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\begin{document}


\section{Model description}
This file contains the Feynman rules for the model \verb+QED+.
The Feynman rules have been generated automatically by FeynRules2.3.49.

\subsection{Model information}

Author(s) of the model file: \\
\indent Lucas Heck\\
Institution(s):\\
\indent UFABC\\
Emails:\\
\indent lucas.heck@ufabc.edu.br\\
Date: {01.12.2025}\\

\subsection{Index description}

No Indices defined.

\subsection{Particle content of the model}

\begin{enumerate}
\item 
\begin{tabular}{ll}
Class: V(1) = $ A $, &  Fieldtype: Real Vectorfield.\\ 
\multicolumn{2}{l}{Indices: Lorentz.}\\ 
\end{tabular}
\item 
\begin{tabular}{ll}
Class: F(1) = $ e $, &  Fieldtype: Dirac Field.\\ 
\multicolumn{2}{l}{Indices: Spin.}\\ 
\end{tabular}
\item 
\begin{tabular}{ll}
Class: W(PRIVATE`x1000) = $ theta $, &  Fieldtype: Weyl Field (Unphysical).\\ 
\multicolumn{2}{l}{Indices: Spin1.}\\ 
\end{tabular}
\item 
\begin{tabular}{ll}
Class: W(PRIVATE`x1001) = $ eps0 $, &  Fieldtype: Weyl Field (Unphysical).\\ 
\multicolumn{2}{l}{Indices: Spin1.}\\ 
\end{tabular}
\item 
\begin{tabular}{ll}
Class: W(PRIVATE`x1002) = $ eps1 $, &  Fieldtype: Weyl Field (Unphysical).\\ 
\multicolumn{2}{l}{Indices: Spin1.}\\ 
\end{tabular}
\item 
\begin{tabular}{ll}
Class: W(PRIVATE`x1003) = $ eps2 $, &  Fieldtype: Weyl Field (Unphysical).\\ 
\multicolumn{2}{l}{Indices: Spin1.}\\ 
\end{tabular}
\item 
\begin{tabular}{ll}
Class: W(PRIVATE`x1004) = $ eps3 $, &  Fieldtype: Weyl Field (Unphysical).\\ 
\multicolumn{2}{l}{Indices: Spin1.}\\ 
\end{tabular}
\item 
\begin{tabular}{ll}
Class: W(PRIVATE`x1005) = $ eps4 $, &  Fieldtype: Weyl Field (Unphysical).\\ 
\multicolumn{2}{l}{Indices: Spin1.}\\ 
\end{tabular}
\item 
\begin{tabular}{ll}
Class: W(PRIVATE`x1006) = $ eps5 $, &  Fieldtype: Weyl Field (Unphysical).\\ 
\multicolumn{2}{l}{Indices: Spin1.}\\ 
\end{tabular}
\item 
\begin{tabular}{ll}
Class: W(PRIVATE`x1007) = $ eps6 $, &  Fieldtype: Weyl Field (Unphysical).\\ 
\multicolumn{2}{l}{Indices: Spin1.}\\ 
\end{tabular}
\item 
\begin{tabular}{ll}
Class: W(PRIVATE`x1008) = $ eps7 $, &  Fieldtype: Weyl Field (Unphysical).\\ 
\multicolumn{2}{l}{Indices: Spin1.}\\ 
\end{tabular}
\item 
\begin{tabular}{ll}
Class: W(PRIVATE`x1009) = $ eps8 $, &  Fieldtype: Weyl Field (Unphysical).\\ 
\multicolumn{2}{l}{Indices: Spin1.}\\ 
\end{tabular}
\item 
\begin{tabular}{ll}
Class: W(PRIVATE`x1010) = $ eps9 $, &  Fieldtype: Weyl Field (Unphysical).\\ 
\multicolumn{2}{l}{Indices: Spin1.}\\ 
\end{tabular}
\end{enumerate}


