{
"cells": [
{
"cell_type": "markdown",
"id": "dd3c9519",
"metadata": {},
"source": [
"# 1 to 1 process"
]
},
{
"cell_type": "code",
"execution_count": 1,
"id": "b35a693f",
"metadata": {},
"outputs": [],
"source": [
"from smpl_io import io"
]
},
{
"cell_type": "code",
"execution_count": 2,
"id": "8fdd58fc",
"metadata": {},
"outputs": [],
"source": [
"from feynml.interface.qgraf import style\n",
"import itertools as it\n",
"import re"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "1c37732f",
"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[p1]\",loops=2,loop_momentum=\"l\",model = model.gws_UnitaryGauge_reduced, style=style)"
]
},
{
"cell_type": "code",
"execution_count": 31,
"id": "23fe988d",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"single photon diags 2\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
"<wand.image.Image: 832f0ec 'PDF' (540x117)>"
]
},
"metadata": {},
"output_type": "display_data"
},
{
"data": {
"image/png": 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",
"text/plain": [
"<wand.image.Image: 45830d0 'PDF' (540x137)>"
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"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,auto_vdw\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 ==1 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(-2,0)\n",
" d.legs[1].with_xy(2,0)\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,clear_vertices=False)\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": 6,
"id": "ab4399ea",
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"<!--\n",
" file generated by qgraf-3.6.5\n",
"\n",
" output= 'output.out' ;\n",
" style= 'tmp.sty' ;\n",
" model = 'tmp.model';\n",
" in= nu_e[p1];\n",
" out= nu_e[p1];\n",
" loops= 2;\n",
" loop_momentum= l;\n",
" options= notadpole,onshell;\n",
"\n",
"\n",
" You must add x= and y= with suitable vertex positions.\n",
" Some lines may need manual bending to render properly.\n",
"-->\n",
"<feynml>\n",
" \n",
" <diagram\n",
" id=\"Diagram1\"\n",
" incoming=\"1\"\n",
" outgoing=\"1\"\n",
" sign=\"+\"\n",
" symmmetry_factor=\"1/2\"\n",
" >\n",
"\n",
"\n",
" <vertex id=\"Vert1\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert2\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert3\">\n",
" </vertex>\n",
"\n",
"\n",
"\n",
" <leg id=\"In1\">\n",
" <name>nu_e</name>\n",
" <sense>incoming</sense>\n",
" <target>Vert1</target>\n",
" <momentum>\n",
" <name>p1</name>\n",
" </momentum>\n",
" </leg>\n",
"\n",
"\n",
"\n",
" <leg id=\"Out1\">\n",
" <name>nu_e</name>\n",
" <sense>outgoing</sense>\n",
" <target>Vert2</target>\n",
" <momentum>\n",
" <name>p1</name>\n",
" </momentum>\n",
" </leg>\n",
"\n",
"\n",
"\n",
" <propagator id=\"Prop1\">\n",
" <name>e_minus</name>\n",
" <source>Vert1</source>\n",
" <target>Vert2</target>\n",
" <momentum>\n",
" <name>l1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop2\">\n",
" <name>W_minus</name>\n",
" <source>Vert3</source>\n",
" <target>Vert1</target>\n",
" <momentum>\n",
" <name>l1-p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop3\">\n",
" <name>W_minus</name>\n",
" <source>Vert2</source>\n",
" <target>Vert3</target>\n",
" <momentum>\n",
" <name>l1-p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop4\">\n",
" <name>gamma</name>\n",
" <source>Vert3</source>\n",
" <target>Vert3</target>\n",
" <momentum>\n",
" <name>l2</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
"\n",
" </diagram>\n",
" \n",
" <diagram\n",
" id=\"Diagram2\"\n",
" incoming=\"1\"\n",
" outgoing=\"1\"\n",
" sign=\"+\"\n",
" symmmetry_factor=\"1\"\n",
" >\n",
"\n",
"\n",
