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-rw-r--r--Master/texmf-dist/doc/latex/tikz-feynhand/README.md48
-rw-r--r--Master/texmf-dist/doc/latex/tikz-feynhand/changes.txt281
-rw-r--r--Master/texmf-dist/doc/latex/tikz-feynhand/shell_escape.jpgbin0 -> 48826 bytes
-rw-r--r--Master/texmf-dist/doc/latex/tikz-feynhand/tikz-feynhand.userguide.pdfbin0 -> 328649 bytes
-rw-r--r--Master/texmf-dist/doc/latex/tikz-feynhand/tikz-feynhand.userguide.tex2122
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diff --git a/Master/texmf-dist/doc/latex/tikz-feynhand/README.md b/Master/texmf-dist/doc/latex/tikz-feynhand/README.md
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+
+The package Tikz-FeynHand https://ctan.org/pkg/tikz-feynhand let's you draw Feynman diagrams using TikZ.
+
+It is a low-end modification of the package TikZ-Feynman at https://ctan.org/pkg/tikz-feynman,
+one of whose principal advantages is the automatic generation of diagrams, for which it needs LuaTex.
+FeynHand only provides the manual mode and hence runs in LaTex without any reference to LuaTex.
+
+In addition it provides some NEW STYLES for vertices and propagators,
+alternative SHORTER KEYWORDS in addition to TikZ-Feynman's longer ones,
+some shortcut commands for QUICKLY CUSTOMIZING the diagrams' look,
+and the new feature to put one propagator "ON TOP" of another.
+
+It also includes a quick USER GUIDE for getting started,
+with many examples and a 5-minute introduction to TikZ.
+
+
+
+ FILES
+-------
+
+1. tikz-feynhand.sty - the tex style file of the package
+2. tikzlibraryfeynhand.code.tex - code file
+3. tikzfeynhand.keys.code.tex - defines Tikz keys
+4. tikz-feynhand.userguide.pdf - a userguide for the package
+5. tikz-feynhand.userguide.tex - the tex source of the userguide
+6. changes.txt - lists changes applied to Tikz-Feynman to obtain Tikz-FeynHand
+7. shell_escape.jpg - a TexWorks screenshot for the userguide
+8. README.md - this file
+
+
+
+LICENSE
+-------
+
+Copyright (C) 2018 Max Dohse
+Copyright (C) 2016 Joshua Ellis
+
+This whole package (code and documentation)
+may be redistributed and/or modified under the terms of the
+GNU General Public License as published by the Free Software Foundation, either
+version 3 of the License, or (at your option) any later version.
+
+This work has the LPPL maintenance status `maintained'.
+
+The Current Maintainer of this work is Max Dohse.
+
+This package is distributed in the hope that it will be useful, but WITHOUT ANY WARRANTY;
+without even the implied warranty of MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.
diff --git a/Master/texmf-dist/doc/latex/tikz-feynhand/changes.txt b/Master/texmf-dist/doc/latex/tikz-feynhand/changes.txt
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index 00000000000..0b2d01e4c82
--- /dev/null
+++ b/Master/texmf-dist/doc/latex/tikz-feynhand/changes.txt
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+LIST OF CHANGES
+
+by which this package tikz-feynhand (Version 1.0.0 of 2018/01/31)
+which is available at https://ctan.org/pkg/tikz-feynhand
+
+was obtained from the original package tikz-feynman (Version 1.1.0 of 2016/02/05)
+which is available at https://ctan.org/pkg/tikz-feynman
+
+==========================================================================
+
+The LICENSE has been changed from LPPL to GNU General Public Licence v3.
+
+The changes are rather minor:
+any reference to LuaTex has been removed,
+the definitions that are unnecessary
+for manual diagram creation have been removed,
+and some drawing styles have been added.
+
+In general, I REPLACED each occurence of the string "feynman" by "feynhand",
+in order to avoid clashes when both packages are loaded simultaneously,
+and most of these replacements are NOT listed individually below.
+Apart from that, the list below contains all changes to the best of my knowledge.
+
+The files tikzfeynman.patch.3.0.0.lua and tikzfeynman.patch.3.0.1.lua
+of the original package are not contained in the modified package,
+neither is the documentation of the original package.
+
+All file names and line numbers below refer to
+the files of the original package tikz-feynman (Version 1.1.0 of 2016/02/05).
+
+==============================================
+ FILE: tikz-feynman.sty
+
++ general: package name changed
++ line 32: removed \RequirePackage{ifluatex}
+
+==============================================
+ FILE: tikzlibraryfeynman.code.tex
+
++ line 33: removed graphs,
++ lines 38-48: removed \ifluatex ...
++ lines 69-84: removed %Luatex warning ...
++ lines 119-141: removed %% Override Lua ...
++ line 159: removed \let\tikzfeynman@orig@graph=\graph
++ lines 162+163: removed, inserted:
+ \let\propag=\tikzfeynhand@commands@propag
+ \let\propag=\propagator
++ line 166: removed \tikz@lib@ignore@sizetrue
++ lines 181-190: removed %% \feynmandiagram ...
++ lines 266-282: removed %% Diagram ...
++ lines 284-291: removed %% Graph ...
+ inserted:
+ %% Propagators
+ \newcommand{\tikzfeynhand@commands@propag}[1][]{\draw [#1]}
++ line 321: removed \pgfkeyslet{/tikzfeynman/rmomentum/.@cmd}...
++ line 327: removed \pgfkeyslet{/tikzfeynman/rmomentum'/.@cmd}...
+ inserted:
+ % short versions of momentum styles
+ \pgfkeyslet{/tikzfeynhand/rmomentum/.@cmd}{\tikzfeynhand@momentum@stdr}
+ \pgfkeyslet{/tikzfeynhand/rmomentum'/.@cmd}{\tikzfeynhand@momentum@stdrp}
+
+ \pgfkeyslet{/tikzfeynhand/mom/.@cmd}{\tikzfeynhand@momentum@std}
+ \pgfkeyslet{/tikzfeynhand/mom'/.@cmd}{\tikzfeynhand@momentum@stdp}
+
+ \pgfkeyslet{/tikzfeynhand/revmom/.@cmd}{\tikzfeynhand@momentum@stdr}
+ \pgfkeyslet{/tikzfeynhand/revmom'/.@cmd}{\tikzfeynhand@momentum@stdrp}
+
+
+==============================================
+ FILE: tikzfeynman.keys.code.tex
+
++ line 22: inserted
+ %% Lengths
+ \newlength{\feynhanddotsize}
+ \setlength{\feynhanddotsize}{1.5mm}
+
+ \newlength{\feynhandblobsize}
+ \setlength{\feynhandblobsize}{7.5mm}
+
+ \newlength{\feynhandlinesize}
+ \setlength{\feynhandlinesize}{0.5pt}
+
+ \newlength{\feynhandarrowsize}
+ \setlength{\feynhandarrowsize}{6pt}
+
+ \newlength{\feynhandtopsep}
+ \setlength{\feynhandtopsep}{18\feynhandlinesize}
+
+ %% Colors
+ \newcommand{\feynhandtopsepcolor}{white}
+
+
++ line 117: replaced \pgfmetadecorationsegmentamplitude
+ by 3 * \feynhandlinesize
++ line 141: removed /tikzfeynman/medium,
++ lines 145-206: removed %% Diagrams ...
