace(x_min, x_max, 2000000)\n",
"\n",
"probs = total_f.pdf(test_q)\n",
"\n",
"calcs_test = zfit.run(probs)\n",
"res_y = zfit.run(jpsi_res(test_q))"
]
},
{
"cell_type": "code",
"execution_count": 9,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.09\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"plt.clf()\n",
"# plt.plot(x_part, calcs, '.')\n",
"plt.plot(test_q, calcs_test, label = 'pdf')\n",
"# plt.plot(test_q, res_y, label = 'res')\n",
"plt.legend()\n",
"plt.ylim(0.0, 4e-4)\n",
"# plt.yscale('log')\n",
"# plt.xlim(3080, 3110)\n",
"plt.savefig('test.png')\n",
"print(jpsi_width)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Adjust scaling of different parts"
]
},
{
"cell_type": "code",
"execution_count": 10,
"metadata": {},
"outputs": [],
"source": [
"# total_f.update_integration_options(draws_per_dim=2000000, mc_sampler=None)\n",
"# inte = total_f.integrate(limits = (3090, 3102), norm_range=False)\n",
"# inte_fl = zfit.run(inte)\n",
"# print(inte_fl)\n",
"# print(pdg[\"jpsi_BR\"]/pdg[\"NR_BR\"], inte_fl/pdg[\"NR_auc\"])"
]
},
{
"cell_type": "code",
"execution_count": 11,
"metadata": {},
"outputs": [],
"source": [
"# factor_jpsi = pdg[\"NR_auc\"]*pdg[\"jpsi_BR\"]/(pdg[\"NR_BR\"]*pdg[\"jpsi_auc\"])\n",
"# factor_jpsi = pdg[\"NR_auc\"]*pdg[\"jpsi_BR\"]/(pdg[\"NR_BR\"]*inte_fl)\n",
"# print(np.sqrt(factor_jpsi)*jpsi_scale)\n",
"# print(np.sqrt(factor_jpsi))\n",
"# # print(psi2s_scale)\n",
"# factor_psi2s = pdg[\"NR_auc\"]*pdg[\"psi2s_BR\"]/(pdg[\"NR_BR\"]*pdg[\"psi2s_auc\"])\n",
"# factor_psi2s = pdg[\"NR_auc\"]*pdg[\"psi2s_BR\"]/(pdg[\"NR_BR\"]*inte_fl)\n",
"# print(np.sqrt(factor_psi2s)*psi2s_scale)\n",
"# print(np.sqrt(factor_psi2s))"
]
},
{
"cell_type": "code",
"execution_count": 12,
"metadata": {},
"outputs": [],
"source": [
"# def _t_f(xq):\n",
"\n",
"# def jpsi_res(q):\n",
"# return resonance(q, jpsi_m, jpsi_s, jpsi_p, jpsi_w)\n",
"\n",
"# def psi2s_res(q):\n",
"# return resonance(q, psi2s_m, psi2s_s, psi2s_p, psi2s_w)\n",
"\n",
"# def cusp(q):\n",
"# return bifur_gauss(q, cusp_m, sig_L, sig_R, cusp_s)\n",
"\n",
"# funcs = psi2s_res(xq) + jpsi_res(xq) + cusp(xq)\n",
"\n",
"# vec_f = vec(xq, funcs)\n",
"\n",
"# axiv_nr = axiv_nonres(xq)\n",
"\n",
"# tot = vec_f + axiv_nr\n",
" \n",
"# return tot\n",
"\n",
"# def t_f(x):\n",
"# probs = zfit.run(_t_f(ztf.constant(x)))\n",
"# return probs"
]
},
{
"cell_type": "code",
"execution_count": 13,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"5404695.652173913\n"
]
}
],
"source": [
"print(36000*(1+ pdg[\"jpsi_BR\"]/pdg[\"NR_BR\"] + pdg[\"psi2s_BR\"]/pdg[\"NR_BR\"]))"
]
},
{
"cell_type": "code",
"execution_count": 14,
"metadata": {},
"outputs": [],
"source": [
"# start = time.time()\n",
"\n",
"# result, err = integrate.quad(lambda x: t_f(x), x_min, x_max, limit = 50)\n",
"# print(result, \"{0:.2f} %\".format(err/result))\n",
"# print(\"Time:\", time.time()-start)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Sampling\n",
"## One sample"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"1/1081\n",
"Time taken: 5 min, 13 s\n",
"Projected time left: 3 d, 21 h\n"
]
}
],
"source": [
"nevents = int(pdg[\"number_of_decays\"])\n",
"event_stack = 5000\n",
"\n",
"calls = int(nevents/event_stack + 1)\n",
"\n",
"total_samp = []\n",
"\n",
"start = time.time()\n",
"\n",
"samp = total_f.sample(n=event_stack)\n",
"\n",
"for call in range(calls):\n",
" sam = samp.unstack_x()\n",
" sam = zfit.run(sam)\n",