" <vertex id=\"Vert1\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert2\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert3\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert4\">\n",
" </vertex>\n",
"\n",
"\n",
"\n",
" <leg id=\"In1\">\n",
" <name>nu_e</name>\n",
" <sense>incoming</sense>\n",
" <target>Vert1</target>\n",
" <momentum>\n",
" <name>p1</name>\n",
" </momentum>\n",
" </leg>\n",
"\n",
"\n",
"\n",
" <leg id=\"Out1\">\n",
" <name>nu_e</name>\n",
" <sense>outgoing</sense>\n",
" <target>Vert2</target>\n",
" <momentum>\n",
" <name>p1</name>\n",
" </momentum>\n",
" </leg>\n",
"\n",
"\n",
"\n",
" <propagator id=\"Prop1\">\n",
" <name>e_minus</name>\n",
" <source>Vert1</source>\n",
" <target>Vert3</target>\n",
" <momentum>\n",
" <name>l1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop2\">\n",
" <name>W_minus</name>\n",
" <source>Vert4</source>\n",
" <target>Vert1</target>\n",
" <momentum>\n",
" <name>l1-p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop3\">\n",
" <name>e_minus</name>\n",
" <source>Vert3</source>\n",
" <target>Vert2</target>\n",
" <momentum>\n",
" <name>-l2</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop4\">\n",
" <name>W_minus</name>\n",
" <source>Vert2</source>\n",
" <target>Vert4</target>\n",
" <momentum>\n",
" <name>-l2-p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop5\">\n",
" <name>gamma</name>\n",
" <source>Vert4</source>\n",
" <target>Vert3</target>\n",
" <momentum>\n",
" <name>-l1-l2</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
"\n",
" </diagram>\n",
" \n",
" <diagram\n",
" id=\"Diagram3\"\n",
" incoming=\"1\"\n",
" outgoing=\"1\"\n",
" sign=\"+\"\n",
" symmmetry_factor=\"1\"\n",
" >\n",
"\n",
"\n",
" <vertex id=\"Vert1\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert2\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert3\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert4\">\n",
" </vertex>\n",
"\n",
"\n",
"\n",
" <leg id=\"In1\">\n",
" <name>nu_e</name>\n",
" <sense>incoming</sense>\n",
" <target>Vert1</target>\n",
" <momentum>\n",
" <name>p1</name>\n",
" </momentum>\n",
" </leg>\n",
"\n",
"\n",
"\n",
" <leg id=\"Out1\">\n",
" <name>nu_e</name>\n",
" <sense>outgoing</sense>\n",
" <target>Vert2</target>\n",
" <momentum>\n",
" <name>p1</name>\n",
" </momentum>\n",
" </leg>\n",
"\n",
"\n",
"\n",
" <propagator id=\"Prop1\">\n",
" <name>e_minus</name>\n",
" <source>Vert1</source>\n",
" <target>Vert3</target>\n",
" <momentum>\n",
" <name>l1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop2\">\n",
" <name>W_minus</name>\n",
" <source>Vert4</source>\n",
" <target>Vert1</target>\n",
" <momentum>\n",
" <name>l1-p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop3\">\n",
" <name>e_minus</name>\n",
" <source>Vert3</source>\n",
" <target>Vert2</target>\n",
" <momentum>\n",
" <name>-l2</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop4\">\n",
" <name>W_minus</name>\n",
" <source>Vert2</source>\n",
" <target>Vert4</target>\n",
" <momentum>\n",
" <name>-l2-p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop5\">\n",
" <name>Z_0</name>\n",
" <source>Vert4</source>\n",
" <target>Vert3</target>\n",
" <momentum>\n",
" <name>-l1-l2</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
"\n",
" </diagram>\n",
" \n",
" <diagram\n",
" id=\"Diagram4\"\n",
" incoming=\"1\"\n",
" outgoing=\"1\"\n",
" sign=\"+\"\n",
" symmmetry_factor=\"1\"\n",
" >\n",
"\n",
"\n",
" <vertex id=\"Vert1\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert2\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert3\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert4\">\n",
" </vertex>\n",
"\n",
"\n",
"\n",
" <leg id=\"In1\">\n",
" <name>nu_e</name>\n",
" <sense>incoming</sense>\n",
" <target>Vert1</target>\n",