++ line 219, 258, 280:
+ each removed /tikz/graphs/as={},
++ line 224: replaced /tikz/minimum size=1.5mm,
+ by /tikz/minimum size=\feynhanddotsize,
++ line 225, 264, 337, 348:
+ each inserted /tikz/line width = \feynhandlinesize,
++ lines 230-236: replaced every occurrence of square dot
+ by squaredot
++ lines 238-245: replaced every occurrence of empty dot
+ by ringdot
++ lines 230-236: replaced every occurrence of crossed dot
+ by crossdot
++ line 249: replaced /tikz/minimum size=3mm,
+ by /tikz/minimum size=2\feynhanddotsize,
++ line 260: replaced /tikz/fill=none,
+ by /tikz/fill,
++ lines 261+275:
+ each replaced /tikz/outer sep=0.5\pgflinewidth,
+ by /tikz/outer sep={0.5*\the\feynhandlinesize},
++ line 263: replaced /tikz/minimum size=0.75cm,
+ by /tikz/minimum size=\feynhandblobsize,
++ line 264: removed /tikz/pattern=north west lines,
++ line 269: inserted /tikz/fill=black,
++ line 270: inserted
+ every ringblob@@/.style={
+ },
+ every ringblob/.style={/tikzfeynhand/every ringblob@@/.append style={#1}},
+ ringblob/.style={
+ /tikzfeynhand/every blob@@,
+ /tikzfeynhand/every ringblob@@,
+ /tikz/fill=white,
+ },
+ every NWblob@@/.style={
+ },
+ every NWblob/.style={/tikzfeynhand/every NWblob@@/.append style={#1}},
+ NWblob/.style={
+ /tikzfeynhand/every blob@@,
+ /tikzfeynhand/every NWblob@@,
+ /tikz/fill=none,
+ /tikz/pattern=north west lines,
+ },
+ every NEblob@@/.style={
+ },
+ every NEblob/.style={/tikzfeynhand/every NEblob@@/.append style={#1}},
+ NEblob/.style={
+ /tikzfeynhand/every blob@@,
+ /tikzfeynhand/every NEblob@@,
+ /tikz/fill=none,
+ /tikz/pattern=north east lines,
+ },
+ every grayblob@@/.style={
+ },
+ every grayblob/.style={/tikzfeynhand/every grayblob@@/.append style={#1}},
+ grayblob/.style={
+ /tikzfeynhand/every blob@@,
+ /tikzfeynhand/every grayblob@@,
+ /tikz/fill=gray!50!white,
+ },
++ line 288: replaced arrow size=1.5pt,
+ by arrow size=\feynhandarrowsize,
++ line 295: replaced xshift...
+ by xshift=-0.166666\feynhandarrowsize,
++ line 297: replaced inner sep=\tikzfeynman@arrow@size,
+ by inner sep=0mm,
+ minimum width = \tikzfeynhand@arrow@size,
++ line 309: replaced xshift...
+ by xshift=0.166666\feynhandarrowsize,
++ line 316: replaced inner sep=\tikzfeynman@arrow@size,
+ by inner sep=0mm,
+ minimum width = \tikzfeynhand@arrow@size,
++ line 343: inserted
+ every top@@/.style={
+ /tikz/preaction={draw=\feynhandtopsepcolor,line width=\feynhandtopsep}
+ },
+ every top/.style={/tikzfeynhand/every top@@/.append style={#1}},
+ top/.style={
+ /tikzfeynhand/every top@@,
+ },
+
++ lines 350-352: replaced amplitude= ...
+ by amplitude=3\feynhandlinesize,
+ segment length=7.5\feynhandlinesize,
++ line 381: inserted /tikz/line width = \feynhandlinesize,
++ lines 383-384: replaced amplitude= ...
+ by amplitude=3\feynhandlinesize,
+ segment length=7.5\feynhandlinesize,
++ line 399: inserted /tikz/line width = \feynhandlinesize,
++ line 435 replaced /tikz/thick,
+ by /tikz/line width = 2\feynhandlinesize,
++ line 442: inserted
+ every charged ghost@@/.style={
+ /tikz/draw=none,
+ /tikz/decoration={name=none},
+ /tikz/postaction={
+ /tikzfeynhand/with arrow=0.5,
+ },
+ },
+ every charged ghost/.style={/tikzfeynhand/every charged ghost@@/.append style={#1}},
+ charged ghost/.style={
+ /tikzfeynhand/ghost,
+ /tikzfeynhand/every charged ghost@@,
+ },
+ every anti charged ghost@@/.style={
+ /tikz/draw=none,
+ /tikz/decoration={name=none},
+ /tikz/postaction={
+ /tikzfeynhand/with reversed arrow=0.5,
+ },
+ },
+ every anti charged ghost/.style={/tikzfeynhand/every anti charged ghost@@/.append style={#1}},
+ anti charged ghost/.style={
+ /tikzfeynhand/ghost,
+ /tikzfeynhand/every anti charged scalar@@,
+ },
+
++ line 447, 459, 473, 486, 497, 520:
+ each inserted /tikz/line width = \feynhandlinesize,
++ line 501: replaced segment length=1.5mm
+ by amplitude=3\feynhandlinesize,
+ segment length=8\feynhandlinesize
++ line 510: inserted:
+ % short versions of style names
+ pho/.style={
+ /tikzfeynhand/photon,
+ },
+ bos/.style={
+ /tikzfeynhand/boson,
+ },
+ antbos/.style={
+ /tikzfeynhand/anti charged boson,
+ },
+ chabos/.style={
+ /tikzfeynhand/charged boson,
+ },
+ sca/.style={
+ /tikzfeynhand/scalar,
+ },
+ chasca/.style={
+ /tikzfeynhand/charged scalar,
+ },
+ antsca/.style={
+ /tikzfeynhand/anti charged scalar,
+ },
+ fer/.style={
+ /tikzfeynhand/fermion,
+ },
+ antfer/.style={
+ /tikzfeynhand/anti fermion,
+ },
+ gho/.style={
+ /tikzfeynhand/ghost,
+ },
+ chagho/.style={
+ /tikzfeynhand/charged ghost,
+ },
+ antgho/.style={
+ /tikzfeynhand/anti charged ghost,
+ },
+ glu/.style={
+ /tikzfeynhand/gluon,
+ },
+ maj/.style={
+ /tikzfeynhand/majorana,
+ },
+ antmaj/.style={
+ /tikzfeynhand/anti majorana,
+ },
+
++ line 515: replaced insertion/size=3pt,
+ by insertion/size=5\feynhandlinesize,
++ line 541: replaced momentum/arrow distance=3mm,
+ by momentum/arrow distance={\the\feynhandarrowsize},
++ line 548: inserted
+ momentum/arrow thickness/.store in=\tikzfeynhand@momentum@arrow@thickness,
+ momentum/arrow thickness={0.64*\the\feynhandlinesize},
+ momentum/arrow size/.store in=\tikzfeynhand@momentum@arrow@size,
+ momentum/arrow size={0.8*\the\feynhandarrowsize},
++ lines 559, 573, 592, 613, 627, 646, 667, 681, 700, 721, 736, 756:
+ each replaced \draw [-Stealth, \tikzfeynman@momentum@arrow@style]
+ by \draw [-{Stealth[length=\tikzfeynhand@momentum@arrow@size]},
+ line width=\tikzfeynhand@momentum@arrow@thickness,
+ \tikzfeynhand@momentum@arrow@style]
++ lines 772+776: each removed /tikz/looseness=1.5,
++ lines 786-814: removed %% Graceful ...