%%
%% The Vertices
%%
\section{Vertices}

\subsection{ 3-point vertices}

\begin{itemize}
\item
Vertex $\{e+, 1\} $, $\{e-, 2\} $, $\{A, 3\} $
\begin{respr}
-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big) \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}\overset{-}{e}_{\text{a1}} \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}e_{\text{b1}}-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big) \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}e_{\text{b1}} \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}\overset{-}{e}_{\text{a1}}+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}\overset{-}{e}_{\text{a1}} \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}e_{\text{b1}} \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}A_{\text{$\alpha $1}}+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}e_{\text{b1}} \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}\overset{-}{e}_{\text{a1}} \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}A_{\text{$\alpha $1}}-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big) \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}\overset{-}{e}_{\text{a1}} \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}e_{\text{b1}}+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}\overset{-}{e}_{\text{a1}} \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}A_{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}e_{\text{b1}}-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big) \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}\overset{-}{e}_{\text{a1}} \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}e_{\text{b1}}+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}A_{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}\overset{-}{e}_{\text{a1}} \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}e_{\text{b1}}-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big) \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}e_{\text{b1}} \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}\overset{-}{e}_{\text{a1}}+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}e_{\text{b1}} \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}A_{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}\overset{-}{e}_{\text{a1}}-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big) \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}e_{\text{b1}} \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}\overset{-}{e}_{\text{a1}}+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}A_{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}e_{\text{b1}} \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}\overset{-}{e}_{\text{a1}}+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big) \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}\overset{-}{e}_{\text{a1}} e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}\overset{-}{e}_{\text{a1}} \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}A_{\text{$\alpha $1}} e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big) \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}\overset{-}{e}_{\text{a1}} e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}A_{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}\overset{-}{e}_{\text{a1}} e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big) \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}\overset{-}{e}_{\text{a1}} e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}\overset{-}{e}_{\text{a1}} \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}A_{\text{$\alpha $1}} e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big) \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}\overset{-}{e}_{\text{a1}} e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}A_{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}\overset{-}{e}_{\text{a1}} e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big) \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}\overset{-}{e}_{\text{a1}} e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}\overset{-}{e}_{\text{a1}} \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}A_{\text{$\alpha $1}} e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big) \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}\overset{-}{e}_{\text{a1}} e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}A_{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}\overset{-}{e}_{\text{a1}} e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big) \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}e_{\text{b1}} \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}e_{\text{b1}} \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}A_{\text{$\alpha $1}} \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big) \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}e_{\text{b1}} \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}A_{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}e_{\text{b1}} \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big) e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big) \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}A_{\text{$\alpha $1}} e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big) \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big) e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big) \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}A_{\text{$\alpha $1}} e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big) \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big) \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}e_{\text{b1}} \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}e_{\text{b1}} \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}A_{\text{$\alpha $1}} \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big) \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}e_{\text{b1}} \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}A_{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}e_{\text{b1}} \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big) e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big) \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\text{**}A_{\text{$\alpha $1}} e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big) \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big) e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big) \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}A_{\text{$\alpha $1}} e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big) \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big) \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}e_{\text{b1}} \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}e_{\text{b1}} \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}A_{\text{$\alpha $1}} \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big) \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}e_{\text{b1}} \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}A_{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}e_{\text{b1}} \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big) e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big) \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big)\text{**}A_{\text{$\alpha $1}} e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big) \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)-i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} A_{\text{$\alpha $1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big) e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big) \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)+i e \gamma _{\text{a1},\text{b1}}{}^{\text{$\alpha $1}} \text{PRIVATE$\grave{ }$crea}\big(A,\big\{\mu _3\big\},3\big)\text{**}A_{\text{$\alpha $1}} e_{\text{b1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(e,\big\{\text{s}_2\big\},2\big) \overset{-}{e}_{\text{a1}}\text{**}\text{PRIVATE$\grave{ }$crea}\big(\overset{-}{e},\big\{\text{s}_1\big\},1\big)\end{respr}
\end{itemize}


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