" <momentum>\n",
" <name>p1</name>\n",
" </momentum>\n",
" </leg>\n",
"\n",
"\n",
"\n",
" <leg id=\"Out1\">\n",
" <name>nu_e</name>\n",
" <sense>outgoing</sense>\n",
" <target>Vert2</target>\n",
" <momentum>\n",
" <name>p1</name>\n",
" </momentum>\n",
" </leg>\n",
"\n",
"\n",
"\n",
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"\n",
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"\n",
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"\n",
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"\n",
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"\n",
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"\n",
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"\n",
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"\n",
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"\n",
"\n",
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"\n",
"\n",
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"\n",
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"\n",
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"\n",
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"\n",
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"\n",
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"\n",
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"\n",
"\n",
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"\n",
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"\n",
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"\n",
"\n",
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"\n",
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"\n",
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"\n",
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"\n",
"\n",
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"\n",
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"\n",
" <propagator id=\"Prop4\">\n",
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"\n",
"\n",
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" symmmetry_factor=\"1\"\n",
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"\n",
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"\n",
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"\n",
"\n",
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"\n",
"\n",
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"\n",
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"\n",
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"\n",
" <propagator id=\"Prop4\">\n",
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"\n",
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"\n",
"\n",
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" symmmetry_factor=\"1\"\n",
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"\n",
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"\n",
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"\n",
" <leg id=\"In1\">\n",
" <name>nu_e</name>\n",
" <sense>incoming</sense>\n",
" <target>Vert1</target>\n",
" <momentum>\n",
" <name>p1</name>\n",
" </momentum>\n",
" </leg>\n",
"\n",
"\n",
"\n",
" <leg id=\"Out1\">\n",
" <name>nu_e</name>\n",
" <sense>outgoing</sense>\n",
" <target>Vert2</target>\n",
" <momentum>\n",
" <name>p1</name>\n",
" </momentum>\n",
" </leg>\n",
"\n",
"\n",
"\n",
" <propagator id=\"Prop1\">\n",
" <name>nu_e</name>\n",
" <source>Vert1</source>\n",
" <target>Vert2</target>\n",
" <momentum>\n",
" <name>l1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop2\">\n",
" <name>Z_0</name>\n",
" <source>Vert3</source>\n",
" <target>Vert1</target>\n",
" <momentum>\n",
" <name>l1-p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop3\">\n",
" <name>Z_0</name>\n",
" <source>Vert4</source>\n",