+
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+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%
+% TikZ-FeynHand
+% Feynman Diagrams with TikZ (LaTex manual version)
+% Copyright (C) 2018 Max Dohse
+%
+% available at https://ctan.org/pkg/tikz-feynhand
+%
+% This LaTeX file is free: you can redistribute it and/or modify it under the
+% terms of the GNU General Public License as published by the Free Software
+% Foundation, either version 3 of the License, or (at your option) any later
+% version.
+%
+% This is distributed in the hope that it will be useful, but WITHOUT ANY
+% WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS FOR
+% A PARTICULAR PURPOSE. See the GNU General Public License for more details.
+%
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%
+%
+\pdfoutput=1
+\pdfcompresslevel=9
+% highest compression level for text and image (0, ..., 9)
+%
+\documentclass[10pt,letterpaper,twoside,notitlepage]{article}
+%
+% __________________________________________________________
+%
+\usepackage{amsfonts}
+\usepackage[intlimits]{amsmath}
+\usepackage{amssymb}
+\usepackage{amsxtra}
+\usepackage[dvipsnames]{xcolor}
+\usepackage{colordvi}
+\usepackage{colortbl}
+\usepackage{float}
+\usepackage{floatflt}
+\usepackage{graphicx}
+\usepackage{hhline}
+\usepackage[compat=1.1.0]{tikz-feynhand}
+\usepackage{xspace}
+\usepackage[bookmarks=true,%
+ bookmarksnumbered=true,%
+ bookmarksopen=true,%
+ allbordercolors=lime!60!white]%
+ {hyperref}
+%
+% __________________________________________________________
+%
+\providecommand{\nc}{\newcommand}
+\nc{\redcol}{\color{red!80!black}\,}
+\nc{\vercol}{\color{green!24!black}\,}
+\nc{\blucol}{\color{blue!40!black}\,}
+\nc{\brocol}{\color{red!30!black}\,}
+\nc{\txcol}{\color{black}\,\xspace}
+
+\nc{\itembf}[1][+]{\item[\textbf{#1}]}
+
+% __________________________________________________________
+%
+\setcounter{secnumdepth}{3}
+% sections etc. are numerated down to level 3 = SUBSUBSECTION
+\setcounter{tocdepth}{3}
+% table of contents lists headlines down to level 3
+
+\numberwithin{figure}{section}
+% figure numbers are in format (#section.#figure)
+
+%% ======= PAGE LAYOUT ===============================
+
+%\usepackage{showframe} % shows frames for margins
+\usepackage{geometry}
+\geometry{letterpaper,
+ top=19mm, bottom=18mm,
+ inner=20mm, outer=20mm,
+ marginparsep=2mm, marginparwidth=12mm}
+
+\setlength{\parindent}{5mm}
+% width of indentation in the first line of paragraph
+\setlength{\parskip}{0mm}
+% vertical distance separating two paragraphs
+
+%% ======= BEGIN DOCUMENT ============================
+%
+\tikzexternalize[prefix=tikzgraphics/]
+%\tikzset{external/force remake} % forces refresh of all external TikZ graphics
+%
+\begin{document}%
+%
+%
+% =====================================================================
+% ===== TITLE STUFF ===========================================
+%%
+\thispagestyle{empty}
+%
+\begin{centering}
+ \Large\bfseries%
+ TikZ-FeynHand: Basic User Guide%
+ \vspace{1mm}\\
+ \large\mdseries%
+ Max Dohse%
+ \vspace{1mm}\\
+ \normalsize%
+ \today
+ \vspace{1mm}\\
+ \small\itshape
+ Written at Instituto de F\'isica y Matem\'aticas (IFM-UMSNH),
+ Universidad Michoacana de San Nicol\'as de Hidalgo,\\
+ Edificio C-3, Ciudad Universitaria,
+ 58040 Morelia, Michoac\'an, M\'exico.
+ \vspace{1.5mm}\\
+\end{centering}
+%
+% ===== QUICK REFERENCE =============================================
+%
+\hrule
+\vspace{3mm}
+{\centering\Large\bfseries Quick Reference\\}
+%
+\noindent
+\textbf{Environment}\\
+\vercol\verb!\begin{feynhand}... \end{feynhand}!\txcol
+enclosed in \vercol\verb!\begin{tikzpicture}[OPTIONS] ... \end{tikzpicture}!\txcol\\
+OPTIONS: \vercol\verb!baseline=1cm, baseline=(v.base), node distance = 2cm!\txcol,
+no options are mandatory.
+\vspace{1.5mm}\\
+%
+\noindent
+\textbf{Vertices}\\
+\blucol\verb!\vertex (v0) at (x0,y0);!\txcol\\
+\blucol\verb!\vertex [particle] (v1) at (x1,y1) {e$^-$};!\txcol\\
+\blucol\verb!\vertex [STYLE] (v2) at (x2,y2)! \redcol\verb!{}!\blucol\verb!;!\txcol\\
+STYLE options: \blucol\verb!dot, ringdot, squaredot, crossdot, blob, blobring, blobgray, blobNW, blobNE!\txcol\\
+If STYLE option omitted/empty: nothing is drawn, vertex only defined for later use (drawing propagators).
