TikZ-Feynman

TikZ-Feynman is a LaTeX package allowing Feynman diagrams to be easily generated within LaTeX with minimal user instructions and without the need of external programs. It builds upon the TikZ package and leverages the graph placement algorithms from TikZ in order to automate the placement of many vertices. TikZ-Feynman still allows fine-tuned placement of vertices so that even complex diagrams can still be generated with ease.

TikZ-Feynman is made available through the Comprehensive TeX Archive Network (CTAN) and comes with some thorough documentation containing a tutorial and many examples. If you use TikZ-Feynman, please cite:

Ellis, Joshua P. “TikZ-Feynman: Feynman diagrams with TikZ.” Computer Physics Communications 210 (2017): 103-123. doi:10.1016/j.cpc.2016.08.019 arXiV:1601.05437

TikZ-Feynman is open source and contribution are welcome. If you have any suggestions, feature requests, or have found any bugs, feel free to create a new issue or pull request on Github.

Examples

Feynman diagram of two electrons scattering through the exchange of a photon.

LaTeX
	\feynmandiagram [horizontal=a to b] {
	  i1 -- [fermion] a -- [fermion] i2,
	  a -- [photon] b,
	  f1 -- [fermion] b -- [fermion] f2,
	};

'Penguin' feynman diagram showcasing the use of momentum arrows.

latex
	\feynmandiagram [large, vertical=e to f] {
	  a -- [fermion] b -- [photon, momentum=\(k\)] c -- [fermion] d,
	  b -- [fermion, momentum'=\(p_{1}\)] e -- [fermion, momentum'=\(p_{2}\)] c,
	  e -- [gluon]  f,
	  h -- [fermion] f -- [fermion] i;
	};

Feynman diagram of a B meson decaying to π⁺π⁻

latex
	\begin{tikzpicture}
	  \begin{feynman}
	    \vertex (a1) {\(\overline b\)};
	    \vertex[right=1cm of a1] (a2);
	    \vertex[right=1cm of a2] (a3);
	    \vertex[right=1cm of a3] (a4) {\(b\)};
	    \vertex[right=1cm of a4] (a5);
	    \vertex[right=2cm of a5] (a6) {\(u\)};
	
	    \vertex[below=2em of a1] (b1) {\(d\)};
	    \vertex[right=1cm of b1] (b2);
	    \vertex[right=1cm of b2] (b3);
	    \vertex[right=1cm of b3] (b4) {\(\overline d\)};
	    \vertex[below=2em of a6] (b5) {\(\overline d\)};
	
	    \vertex[above=of a6] (c1) {\(\overline u\)};
	    \vertex[above=2em of c1] (c3) {\(d\)};
	    \vertex at ($(c1)!0.5!(c3) - (1cm, 0)$) (c2);
	
	    \diagram* {
	      {[edges=fermion]
	        (b1) -- (b2) -- (a2) -- (a1),
	        (b5) -- (b4) -- (b3) -- (a3) -- (a4) -- (a5) -- (a6),
	      },
	      (a2) -- [boson, edge label=\(W\)] (a3),
	      (b2) -- [boson, edge label'=\(W\)] (b3),
	
	      (c1) -- [fermion, out=180, in=-45] (c2) -- [fermion, out=45, in=180] (c3),
	      (a5) -- [boson, bend left, edge label=\(W^{-}\)] (c2),
	    };
	
	    \draw [decoration={brace}, decorate] (b1.south west) -- (a1.north west)
	          node [pos=0.5, left] {\(B^{0}\)};
	    \draw [decoration={brace}, decorate] (c3.north east) -- (c1.south east)
	          node [pos=0.5, right] {\(\pi^{-}\)};
	    \draw [decoration={brace}, decorate] (a6.north east) -- (b5.south east)
	          node [pos=0.5, right] {\(\pi^{+}\)};
	
	  \end{feynman}
	\end{tikzpicture}
© 2023 Joshua P. Ellis
This work is licensed under CC BY 4.0