{ "cells": [ { "attachments": {}, "cell_type": "markdown", "id": "dd3c9519", "metadata": {}, "source": [ "# 2 to 2 process" ] }, { "cell_type": "code", "execution_count": null, "id": "b35a693f", "metadata": {}, "outputs": [], "source": [ "from smpl import io" ] }, { "cell_type": "code", "execution_count": 2, "id": "8fdd58fc", "metadata": {}, "outputs": [], "source": [ "from feynml.interface.qgraf import get_style\n", "import itertools as it\n", "import re" ] }, { "cell_type": "code", "execution_count": 3, "id": "d0e15307", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "\n", "\tPlease cite the following papers if you use this code:\n", "\n", " [1] Automatic Feynman graph generation J. Comput. Phys. 105 (1993) 279--289 https://doi.org/10.1006/jcph.1993.1074\n", "\n", " [2] Abusing Qgraf Nucl. Instrum. Methods Phys. Res. A 559 (2006) 220--223 https://doi.org/10.1016/j.nima.2005.11.151\n", "\n", " [3] Feynman graph generation and propagator mixing, I Comput. Phys. Commun. 269 (2021) 108103 https://doi.org/10.1016/j.cpc.2021.108103\n", "\n", "\t\n" ] } ], "source": [ "from pyqgraf import qgraf, model\n", "qgraf.install(\"3.6.5\")\n", "xml_string = qgraf.run(\"nu_e[p1], nu_e_bar[p2]\", \"nu_e[p3], nu_e_bar[p4]\",loops=1,loop_momentum=\"l\",model = model.gws_UnitaryGauge_reduced, style=get_style())" ] }, { "cell_type": "code", "execution_count": 5, "id": "23fe988d", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "single photon diags 8\n" ] }, { "data": { "image/png": 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", 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", 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qpZrrXt9oZXohA0lUNr6z8eYno/kRoPoH324LZZvS8ErZ7sFp3e83HVThUUewiEZP6ML2BrVx40i3kKzcOKRYpfXfyW5fh9/9zTAQ28rOT62wtj38ne1uoNgmdf4CfhbQhT704krr4nmjO/tcsXIrf8Ajp+/ShtFqAQOwP96oHbazSyz+AXf3Lm3iyE8DjHMj3sgaN2Ld4Opd2jmT3HCZG/FGqufN+3fs0EOAq3dpc1oV4xIX4o3m9Tfbj42P1+7iXdrMibeT0b0xvQBrpZL101ViLfRJMxUqHKwu+KSv9KCFYxWXn5zb6jApF+INH7h1l5YRkDgrJiCdkCt3aQuGTuO8OfWBE7P/Lu2sUSsDnBA7mDFwX6S51WXpbBy4gHjDFLvL0udOPFDBEOINs2y+S1tQx4E2xBum1Xdp7UxD5s7Vy2ASxBt2sPWhhY0DJxFv2MLGu7Q8quAk4g272HSXNtKC5ChOI96wjy13aXMrVmEJ7qo0RUr0relF4MC9vpSsuEtLtIGTAmtx7xQb7tKWPKrgWERrOMv9Qv+n36hUoZmh+IPkKI50HzANU36udeOfpYFL+USl2EO84Yb53taxnjzymLNxoIl4ww2Rqsa2Me21s0gl5V9oIt5wR6LnzbbxR/100j/X9ov/mBzxhkvyzcbxq0nL0ksLDoRhFeIN15Rab2bVTXeXluwGDhBvuCZqFIRNdZe2LjkHdjibd8/+39hsooeWwsKZvDAk433EA1PdpS25zYTa0pLbl+grHr0sPXJolMOofmx6AcZletCT6UXgpLzx8PHQYTzWk77STAvd6/0o60lU6hvrx3RhEsQbvhlrLm3GMCZskd+wS6RCmdLeeYT6Lu2wyVKO7LFDvGGXbepxiIqJbOBKT9Ki2CDesEuiZ6VK93IbfUSaD5jMjFRR7wOJeMM26QgTe4edSzvnrQbEG7ZJdhvHsKnNfMCy9IoEaehs6Z6NV3Vvr2zwF2ekcpC5tAkp0tCljBC2UjzaC7P/iCcOZKEFFYAB6lOWXmhBtBG6MdJwcMHtI54Y1QXijaDddpe2oo4jdMQbobvlLi11HMEj3sAtd2kj6jhCRryBrezqubQ08gkW8QZeXXeXNmPjCBXxBg51u0sbac6BbLjmxBs4Ib94l5bUaMBiTuPR4vxdWiLVoM05i8cZqarWCo9nYtVQEW/gsra7tIkqRjKFiXgDXcQtd2kjleQ5wkO8ge5O36WN9Gx6YZga8QauU6g6KEufE3GEhngD12vepY05kA0R8QZuU9+l/fNJBkzCMsQbuF2kQr/Xv1I1Gp6CeAO9xPpP/TdbR1gi4g0M4J/JcYSl4C8cA4hU0Rk/HBEt7TEQZvEEhHgDwxlupCSsRryBIXFLVpL0xvQCRpfrXivTi4A3HrSinsN/xBsYGjVBkj4zvYCRfdCjPppeBLyy0p1SPZheBsZDvIEx8HPlecTxM/1AvIHBveitZvxk+Sv49wWMZkkpmK8o1sF4ZhzL+or3BIyJwV5eIt7AuBKOZX1EvIGx0RzKO8QbGB/Hst4h3sAUuEDpFeINTCPiLcon/GViKplK00vAMGbEG5gQx7KeODW8DxhLkB06/OvHkUr6ZHoRCMiDVhzLuo/AEVOLwzuW9S3iSCU6JWBiT7pXbnoR6IN4AyZQCua0INNUsAK1Qw4j3oA5S07z3ES8AZP4+XMU8QbMWjA4wT0x+z0MC2hwgj/Nigvd69H0IhC0lb7QF/re9DLQXUB7PSwWzLGsLxFHoXsKzWHci+70jhJEVxBvwB40dXAGvR9hjxkdOtxAvAG7UBjgBOIN2CVVZXoJuIR4A/bhzcx6/BXBPrGqMI5lXRURb8BKDE6wWkEDFViJwQkWC6ZODw6iQ4e1CAdhs4pjWRsRb8BuHnfocLlZca57rUwvAmj1oBUdOmxDvAH7eVtl5O7t2A961EfTiwDOWulOKbdl7UG8ATd4+pPqasRBvAE3vOgtMYc9KOiFOygFs0RG/QYcMvP3WNYt7OBwCx06LEApL1yT+Hos6xLiDbiH9g+GEW/ARbGfx7LuIN6Am7iSaRDxBlxFhw6D+NbDXbztGcI3Hm7jWNaIingDTvOmQ4dL/ThSPenJ9CKAHh604lh2aoR5cJ8nx7LuRBypxB1DOO9J93TmnxLxBvzgaYcOO3mTVAKUczo4FeIN+GSpxPQSQkC8Ab/wEz0J4g34hp/p0bE7wz/eDk6wx5y9GR6acyw7pliV6SUAI3D6WPZHk/5p8cFdky4l5HN90reTrhKYRiHpvelF3GbajSM9eOh4uFgLGmuhzyf+ngBTWeor7l+NgU6N8Fmm0vQSXFFovfmovFgEQ+YZvuNYtqNkc7jaZVMg3oDvUpL/3eSblq3lxZ2WeAMh4O2xk3rDeB3iGLduIHxDEYKYSchdPEvKd1tCoVTRyUIY4g2EgsEJFyWqlO2qORItlCo9mSQtiDcQCAYnXCnd7LTHgVpEyggBca5/v9nWgZ8kpZqdyHLktAlEQL5VQoeO/pyu4gdu4NgdcDubFee618r0IoAJPUiamV6E24g3ECKnzhE/M72AhlSFVnrSBz3qo+nFABNb6U4pub3rpVprrV/rd8QbCJJDsbZNEUesn0n6U/2JEv3AZWME50VviTmuV2jd+Mexc21gEJSCXa25cVC9jzDN3DiWtfM49kFfcRyLIN1LdOi4TsFDCqCE6xbXWWitNfcEETwaSlzlUWu+YYBid45lbfAH/cL0EgAr0KGjs0z/YHoJgCXo0NEZ3yjglXMdOszg2wTsqziWvYx4A9hndYcOO+6qzCR9Z3oRgFWe9BNF+mR6GTZbEG8ARyzu0GFDyXkqcRcWOPKke45l2zE9EzjN2g4dPza9AKUSHQiAk1b6VoW+bvm3xUFn9PchZUSIN4BzlgxOOGb1kRNggXOvkULrzUdlWNsL8QZwSfurJNlsKhafv4yBeAO4LGndFvLNqUsZ1hsw8QbQxVz5yc/XG0bWOLSN/X9NJcQbQCdtx7LPkvJGF5tCqaKWTcYbc0beAR0V+pejzyWqlDWqrhMtlCr1O00aWDoH6Gmtf7rwK9LNI4uVJWNDoa8icI3fa63q7K2uSIVSzXyO5Ik3gOvUzbyf/U9+nkO8AVyn3I0r8zz52Y54A7hWc9Jh6Xceow3xBnCtfG+2cml6OdMj3gCul+42jWcVIUYcxBvA9ZLNtvE/+gvTSzEhIt4AbrLWQkmoEwEK4g3gJtv6jMrv2tBTrG2FBjjDglvlUzcrznWvlekvGnDag+Rzdegx4g1gCMZPJqcdyPRBj/po9gsGPLDSnRJ9b3oZ0yDeAIZi+NU0ZcRBvAEM5UV3ehfCYBHiDWBYQYxqLxhmBwxqZv5YdnzEG8DQvG/3nRFvAINLVZlewriCeBoDJuf1ldFAr+UAo4t9TgIQbwBj8fbYgXgDGE90ofe5s4g3gDF5+dbs5RcFWKXy71iWeAMY2+QdOsa+q5LpRd9N+yUBwXnSTxTpk+llDMfTtA1gmYk7dIwbcaSKiDeACax0p9SX27LeV9ID1vDm/rkFLVWBgOR+nGASbwDT8uAMk3gDmJoHrzriDWB6jr/uPNj5AAclpgcn9OP4vgc4a67c9BJuRbwBmOLwsWxJvAEY42iHjph4AzAocvNY1usuiIADMpWml3At4+NwAbh3PEG8AZjn2AEF8QZgB6fewp1aLOAxhwYnEG8A9nDmWJZ4A7CHI6VgxBuAXZyYMUC8AdhmqcT0Es6LfJ+bDThopGPZN4P9TrkvjVIBjzxImpleRDtH0jBAcEbJPQ41HuGDHvVx0m8HgC5WulOi700v4xTiDcBeI7w+h4k4iDcAe73oTu/sy0ESbwC2s7BDhzOFrUCwZrZ16CDeAFxgWYeOnHgDcEBqV4lmRbwBOMGiSyFOXKIBIKs6dFiYqwXQwpKDDOINwCWWDE6wYhEAOrPgzd6CJQC4UmX6WJZ4A3DPIB06br+rkulF35n+HgC40pN+IunR1B9PvAG4aYAOHbdGHMQbgKtWulNq5rbsgngDcFbvG2a39RxNJT2Z/toB3Gilb02Ugll2zw7A1SbPUjo2BxvACbOpX8fEG4APJn0lE28AfkimHNpKvAH4YrIOHcQbgD8ma/xJvAH4ZJIOHQnxBuCVSTp0zIk3AM9kYw9OGGV4LQDDRk5AWNQjGcBgRj3yIN4AfFWOFxQQbwC+Gm1wAvEG4LORjmWJNwCfjVIKRrwB+G6EqQXEG4D/lkqG/O2IN4AQXHEs26V1YKZvTH9FAEb3IA1XCjbZ/TkAhnV+urg8HuGDHvXR9NcDYAIrfaEv9H3/34h4AwhJx1f8pYiDeAMIyYvu9K7vsCbiDSA8vTt0TNIdCIBVenboIN4AwtSrQwfxBhCmVNWt/ynxBhCum6+ZZMQbQLBiVbcFDpOPpAVgkZtSFSNcsQXgkJsGJxBvAKG7Onwg3gAgVdcdyxJvADjToeNUP45MD3oyvWIAxj1ImnX9xcQbAGotHTqOb8dmetF3plcLwAor3SntcluWeAPAq5M15IcRR6q3xBsAdl709nLMsRi2QToAD1x4Dhl1ajUAR83O7wy9buED8NaZvYF4A8BpSfvgBOINAG1aOnQQbwBoF59u7UW8AeCcEx06iDcAnHeiQwfxBoBLDhpuxMQbADrYCzFu7mgMICiNpEbn0fYAglduwwziDQBdxVpKP1KshT43vRYAzigk4g0A14m01O0zIgEEKv9/CzPCgoU4Ql4AAAAldEVYdGRhdGU6Y3JlYXRlADIwMjUtMDQtMDJUMDY6NDk6MjgrMDA6MDC0Pnc8AAAAJXRFWHRkYXRlOm1vZGlmeQAyMDI1LTA0LTAyVDA2OjQ5OjI4KzAwOjAwxWPPgAAAACh0RVh0ZGF0ZTp0aW1lc3RhbXAAMjAyNS0wNC0wMlQwNjo0OToyOCswMDowMJJ27l8AAAATdEVYdHBkZjpWZXJzaW9uAFBERi0xLjVTNlrBAAAASnRFWHRzaWduYXR1cmU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", 