+\vspace{1.5mm}\\
+%
+\noindent
+\textbf{Propagators}\\
+\vercol\verb!\propag [STYLE] (v1) to [EDGE] (v2);!\txcol\qquad\qquad
+(If STYLE option omitted/empty: straight line is drawn.)\\
+\vercol\verb!\graph {(v1) --[STYLE, EDGE] (v2) --[STYLE, EDGE] (v3) --[STYLE, EDGE] (v4)};!\txcol
+\\[1mm]
+Short STYLE options: \vercol\verb!fer, antfer, pho, bos, chabos, antbos, sca, chasca, antsca,!\\
+\textcolor{white}{Short STYLE options:}
+\verb!glu, gho, chagho, antgho, maj, antmaj, plain, mom, revmom!\txcol\\
+EDGE options: \vercol\verb!edge label, in, out, looseness, half left, quarter right!\txcol
+\\
+Crossing propagators:\quad
+STYLE option \redcol\verb!top!\txcol,
+for example: \vercol\verb!\propag[fer,! \redcol\verb!top!\vercol\verb!] (a) to (b);!\txcol
+\vspace{1.5mm}\\
+%
+\noindent
+\textbf{Customize}\\
+\blucol\verb!\setlength{\feynhanddotsize}{LENGTH}!\txcol\\
+analogue:
+\blucol\verb!\feynhandblobsize, \feynhandlinesize, \feynhandarrowsize, \feynhandtopsep!\txcol\\
+\blucol\verb!\renewcommand{\feynhandtopsepcolor}{COLOR}!\txcol\\
+\blucol\verb!\tikzfeynhandset{every STYLE={/tikz/color=COLOR},}!\txcol\\
+\vspace{1mm}
+%
+% =====================================================================
+\hrule
+\vspace{2mm}
+
+{\centering Version 1.0.0 -
+ available at\qquad \texttt{https://ctan.org/pkg/tikz-feynhand}\\}
+
+\vspace{1mm}
+
+\hrule
+% ===== TABEL OF CONTENTS ===========================================
+%
+\tableofcontents
+%
+% =====================================================================
+%
+% ===== MAIN PART ============================================
+%
+% =====================================================================
+%
+\section{Goals and related software}
+\label{sec:_goals}
+%
+\noindent
+\textbf{TikZ-FeynHand} is a low-end version of Joshua Ellis' original
+\textbf{TikZ-Feynman} package \cite{tikzfeynman} (Version 1.1.0),
+which has provided efficient new ways of drawing beautiful Feynman diagrams automatically
+(and manually).
+FeynHand is a modification for those users who want \textbf{easy access} to TikZ-Feynman's
+drawing styles \textbf{in LaTex without any reference to LuaTex},
+and who want to \textbf{customize the diagrams} more easily.
+FeynHand thus aims to be an alternative way to access
+the manual mode of its big brother TikZ-Feynman.
+
+The drawing styles of TikZ-FeynHand are available through simple commands
+following the \textbf{syntax conventions of TikZ,}
+which uses Tex-like commands to create graphics.
+Since there are still \textbf{journals} which do not yet support TikZ in submissions,
+TikZ is capable of creating separate PDF graphic files,
+which can then be submitted with the article.
+This is called \textbf{externalizing the graphics} and is outlined in
+Appendix~\ref{Apx_tikzbasics_externalize},
+see also Section~50.4 in the TikZ/PGF Manual~\cite{tikz}.
+\\[1.5mm]
+%
+\noindent
+The \textbf{GENERAL WORKFLOW} for creating a diagram with TikZ-FeynHand is the following:
+\begin{itemize}
+\itembf[0.]
+ Initialize the \vercol\verb$feynhand$\txcol environment
+ inside the \vercol\verb$tikzpicture$\txcol environment\\
+ (in turn typically within a \vercol\verb$figure$\txcol or some math environment).
+ %
+ \itembf[1.]
+ Set the positions of the vertices and the styles they are drawn in.
+ %
+ \itembf[2.]
+ Insert the propagator lines between the vertices.
+ %
+ \itembf[x.]
+ Draw extra objects (like coordinate systems).
+ %
+\end{itemize}
+%
+FeynHand offers additonal shorter versions of TikZ-Feynmans TikZ-keys,
+because I find some of them quite long, e.g.~\vercol\verb$anti charged boson$\txcol.
+With little practice and efficient use of copy and paste,
+the ease of creating diagrams by hand is similar in both packages.
+FeynHand contains a few tweaks that are handy for me and might be for others.
+\\[1mm]
+The other main \textbf{features of FeynHand that differ from TikZ-Feynman}
+(Version 1.1.0) are listed below.
+%
+\begin{itemize}
+ %
+ \item
+ Package does neither load the Tex package \vercol\verb$ifluatex$\txcol,\\
+ nor TikZ-Feynman's Lua patches \vercol\verb$tikzfeynman.patch.x.x.x.lua$\txcol.
+ %
+ \item
+ No extra \vercol\verb$\diagram$\txcol environment is needed,
+ since everything is placed by hand.
+ %
+ \item
+ \vercol\verb$top$\txcol style option for crossing propagators introduced,
+ see Section~\ref{sec:_feynmandiagrams_propagators_top}.
+ %
+ \item
+ Some additional vertex and propagator styles are available,
+ see Sections~\ref{sec:_feynmandiagrams_vertices}
+ and \ref{sec:_feynmandiagrams_propagators}.
+ %
+ \item
+ Shortcut commands for quickly customizing the diagrams' look,
+ see Section~\ref{sec:_feynmandiagrams_customizing}.
+ %
+ \item
+ For brevity, we access/leave math mode via \$ instead of the \vercol\verb$\($\txcol
+ and \vercol\verb$\)$\txcol suggested in TikZ-Feynman's manual.\\
+ However, this is rather a personal preference and the opinions on this topic are divided.
+ %
+\end{itemize}
+%
+This user guide just describes briefly \textbf{how to quickly use FeynHand.}
+There is also a three-page introduction to TikZ in Appendix~\ref{Apx_tikzbasics}.
+For more information on TikZ-Feynman's capabilities and commands,
+we recommend its elaborate documentation \cite{tikzfeynman},
+in particular Section~3, and also recommend the introduction
+and extensive manual of TikZ \cite{tikz}.
+%
+In all commands and keys mentioned in \cite{tikzfeynmanArticle}
+and the corresponding files, the string \vercol\verb$feynman$\txcol has been replaced
+by \vercol\verb$feynhand$\txcol in the FeynHand package,
+in order to prevent any clash of variable names,
+if both TikZ-Feynman and FeynHand are used together in the same LaTex document.