" <target>Vert2</target>\n",
" <momentum>\n",
" <name>-l1+p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop4\">\n",
" <name>nu_e</name>\n",
" <source>Vert4</source>\n",
" <target>Vert3</target>\n",
" <momentum>\n",
" <name>l1+l2-p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop5\">\n",
" <name>nu_e</name>\n",
" <source>Vert3</source>\n",
" <target>Vert4</target>\n",
" <momentum>\n",
" <name>l2</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
"\n",
" </diagram>\n",
" \n",
" <diagram\n",
" id=\"Diagram14\"\n",
" incoming=\"1\"\n",
" outgoing=\"1\"\n",
" sign=\"+\"\n",
" symmmetry_factor=\"1\"\n",
" >\n",
"\n",
"\n",
" <vertex id=\"Vert1\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert2\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert3\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert4\">\n",
" </vertex>\n",
"\n",
"\n",
"\n",
" <leg id=\"In1\">\n",
" <name>nu_e</name>\n",
" <sense>incoming</sense>\n",
" <target>Vert1</target>\n",
" <momentum>\n",
" <name>p1</name>\n",
" </momentum>\n",
" </leg>\n",
"\n",
"\n",
"\n",
" <leg id=\"Out1\">\n",
" <name>nu_e</name>\n",
" <sense>outgoing</sense>\n",
" <target>Vert2</target>\n",
" <momentum>\n",
" <name>p1</name>\n",
" </momentum>\n",
" </leg>\n",
"\n",
"\n",
"\n",
" <propagator id=\"Prop1\">\n",
" <name>nu_e</name>\n",
" <source>Vert1</source>\n",
" <target>Vert2</target>\n",
" <momentum>\n",
" <name>l1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop2\">\n",
" <name>Z_0</name>\n",
" <source>Vert3</source>\n",
" <target>Vert1</target>\n",
" <momentum>\n",
" <name>l1-p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop3\">\n",
" <name>Z_0</name>\n",
" <source>Vert4</source>\n",
" <target>Vert2</target>\n",
" <momentum>\n",
" <name>-l1+p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop4\">\n",
" <name>W_minus</name>\n",
" <source>Vert4</source>\n",
" <target>Vert3</target>\n",
" <momentum>\n",
" <name>l1+l2-p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop5\">\n",
" <name>W_minus</name>\n",
" <source>Vert3</source>\n",
" <target>Vert4</target>\n",
" <momentum>\n",
" <name>l2</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
"\n",
" </diagram>\n",
" \n",
" <diagram\n",
" id=\"Diagram15\"\n",
" incoming=\"1\"\n",
" outgoing=\"1\"\n",
" sign=\"+\"\n",
" symmmetry_factor=\"1\"\n",
" >\n",
"\n",
"\n",
" <vertex id=\"Vert1\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert2\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert3\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert4\">\n",
" </vertex>\n",
"\n",
"\n",
"\n",
" <leg id=\"In1\">\n",
" <name>nu_e</name>\n",
" <sense>incoming</sense>\n",
" <target>Vert1</target>\n",
" <momentum>\n",
" <name>p1</name>\n",
" </momentum>\n",
" </leg>\n",
"\n",
"\n",
"\n",
" <leg id=\"Out1\">\n",
" <name>nu_e</name>\n",
" <sense>outgoing</sense>\n",
" <target>Vert2</target>\n",
" <momentum>\n",
" <name>p1</name>\n",
" </momentum>\n",
" </leg>\n",
"\n",
"\n",
"\n",
" <propagator id=\"Prop1\">\n",
" <name>W_minus</name>\n",
" <source>Vert2</source>\n",
" <target>Vert1</target>\n",
" <momentum>\n",
" <name>-l1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop2\">\n",
" <name>e_minus</name>\n",
" <source>Vert1</source>\n",
" <target>Vert3</target>\n",
" <momentum>\n",
" <name>-l1+p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop3\">\n",
" <name>e_minus</name>\n",
" <source>Vert4</source>\n",
" <target>Vert2</target>\n",
" <momentum>\n",
" <name>-l1+p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop4\">\n",
" <name>e_minus</name>\n",
" <source>Vert3</source>\n",
" <target>Vert4</target>\n",
" <momentum>\n",
