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<body>
<header id="title-block-header">
<h1 class="title">FeynRules manual (development version)</h1>
</header>
<h2 id="euler-heisenberg-lagrangian-model-for-feynarts">Euler-Heisenberg
Lagrangian model for FeynArts</h2>
<h3 id="load-feynrules">Load FeynRules</h3>
<div class="sourceCode" id="cb1"><pre
class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb1-1"><a href="#cb1-1" aria-hidden="true" tabindex="-1"></a>FR$Parallel <span class="ex">=</span> <span class="cn">False</span>;</span>
<span id="cb1-2"><a href="#cb1-2" aria-hidden="true" tabindex="-1"></a>$FeynRulesPath <span class="ex">=</span> <span class="fu">FileNameJoin</span><span class="op">[{</span><span class="va">$UserBaseDirectory</span><span class="op">,</span> <span class="st">&quot;Applications&quot;</span><span class="op">,</span> <span class="st">&quot;FeynRules&quot;</span><span class="op">}]</span>;</span>
<span id="cb1-3"><a href="#cb1-3" aria-hidden="true" tabindex="-1"></a>&lt;&lt; FeynRules`;</span></code></pre></div>
<p><span class="math display">\text{ - FeynRules - }</span></p>
<p><span class="math display">\text{Version: }\;\text{2.3.49}\;\text{ (}
\;\text{29 September 2021}\;\text{).}</span></p>
<p><span class="math display">\text{Authors: A. Alloul, N. Christensen,
C. Degrande, C. Duhr, B. Fuks}</span></p>
<p>$$$$</p>
<p><span class="math display">\text{Please cite:}</span></p>
<p><span class="math display">\text{ -
Comput.Phys.Commun.185:2250-2300,2014 (arXiv:1310.1921);}</span></p>
<p><span class="math display">\text{ -
Comput.Phys.Commun.180:1614-1641,2009 (arXiv:0806.4194).}</span></p>
<p>$$$$</p>
<p><span
class="math display">\text{http://feynrules.phys.ucl.ac.be}</span></p>
<p>$$$$</p>
<p><span class="math display">\text{The FeynRules palette can be opened
using the command FRPalette[].}</span></p>
<h3 id="load-feynrules-model">Load FeynRules model</h3>
<div class="sourceCode" id="cb2"><pre
class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb2-1"><a href="#cb2-1" aria-hidden="true" tabindex="-1"></a><span class="fu">If</span><span class="op">[</span><span class="va">$FrontEnd</span> <span class="ex">===</span> <span class="cn">Null</span><span class="op">,</span> </span>
<span id="cb2-2"><a href="#cb2-2" aria-hidden="true" tabindex="-1"></a> nbDir <span class="ex">=</span> <span class="fu">DirectoryName</span><span class="op">[</span><span class="va">$InputFileName</span><span class="op">],</span> </span>
<span id="cb2-3"><a href="#cb2-3" aria-hidden="true" tabindex="-1"></a> nbDir <span class="ex">=</span> <span class="fu">NotebookDirectory</span><span class="op">[]</span> </span>
<span id="cb2-4"><a href="#cb2-4" aria-hidden="true" tabindex="-1"></a> <span class="op">]</span>;</span></code></pre></div>
<div class="sourceCode" id="cb3"><pre
class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb3-1"><a href="#cb3-1" aria-hidden="true" tabindex="-1"></a>frModelPath <span class="ex">=</span> <span class="fu">FileNameJoin</span><span class="op">[{</span>nbDir<span class="op">,</span> <span class="st">&quot;EulerHeisenberg.fr&quot;</span><span class="op">}]</span>;</span>
<span id="cb3-2"><a href="#cb3-2" aria-hidden="true" tabindex="-1"></a>LoadModel<span class="op">[</span>frModelPath<span class="op">]</span>;</span></code></pre></div>
<p><span class="math display">\text{This model implementation was
created by}</span></p>
<p><span class="math display">\text{Vladyslav Shtabovenko}</span></p>
<p><span class="math display">\text{Model Version: }0</span></p>
<p><span class="math display">\text{For more information, type
ModelInformation[].}</span></p>
<p><span class="math display">\text{}</span></p>
<p><span class="math display">\text{ - Loading particle
classes.}</span></p>
<p><span class="math display">\text{ - Loading gauge group
classes.}</span></p>
<p><span class="math display">\text{ - Loading parameter
classes.}</span></p>
<p><span class="math display">\text{$\backslash $nModel
}\;\text{Euler-Heisenberg Effective Field Theory}\;\text{
loaded.}</span></p>
<h3 id="create-feynarts-model">Create FeynArts model</h3>
<div class="sourceCode" id="cb4"><pre
class="sourceCode mathematica"><code class="sourceCode mathematica"><span id="cb4-1"><a href="#cb4-1" aria-hidden="true" tabindex="-1"></a><span class="fu">SetDirectory</span><span class="op">[</span><span class="fu">FileNameJoin</span><span class="op">[{</span><span class="va">$UserBaseDirectory</span><span class="op">,</span> <span class="st">&quot;Applications&quot;</span><span class="op">,</span> <span class="st">&quot;FeynCalc&quot;</span><span class="op">,</span> <span class="st">&quot;FeynArts&quot;</span><span class="op">,</span> <span class="st">&quot;Models&quot;</span><span class="op">}]]</span>;</span>
<span id="cb4-2"><a href="#cb4-2" aria-hidden="true" tabindex="-1"></a>WriteFeynArtsOutput<span class="op">[</span>LEH<span class="op">,</span> Output <span class="ot">-&gt;</span> <span class="st">&quot;EulerHeisenberg&quot;</span><span class="op">,</span> CouplingRename <span class="ot">-&gt;</span> <span class="cn">False</span><span class="op">]</span>;</span></code></pre></div>
<p><span class="math display">\text{ - - - FeynRules interface to
FeynArts - - -}</span></p>
<p><span class="math display">\text{ C. Degrande C. Duhr,
2013}</span></p>
<p><span class="math display">\text{ Counterterms: B. Fuks,
2012}</span></p>
<p><span class="math display">\text{Calculating Feynman rules for
}\;\text{L1}</span></p>
<p><span class="math display">\text{Starting Feynman rules calculation
for L1.}</span></p>
<p><span class="math display">\text{Expanding the
Lagrangian...}</span></p>
<p><span class="math display">\text{Collecting the different structures
that enter the vertex.}</span></p>
<p><span class="math display">1\text{ possible non-zero vertices have
been found -$&gt;$ starting the computation: }\;\text{FeynRules$\grave{
}$FR\$FeynmanRules}\;\text{ / }1.</span></p>
<p><span class="math display">\text{1 vertex obtained.}</span></p>
<p><span class="math display">\text{mytimecheck,after LGC}</span></p>
<p><span class="math display">\text{Writing FeynArts model file into
directory }\;\text{EulerHeisenberg}</span></p>
<p><span class="math display">\text{Writing FeynArts generic file on
}\;\text{EulerHeisenberg.gen}.</span></p>
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