+%
+% =====================================================================
+%
+\subsection*{Acknowledgments}
+%
+\noindent
+I am grateful to Joshua Ellis for friendly advice
+and for writing TikZ-Feynman in the first place.\\
+I am also thankful to Till Tantau and all collaborators for writing TikZ/PGF.
+%
+%
+% =====================================================================
+%
+\subsection*{Citations}
+%
+\noindent
+If you use TikZ-FeynHand for any publication, please be so kind to\\
+cite both Joshua Ellis' original manual \cite{tikzfeynmanArticle} as well as this userguide.
+%
+% =====================================================================
+%
+\subsection*{License}
+%
+\noindent
+This PDF and the whole package are free: you can redistribute it and/or modify it under the
+terms of the GNU General Public License as published by the Free Software
+Foundation, either version 3 of the License, or (at your option) any later version.
+%
+% =====================================================================
+%
+\newpage
+\section{Feynman diagrams with TikZ-FeynHand}
+\label{sec:_feynmandiagrams}
+%
+% =====================================================================
+%
+\subsection{Environment}
+\label{sec:_feynmandiagrams_environment}
+%
+\noindent
+The \blucol\verb$feynhand$\txcol package is loaded as usual
+with \blucol\verb$\usepackage{tikzfeynhand}$\txcol.
+All FeynHand commands are used within the \blucol\verb$feynhand$\txcol
+environment, which needs to be placed inside the \blucol\verb$tikzpicture$\txcol
+environment%
+\footnote{It is possible to define \texttt{feynhand} such that it includes \texttt{tikzpicture}.
+ We decide against this so that \texttt{feynhand}
+ can be used as a scope inside \texttt{tikzpicture}.
+ Further, doing so would make externalizing the graphics more difficult.}.
+%
+Of course, all \textbf{TikZ commands remain available} within \blucol\verb$feynhand$\txcol,
+and TikZ commands can also be placed outside of \blucol\verb$feynhand$\txcol
+inside the \blucol\verb$tikzpicture$\txcol enclosing it.
+
+The \textbf{coordinate system} used by TikZ is the usual cartesian (x,y)-plane,
+with the x-axis pointing horizontally to the right
+and the y-axis pointing vertically upwards on the page.
+The default coordinate unit is centimeters.
+We recall that all TikZ and/or FeynHand commands must \textbf{end with
+a \;;\; (semicolon).}
+
+When we want to use captions and labels, we enclose \blucol\verb$feynhand$\txcol
+in the \blucol\verb$figure$\txcol environment as below.
+%
+\blucol\begin{verbatim}
+\begin{figure}
+ \centering
+ \begin{tikzpicture}
+ \begin{feynhand}
+
+ ... FeynHand and/or TikZ commands ...
+
+ \end{feynhand}
+ \end{tikzpicture}
+ \caption{A diagram drawn with TikZ.}
+ \label{Fig:_diagram1}
+\end{figure}
+\end{verbatim}\txcol
+%
+% ---------------------------------------------------------------
+\vspace{-5mm}
+\subsection{Equations involving Feynman diagrams}
+%
+The \vercol\verb$feynhand$\txcol environment can also be used directly
+in math environments. For example, the code below produces the (nonsense) equation below it.
+For the \vercol\verb$baseline$\txcol option of the
+\vercol\verb$tikzpicture$\txcol environment, see Section~12.2.1
+in the TikZ/PGF Manual \cite{tikz}.
+In the first diagram we have set it to the y-coordinate of the vertex (o),
+and in the second we have set it to the value y=-0.3cm.
+That is, in each diagram the corresponding horizontal lines of constant y-coordinate
+are aligned with the baseline of the math environment.
+%
+\vercol\begin{verbatim}
+\begin{align*}
+ \int dx\; f(x) = \alpha
+ \begin{tikzpicture}[baseline=(o.base)]
+ \begin{feynhand}
+ \vertex (a) at (-1,-1); \vertex (b) at (1,-1); \vertex (c) at (0,1);
+ \vertex [dot, Blue] (o) at (0,0) {}; \propag [fermion, Blue] (a) to (o);
+ \propag [anti fermion, Blue] (b) to (o); \propag [fermion, Blue] (c) to (o);
+ \end{feynhand}
+ \end{tikzpicture}
+ - 2i\,e
+ \begin{tikzpicture}[baseline=-0.3cm]
+ \begin{feynhand}
+ \vertex (a) at (-1,-1); \vertex (b) at (1,-1); \vertex (c) at (0,1);
+ \vertex [dot, Orange] (o) at (0,0) {}; \propag [photon, Orange] (a) to (o);
+ \propag [photon, Orange] (b) to (o); \propag [photon, Orange] (c) to (o);
+ \end{feynhand}
+ \end{tikzpicture}
+\end{align*}
+\end{verbatim}\txcol
+%
+\vspace{-13mm}
+%
+\begin{align*}
+ \int\!\! dx\; f(x) = \alpha
+ \tikzsetnextfilename{baseline_obase}
+ %\tikzset{external/force remake}
+ \begin{tikzpicture}[baseline=(o.base)]
+ \begin{feynhand}
+ \vertex (a) at (-1,-1); \vertex (b) at (1,-1); \vertex (c) at (0,1);
+ \vertex [dot, blue] (o) at (0,0) {}; \propag [fermion, Blue] (a) to (o);
+ \propag [anti fermion, Blue] (b) to (o); \propag [fermion, Blue] (c) to (o);
+ \end{feynhand}
+ \end{tikzpicture}
+ - 2i\,e
+ \tikzsetnextfilename{baseline_03cm}
+ \begin{tikzpicture}[baseline=-0.3cm]
+ \begin{feynhand}
+ \vertex (a) at (-1,-1); \vertex (b) at (1,-1); \vertex (c) at (0,1);
+ \vertex [dot, orange] (o) at (0,0) {}; \propag [photon, Orange] (a) to (o);
+ \propag [photon, Orange] (b) to (o); \propag [photon, Orange] (c) to (o);
+ \end{feynhand}
+ \end{tikzpicture}
+\end{align*}
+%
+% =====================================================================
+%
+\subsection{Vertices}
+\label{sec:_feynmandiagrams_vertices}
+%
+\noindent
+The \vercol\verb$\vertex$\txcol command is the same as in TikZ-Feynman,
+and essentially consists of the command \vercol\verb$node$\txcol of TikZ.
+By declaring a vertex, we mean defining its name and its position
+in the coordinate system, and specifying how the vertex is to be drawn,
+see below for examples.