" <name>-l1-l2+p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop5\">\n",
" <name>gamma</name>\n",
" <source>Vert4</source>\n",
" <target>Vert3</target>\n",
" <momentum>\n",
" <name>-l2</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
"\n",
" </diagram>\n",
" \n",
" <diagram\n",
" id=\"Diagram16\"\n",
" incoming=\"1\"\n",
" outgoing=\"1\"\n",
" sign=\"+\"\n",
" symmmetry_factor=\"1\"\n",
" >\n",
"\n",
"\n",
" <vertex id=\"Vert1\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert2\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert3\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert4\">\n",
" </vertex>\n",
"\n",
"\n",
"\n",
" <leg id=\"In1\">\n",
" <name>nu_e</name>\n",
" <sense>incoming</sense>\n",
" <target>Vert1</target>\n",
" <momentum>\n",
" <name>p1</name>\n",
" </momentum>\n",
" </leg>\n",
"\n",
"\n",
"\n",
" <leg id=\"Out1\">\n",
" <name>nu_e</name>\n",
" <sense>outgoing</sense>\n",
" <target>Vert2</target>\n",
" <momentum>\n",
" <name>p1</name>\n",
" </momentum>\n",
" </leg>\n",
"\n",
"\n",
"\n",
" <propagator id=\"Prop1\">\n",
" <name>W_minus</name>\n",
" <source>Vert2</source>\n",
" <target>Vert1</target>\n",
" <momentum>\n",
" <name>-l1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop2\">\n",
" <name>e_minus</name>\n",
" <source>Vert1</source>\n",
" <target>Vert3</target>\n",
" <momentum>\n",
" <name>-l1+p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop3\">\n",
" <name>e_minus</name>\n",
" <source>Vert4</source>\n",
" <target>Vert2</target>\n",
" <momentum>\n",
" <name>-l1+p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop4\">\n",
" <name>e_minus</name>\n",
" <source>Vert3</source>\n",
" <target>Vert4</target>\n",
" <momentum>\n",
" <name>-l1-l2+p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop5\">\n",
" <name>Z_0</name>\n",
" <source>Vert4</source>\n",
" <target>Vert3</target>\n",
" <momentum>\n",
" <name>-l2</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
"\n",
" </diagram>\n",
" \n",
" <diagram\n",
" id=\"Diagram17\"\n",
" incoming=\"1\"\n",
" outgoing=\"1\"\n",
" sign=\"+\"\n",
" symmmetry_factor=\"1\"\n",
" >\n",
"\n",
"\n",
" <vertex id=\"Vert1\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert2\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert3\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert4\">\n",
" </vertex>\n",
"\n",
"\n",
"\n",
" <leg id=\"In1\">\n",
" <name>nu_e</name>\n",
" <sense>incoming</sense>\n",
" <target>Vert1</target>\n",
" <momentum>\n",
" <name>p1</name>\n",
" </momentum>\n",
" </leg>\n",
"\n",
"\n",
"\n",
" <leg id=\"Out1\">\n",
" <name>nu_e</name>\n",
" <sense>outgoing</sense>\n",
" <target>Vert2</target>\n",
" <momentum>\n",
" <name>p1</name>\n",
" </momentum>\n",
" </leg>\n",
"\n",
"\n",
"\n",
" <propagator id=\"Prop1\">\n",
" <name>W_minus</name>\n",
" <source>Vert2</source>\n",
" <target>Vert1</target>\n",
" <momentum>\n",
" <name>-l1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop2\">\n",
" <name>e_minus</name>\n",
" <source>Vert1</source>\n",
" <target>Vert3</target>\n",
" <momentum>\n",
" <name>-l1+p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop3\">\n",
" <name>e_minus</name>\n",
" <source>Vert4</source>\n",
" <target>Vert2</target>\n",
" <momentum>\n",
" <name>-l1+p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop4\">\n",
" <name>nu_e</name>\n",
" <source>Vert3</source>\n",
" <target>Vert4</target>\n",
" <momentum>\n",
" <name>-l1-l2+p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop5\">\n",
" <name>W_minus</name>\n",
" <source>Vert3</source>\n",
" <target>Vert4</target>\n",
" <momentum>\n",
" <name>l2</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
"\n",
" </diagram>\n",
" \n",
" <diagram\n",