" clear_output(wait=True)\n",
" \n",
" c = call + 1 \n",
" print(\"{0}/{1}\".format(c, calls))\n",
" print(\"Time taken: {}\".format(display_time(int(time.time() - start))))\n",
" print(\"Projected time left: {}\".format(display_time(int((time.time() - start)/c*(calls-c)))))\n",
" \n",
" with open(\"data/zfit_toys/toy_1/{}.pkl\".format(call), \"wb\") as f:\n",
" pkl.dump(sam, f, pkl.HIGHEST_PROTOCOL)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"print(\"Time to generate full toy: {} s\".format(int(time.time()-start)))\n",
"\n",
"total_samp = []\n",
"\n",
"for call in range(calls):\n",
" with open(r\"data/zfit_toys/toy_1/{}.pkl\".format(call), \"rb\") as input_file:\n",
" sam = pkl.load(input_file)\n",
" total_samp = np.append(total_samp, sam)\n",
"\n",
"total_samp = total_samp.astype('float64')\n",
"\n",
"data2 = zfit.data.Data.from_numpy(array=total_samp[:int(nevents)], obs=obs)\n",
"\n",
"print(total_samp[:nevents].shape)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"bins = int((x_max-x_min)/7)\n",
"\n",
"# calcs = zfit.run(total_test_tf(samp))\n",
"\n",
"plt.hist(total_samp, bins = bins, range = (x_min,x_max))\n",
"\n",
"# plt.plot(sam, calcs, '.')\n",
"# plt.plot(test_q, calcs_test)\n",
"plt.ylim(4000, 12000)\n",
"plt.xlim(3000, 3750)\n",
"\n",
"plt.savefig('test2.png')"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"## Toys"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"# sampler = total_f.create_sampler(n=nevents)\n",
"# nll = zfit.loss.UnbinnedNLL(model=total_f, data=sampler, fit_range = (x_min, x_max))\n",
"\n",
"# # for param in pdf.get_dependents():\n",
"# # param.set_value(initial_value)\n",
"\n",
"# sampler.resample(n=nevents)\n",
"\n",
"# # Randomise initial values\n",
"# # for param in pdf.get_dependents():\n",
"# # param.set_value(random value here)\n",
"\n",
"# # Minimise the NLL\n",
"# minimizer = zfit.minimize.MinuitMinimizer(verbosity = 10)\n",
"# minimum = minimizer.minimize(nll)"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Fitting"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"nll = zfit.loss.UnbinnedNLL(model=total_f, data=data2, fit_range = (x_min, x_max))\n",
"\n",
"minimizer = zfit.minimize.MinuitMinimizer()\n",
"# minimizer._use_tfgrad = False\n",
"result = minimizer.minimize(nll)\n",
"\n",
"param_errors = result.error()\n",
"\n",
"for var, errors in param_errors.items():\n",
" print('{}: ^{{+{}}}_{{{}}}'.format(var.name, errors['upper'], errors['lower']))\n",
"\n",
"print(\"Function minimum:\", result.fmin)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"(-3.14+2*np.pi)/np.pi"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"display_time(int(395*pdg[\"number_of_decays\"]/100000))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"print(display_time(22376))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"probs = total_f.pdf(test_q)\n",
"\n",
"calcs_test = zfit.run(probs)\n",
"res_y = zfit.run(jpsi_res(test_q))"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"plt.clf()\n",
"# plt.plot(x_part, calcs, '.')\n",
"plt.plot(test_q, calcs_test, label = 'pdf')\n",
"# plt.plot(test_q, res_y, label = 'res')\n",
"plt.legend()\n",
"plt.ylim(0.0, 4e-4)\n",
"# plt.yscale('log')\n",
"# plt.xlim(3080, 3110)\n",
"plt.savefig('test3.png')\n",
"print(jpsi_width)"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.3"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