+The vertices' names are mere labels for later reference
+(just like equation labels in Latex)
+and don't show up anywhere in the graph.
+The idea is now to use the vertices' names as a reference for their
+coordinates. This makes their use and modification much easier.
+For example, we can draw a line from vertex (a) to (b) by
+\vercol\verb$\draw (a) to (b);$\txcol
+see Section~\ref{sec:_feynmandiagrams_propagators}.
+
+Below we list the available vertex styles.
+Some users like to draw a gap in propagator lines which cross each other
+without any interaction being implied there.
+This can be done using gap vertices,
+see Section~\ref{sec:_feynmandiagrams_propagators_top}.
+%
+% ------------------------------------------------------
+\subsubsection*{Bare vertex}
+%
+\noindent
+This is the basic vertex: nothing is drawn at the vertex itself,
+it merely connects propagator lines.
+Note that we do not put an empty argument \redcol\verb${}$\txcol at the end.
+\vspace{2mm}\\
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \vertex (c1) at (4,0.5); \vertex (c2) at (4,-0.5);
+ \propag [plain] (a) to (b);
+ \propag [plain] (b) to (c1);
+ \propag [plain] (b) to (c2);
+ \end{feynhand}
+\end{tikzpicture}
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{vertex_bare}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0);
+ \vertex (b) at (2,0);
+ \vertex (c1) at (4,0.5);
+ \vertex (c2) at (4,-0.5);
+ \propag [plain] (a) to (b);
+ \propag [plain] (b) to (c1);
+ \propag [plain] (b) to (c2);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+%
+% ------------------------------------------------------
+\subsubsection*{Particle vertex}
+%
+\noindent
+Particle vertices are usually used only for incoming
+and outgoing particles. \\
+For intermediate particles, see propagator edge labels in
+Section~\ref{sec:_feynmandiagrams_proplabelsmomentum}.
+\vspace{2mm}\\
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ ...
+ \vertex [particle] (a) at (0,0) {e$^-$};
+ ...
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{vertex_particle}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex [particle] (a) at (0,0) {e$^-$};
+ \vertex (b) at (2,0);
+ \vertex (c1) at (4,0.5);
+ \vertex (c2) at (4,-0.5);
+ \propag [plain] (a) to (b);
+ \propag [plain] (b) to (c1);
+ \propag [plain] (b) to (c2);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+%
+% ------------------------------------------------------
+\subsubsection*{Dot vertex}
+%
+\noindent
+Some users like to place dots on vertices in order to emphasize
+that an interaction occurs there.\\
+Note the empty argument \redcol\verb${}$\txcol at the end -
+without the dots/blobs will not appear!
+\vspace{2mm}\\
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ ...
+ \vertex [dot] (b) at (2,0) {};
+ ...
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{vertex_dot}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0);
+ \vertex [dot] (b) at (2,0) {};
+ \vertex (c1) at (4,0.5);
+ \vertex (c2) at (4,-0.5);
+ \propag [plain] (a) to (b);
+ \propag [plain] (b) to (c1);
+ \propag [plain] (b) to (c2);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+%
+% ------------------------------------------------------
+\subsubsection*{Ring dot vertex}
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ ...
+ \vertex [ringdot] (b) at (2,0) {};
+ ...
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{vertex_ringdot}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0);
+ \vertex [ringdot] (b) at (2,0) {};
+ \vertex (c1) at (4,0.5);
+ \vertex (c2) at (4,-0.5);
+ \propag [plain] (a) to (b);
+ \propag [plain] (b) to (c1);
+ \propag [plain] (b) to (c2);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+%
+% ------------------------------------------------------
+\subsubsection*{Square dot vertex}
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ ...
+ \vertex [squaredot] (b) at (2,0) {};
+ ...
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{vertex_squaredot}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0);
+ \vertex [squaredot] (b) at (2,0) {};
+ \vertex (c1) at (4,0.5);
+ \vertex (c2) at (4,-0.5);
+ \propag [plain] (a) to (b);
+ \propag [plain] (b) to (c1);
+ \propag [plain] (b) to (c2);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+%
+% ------------------------------------------------------
+\subsubsection*{Crossed dot vertex}
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ ...
+ \vertex [crossdot] (b) at (2,0) {};
+ ...
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{vertex_crossdot}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0);
+ \vertex [crossdot] (b) at (2,0) {};
+ \vertex (c1) at (4,0.5);
+ \vertex (c2) at (4,-0.5);
+ \propag [plain] (a) to (b);
+ \propag [plain] (b) to (c1);
+ \propag [plain] (b) to (c2);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+%
+% ------------------------------------------------------
+\subsubsection*{Blob vertex}
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ ...
+ \vertex [blob] (b) at (2,0) {};
+ ...
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{vertex_blob}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0);
+ \vertex [blob] (b) at (2,0) {};
+ \vertex (c1) at (4,0.5);
+ \vertex (c2) at (4,-0.5);
+ \propag [plain] (a) to (b);
+ \propag [plain] (b) to (c1);
+ \propag [plain] (b) to (c2);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+%
+% ------------------------------------------------------
+\subsubsection*{Ring blob vertex}
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ ...
+ \vertex [ringblob] (b) at (2,0) {};
+ ...
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{vertex_ringblob}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0);
+ \vertex [ringblob] (b) at (2,0) {};
+ \vertex (c1) at (4,0.5);
+ \vertex (c2) at (4,-0.5);
+ \propag [plain] (a) to (b);
+ \propag [plain] (b) to (c1);
+ \propag [plain] (b) to (c2);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+%
+% ------------------------------------------------------
+\subsubsection*{Gray blob vertex}
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ ...
+ \vertex [grayblob] (b) at (2,0) {};
+ ...
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{vertex_grayblob}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0);
+ \vertex [grayblob] (b) at (2,0) {};
+ \vertex (c1) at (4,0.5);
+ \vertex (c2) at (4,-0.5);
+ \propag [plain] (a) to (b);
+ \propag [plain] (b) to (c1);
+ \propag [plain] (b) to (c2);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+%
+% ------------------------------------------------------
+\subsubsection*{NorthWest blob vertex}
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ ...
+ \vertex [NWblob] (b) at (2,0) {};
+ ...
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{vertex_NWblob}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0);
+ \vertex [NWblob] (b) at (2,0) {};
+ \vertex (c1) at (4,0.5);
+ \vertex (c2) at (4,-0.5);
+ \propag [plain] (a) to (b);
+ \propag [plain] (b) to (c1);
+ \propag [plain] (b) to (c2);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+%
+% ------------------------------------------------------
+\subsubsection*{NorthEast blob vertex}
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ ...
+ \vertex [NEblob] (b) at (2,0) {};
+ ...