" id=\"Diagram18\"\n",
" incoming=\"1\"\n",
" outgoing=\"1\"\n",
" sign=\"+\"\n",
" symmmetry_factor=\"1\"\n",
" >\n",
"\n",
"\n",
" <vertex id=\"Vert1\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert2\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert3\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert4\">\n",
" </vertex>\n",
"\n",
"\n",
"\n",
" <leg id=\"In1\">\n",
" <name>nu_e</name>\n",
" <sense>incoming</sense>\n",
" <target>Vert1</target>\n",
" <momentum>\n",
" <name>p1</name>\n",
" </momentum>\n",
" </leg>\n",
"\n",
"\n",
"\n",
" <leg id=\"Out1\">\n",
" <name>nu_e</name>\n",
" <sense>outgoing</sense>\n",
" <target>Vert2</target>\n",
" <momentum>\n",
" <name>p1</name>\n",
" </momentum>\n",
" </leg>\n",
"\n",
"\n",
"\n",
" <propagator id=\"Prop1\">\n",
" <name>Z_0</name>\n",
" <source>Vert2</source>\n",
" <target>Vert1</target>\n",
" <momentum>\n",
" <name>-l1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop2\">\n",
" <name>nu_e</name>\n",
" <source>Vert1</source>\n",
" <target>Vert3</target>\n",
" <momentum>\n",
" <name>-l1+p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop3\">\n",
" <name>nu_e</name>\n",
" <source>Vert4</source>\n",
" <target>Vert2</target>\n",
" <momentum>\n",
" <name>-l1+p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop4\">\n",
" <name>e_minus</name>\n",
" <source>Vert3</source>\n",
" <target>Vert4</target>\n",
" <momentum>\n",
" <name>-l1-l2+p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop5\">\n",
" <name>W_minus</name>\n",
" <source>Vert4</source>\n",
" <target>Vert3</target>\n",
" <momentum>\n",
" <name>-l2</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
"\n",
" </diagram>\n",
" \n",
" <diagram\n",
" id=\"Diagram19\"\n",
" incoming=\"1\"\n",
" outgoing=\"1\"\n",
" sign=\"+\"\n",
" symmmetry_factor=\"1\"\n",
" >\n",
"\n",
"\n",
" <vertex id=\"Vert1\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert2\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert3\">\n",
" </vertex>\n",
"\n",
" <vertex id=\"Vert4\">\n",
" </vertex>\n",
"\n",
"\n",
"\n",
" <leg id=\"In1\">\n",
" <name>nu_e</name>\n",
" <sense>incoming</sense>\n",
" <target>Vert1</target>\n",
" <momentum>\n",
" <name>p1</name>\n",
" </momentum>\n",
" </leg>\n",
"\n",
"\n",
"\n",
" <leg id=\"Out1\">\n",
" <name>nu_e</name>\n",
" <sense>outgoing</sense>\n",
" <target>Vert2</target>\n",
" <momentum>\n",
" <name>p1</name>\n",
" </momentum>\n",
" </leg>\n",
"\n",
"\n",
"\n",
" <propagator id=\"Prop1\">\n",
" <name>Z_0</name>\n",
" <source>Vert2</source>\n",
" <target>Vert1</target>\n",
" <momentum>\n",
" <name>-l1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop2\">\n",
" <name>nu_e</name>\n",
" <source>Vert1</source>\n",
" <target>Vert3</target>\n",
" <momentum>\n",
" <name>-l1+p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop3\">\n",
" <name>nu_e</name>\n",
" <source>Vert4</source>\n",
" <target>Vert2</target>\n",
" <momentum>\n",
" <name>-l1+p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop4\">\n",
" <name>nu_e</name>\n",
" <source>Vert3</source>\n",
" <target>Vert4</target>\n",
" <momentum>\n",
" <name>-l1-l2+p1</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
" <propagator id=\"Prop5\">\n",
" <name>Z_0</name>\n",
" <source>Vert4</source>\n",
" <target>Vert3</target>\n",
" <momentum>\n",
" <name>-l2</name>\n",
" </momentum>\n",
" </propagator>\n",
"\n",
"\n",
" </diagram>\n",
"</feynml>\n",
"\n",
"<!-- end -->\n",
"\n"
]
}
],
"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
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"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
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}