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", 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", 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", "text/plain": [ "" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from pathlib import Path\n", "import subprocess\n", "import shlex\n", "\n", "from xsdata.formats.dataclass.parsers import XmlParser\n", "from pyfeyn2.render.latex.feynmp import FeynmpRender\n", "from pyfeyn2.render.latex.tikzfeynman import TikzFeynmanRender\n", "from pyfeyn2.render.pyx.pyxrender import PyxRender\n", "from pyfeyn2.feynmandiagram import FeynML\n", "\n", "from pyfeyn2.auto.bend import auto_bend\n", "from pyfeyn2.auto.label import auto_label\n", "from pyfeyn2.auto.position import feynman_adjust_points\n", "\n", "parser = XmlParser()\n", "fml = parser.from_string(xml_string, FeynML)\n", "\n", "def filter_diag(d):\n", " count = 0\n", " ecount = 0\n", " for p in d.propagators:\n", " if p.pdgid == 22:\n", " count +=1\n", " if p.pdgid == 11:\n", " ecount +=1\n", " if count >=0 and ecount >=2:\n", " return True\n", " return False\n", "\n", "ccount=0 \n", "for d in fml.diagrams:\n", " if filter_diag(d):\n", " ccount +=1\n", "print(\"single photon diags\", ccount)\n", "\n", "for d in fml.diagrams:\n", " if filter_diag(d):\n", " d.legs[0].with_xy(-2,2)\n", " d.legs[1].with_xy(-2,-2)\n", " d.legs[2].with_xy(2,2)\n", " d.legs[3].with_xy(2,-2)\n", " #d.get_point(d.legs[0].target).with_xy(-1,0)\n", " #d.get_point(d.legs[1].target).with_xy(1,0)\n", " d = feynman_adjust_points(d,size=15)\n", " auto_bend(d)\n", " auto_label(d.propagators)\n", " auto_label(d.legs)\n", " #print(d)\n", " t = TikzFeynmanRender(d)\n", " #print(t.get_src())\n", " t.render(show=True)\n", " #break" ] }, { "cell_type": "code", "execution_count": null, "id": "ab4399ea", "metadata": {}, "outputs": [], "source": [ "print(xml_string)" ] }, { "cell_type": "code", "execution_count": null, "id": "6cb264a7", "metadata": {}, "outputs": [], "source": [] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.13.2" } }, "nbformat": 4, "nbformat_minor": 5 }