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{vertex_NEblob}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0);
+ \vertex [NEblob] (b) at (2,0) {};
+ \vertex (c1) at (4,0.5);
+ \vertex (c2) at (4,-0.5);
+ \propag [plain] (a) to (b);
+ \propag [plain] (b) to (c1);
+ \propag [plain] (b) to (c2);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+%
+% ------------------------------------------------------
+\subsubsection{Relative vertex placement}
+\label{sec:_feynmandiagrams_vertices_relative}
+%
+\noindent
+Above we have always placed the vertices using absolute coordinate values.
+Relative placement is done using the keys
+\blucol\verb$above, below, left, right$\txcol.
+When combined, the vertical key must come first, as in
+\blucol\verb$above right$\txcol.\\
+
+\noindent
+\begin{minipage}{0.75\linewidth}
+\blucol\begin{verbatim}
+ \vertex [dot] (a1) {};
+ \vertex [ringdot] (a2) [above right = of a1] {};
+ \propag [plain] (a1) to (a2);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.2\linewidth}
+\tikzsetnextfilename{vertex_relative_1}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex [dot] (a1) {};
+ \vertex [ringdot] (a2) [above right = of a1] {};
+ \propag [plain] (a1) to (a2);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+
+\noindent
+The node distance used by these keys can be set
+by calling \blucol\verb$\begin{tikzpicture}[node distance = 2cm]$\txcol
+or \blucol\verb$\begin{feynhand}[node distance = 2cm]$\txcol.
+Moreover, we can specify the absolute distances relative to a vertex:\\
+
+\noindent
+\begin{minipage}{0.75\linewidth}
+\blucol\begin{verbatim}
+ \vertex [dot] (a1) {};
+ \vertex [dot] (a2) [right = 1.5cm of a1] {};
+ \propag [gluon] (a1) to (a2);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.2\linewidth}
+\tikzsetnextfilename{vertex_relative_2}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex [dot] (a1) {};
+ \vertex [dot] (a2) [right = 1.5cm of a1] {};
+ \propag [gluon] (a1) to (a2);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+\begin{minipage}{0.75\linewidth}
+\blucol\begin{verbatim}
+ \vertex [ringdot] (a1) {};
+ \vertex [ringdot] (a2) [above right = 0.5cm and 2cm of a1] {};
+ \propag [photon] (a1) to (a2);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.2\linewidth}
+\tikzsetnextfilename{vertex_relative_3}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex [ringdot] (a1) {};
+ \vertex [ringdot] (a2) [above right = 0.5cm and 2cm of a1] {};
+ \propag [photon] (a1) to (a2);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+
+
+
+%
+% =====================================================================
+%
+\subsection{Propagators}
+\label{sec:_feynmandiagrams_propagators}
+%
+\noindent
+You can draw propagators between vertices with FeynHand's \vercol\verb$\propag$\txcol command,
+whose long version \vercol\verb$\propagator$\txcol also works.
+Both are just TikZ' \vercol\verb$\draw$\txcol command,
+and thus can access all styles defined in TikZ-Feynman.
+The minimal example \vercol\verb$\propag[fer] (a) to (b);$\txcol
+draws a fermion propagator from vertex (a) and (b).
+Below we list all propagator styles and draw examples.
+FeynHand uses intuitive 3/6-letter versions, but also keeps TikZ-Feynman's longer ones:
+%
+\setlength{\extrarowheight}{3pt}
+\begin{table}[H]
+ \centering
+ \begin{tabular}{r>{\qquad} r}
+ \hline
+ Short Version & Long Version
+ \\
+ \hhline{==}
+ \verb$\propag$ & \verb$\propagator$\\
+ \hline
+ \verb$fer$ & \verb$fermion$\\
+ \verb$antfer$ & \verb$anti fermion$\\
+ \hline
+ \verb$pho$ & \verb$photon$\\
+ \hline
+ \verb$bos$ & \verb$boson$\\
+ \verb$chabos$ & \verb$charged boson$\\
+ \verb$antbos$ & \verb$anti charged boson$\\
+ \hline
+ \verb$glu$ & \verb$gluon$\\
+ \hline
+ %
+ \end{tabular}
+ \qquad\qquad\qquad
+ \begin{tabular}{r>{\qquad} r}
+ \hline
+ Short Version & Long Version
+ \\
+ \hhline{==}
+ \verb$sca$ & \verb$scalar$\\
+ \verb$chasca$ & \verb$charged scalar$\\
+ \verb$antsca$ & \verb$anti charged scalar$\\
+ \hline
+ \verb$gho$ & \verb$ghost$\\
+ \verb$chagho$ & \verb$charged ghost$\\
+ \verb$antgho$ & \verb$anti charged ghost$\\
+ \hline
+ \verb$maj$ & \verb$majorana$\\
+ \verb$antmaj$ & \verb$anti majorana$\\
+ \hline
+ %
+ \end{tabular}
+\end{table}
+%
+%
+% ------------------------------------------------------
+\subsubsection*{Fermions}
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[fer] (a) to (b);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{propag_fermion}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[fer] (a) to (b);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+%
+\\
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propagator[antfer] (a) to (b);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{propag_antfer}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propagator[antfer] (a) to (b);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+%
+% ------------------------------------------------------
+\subsubsection*{Gluons}
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[glu] (a) to (b);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{propag_gluon}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[glu] (a) to (b);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,1);
+ \propag[glu] (a) to [out=0, in=180] (b);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{propag_gluon_out_in}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,1);
+ \propag[gluon] (a) to [out=0, in=180] (b);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+%
+% ------------------------------------------------------
+\subsubsection*{Bosons (photons are just bosons)}
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[bos] (a) to (b);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{propag_boson}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[bos] (a) to (b);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[pho] (a) to (b);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{propag_photon}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[pho] (a) to (b);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,-1);
+ \propag[bos] (a) to [out=0, in=90] (b);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{propag_boson_out_in}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,-1);
+ \propag[bos] (a) to [out=0, in=90] (b);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+%
+% ------------------------------------------------------
+\subsubsection*{Charged bosons}
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[chabos] (a) to (b);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{propag_chabos}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[chabos] (a) to (b);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[antbos] (a) to (b);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{propag_antbos}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[antbos] (a) to (b);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+%
+% ------------------------------------------------------
+\newpage
+\subsubsection*{Scalars}
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[sca] (a) to (b);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{propag_scalar}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[sca] (a) to (b);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,1);
+ \propag[sca] (a) to [out=0, in=180] (b);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{propag_scalar_out_in}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,1);
+ \propag[sca] (a) to [out=0, in=180] (b);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+%
+% ------------------------------------------------------
+\vspace{-6mm}
+\subsubsection*{Charged scalars}
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[chasca] (a) to (b);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{propag_chasca}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[chasca] (a) to (b);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[antsca] (a) to (b);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{propag_antsca}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[antsca] (a) to (b);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+%
+% ------------------------------------------------------
+\subsubsection*{Ghosts}
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[gho] (a) to (b);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{propag_ghost}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[gho] (a) to (b);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,1);
+ \propag[gho] (a) to [out=0, in=180] (b);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{propag_ghost_out_in}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,1);
+ \propag[gho] (a) to [out=0, in=180] (b);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+%
+% ------------------------------------------------------
+\subsubsection*{Charged ghosts}
+%
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[chagho] (a) to (b);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{propag_chaghost}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[chagho] (a) to (b);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[antgho] (a) to (b);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{propag_antghost}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[antgho] (a) to (b);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+%
+% ------------------------------------------------------
+\subsubsection*{Majorana}
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[maj] (a) to (b);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{propag_major}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[maj] (a) to (b);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[antmaj] (a) to (b);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{propag_antmaj}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[antmaj] (a) to (b);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+%
+% ------------------------------------------------------
+\subsubsection*{Linked propagators}
+%
+\noindent
+We can also draw "chains" of propagators from one vertex to the next to the next etc.~using
+TikZ' \blucol\verb$\graph$\txcol command.
+Then, all style options are attached to the connector \blucol\verb$--$\txcol
+as in the following example.
+\\
+
+%
+\begin{minipage}{0.75\linewidth}
+\blucol\begin{verbatim}
+ \graph {(a0) --[fer,green!50!black]
+ (a1) --[glu,red]
+ (a2) --[chabos,blue] (a3)};
+
+ \graph {(b0) --[fer, red, in=180, out=270, insertion=0.8]
+ (b1) --[glu, edge label =$k$]
+ (b2) --[chabos, blue, mom={[arrow style=blue] $q$}] (b3)};
+\end{verbatim}\txcol
+\end{minipage}
+%
+%
+\begin{minipage}{0.23\linewidth}
+\tikzsetnextfilename{propag_chain}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a0) at (0,2); \vertex (a1) at (1,2);
+ \vertex (a2) at (2,2); \vertex (a3) at (3,2);
+ \vertex (b0) at (0,1); \vertex (b1) at (1,0);
+ \vertex (b2) at (2,0); \vertex (b3) at (3,1);
+ \graph {(a0) --[fer, green!50!black] (a1) --[glu, red] (a2) --[chabos, blue] (a3)};
+ \graph {(b0) --[fer, red, in=180, out=270, insertion=0.8]
+ (b1) --[glu, edge label =$k$] (b2) --[chabos, blue, mom={[arrow style=blue] $q$}] (b3)};
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+%
+% --------------------------------------------------------------------------------
+\newpage\subsubsection{Keys: In, Out, Looseness, Left/Right, Half/Quarter}
+\label{sec:_feynmandiagrams_keysinoutetc}
+%
+\noindent
+The keys \vercol\verb$in, out$\txcol specify the angle
+at which the line leaves and enters the vertices.
+The angle is with respect to the coordinate system:
+0 degrees is right, 90 up, 180 left, 270 down.
+\vspace{2mm}\\
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[fer] (a) to [out=90, in=90] (b);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{propag_keys_out_in}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \propag[fer] (a) to [out=90, in=90] (b);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+The key \vercol\verb$looseness$\txcol specifies
+how loose (distant) the arc is bending away
+from the straight line connecting the vertices.
+Its default value is 1.
+\vspace{2mm}\\
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \vertex (c) at (3,0); \vertex (d) at (5,0);
+ \propag[fer] (a) to [in=90, out=90] (b);
+ \propag[fer] (c) to [in=90, out=90, looseness=1.5] (d);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{propag_keys_looseness}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \vertex (c) at (3,0); \vertex (d) at (5,0);
+ \propag[fer] (a) to [in=90, out=90] (b);
+ \propag[fer] (c) to [in=90, out=90, looseness=1.5] (d);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+The keys \vercol\verb$half left, half right, quarter left, quarter right$\txcol
+specify that the line is a half/quarter circle bending to the left/right
+with respect to the line's direction.
+\vspace{2mm}\\
+%
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \vertex (c) at (3,1); \vertex (d) at (5,1);
+ \propag[fer] (a) to [half left] (b);
+ \propag[fer] (c) to [half right, looseness=1.5] (d);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{propag_keys_half}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \vertex (c) at (3,1); \vertex (d) at (5,1);
+ \propag[fer] (a) to [half left] (b);
+ \propag[fer] (c) to [half right, looseness=1.5] (d);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+\begin{minipage}{0.7\linewidth}
+\vercol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \vertex (c) at (3,1); \vertex (d) at (4,0);
+ \propag[fer] (a) to [quarter left] (b);
+ \propag[fer] (c) to [quarter right, looseness=1.5] (d);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.25\linewidth}
+\tikzsetnextfilename{propag_keys_quarter}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,0);
+ \vertex (c) at (3,1); \vertex (d) at (4,0);
+ \propag[fer] (a) to [quarter left] (b);
+ \propag[fer] (c) to [quarter right, looseness=1.5] (d);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+%
+% --------------------------------------------------------------------------------
+\vspace{-6mm}
+\subsubsection{Propagator labels and momentum arrows}
+\label{sec:_feynmandiagrams_proplabelsmomentum}
+%
+\noindent
+In order to include a label to a propagator line,
+we can use TikZ's \blucol\verb!edge label!\txcol key,
+see Section~14.13 in the TikZ/PGF Manual \cite{tikz}.
+\blucol\verb!edge label!\txcol sets a propagator label
+to the left of the propagator line, and the primed version
+\blucol\verb!edge label'!\txcol sets one to its right,
+see the following example.
+Left and right are relative with respect to the line's direction.
+\vspace{2mm}\\
+%
+\begin{minipage}{0.83\linewidth}
+\blucol\begin{verbatim}
+ \vertex (a1) at (0,0); \vertex (a2) at (1,1.5);
+ \vertex (b1) at (1.5,1.5); \vertex (b2) at (2.5,0);
+ \propag [fer, Orange] (a1) to [edge label = $k$] (a2);
+ \propag [fer, Blue] (b1) to [edge label'= $p'$] (b2);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.16\linewidth}
+\tikzsetnextfilename{propag_label}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a1) at (0,0); \vertex (a2) at (1,1.5);
+ \vertex (b1) at (1.5,1.5); \vertex (b2) at (2.5,0);
+ \propag [fer, RedOrange] (a1) to [edge label = $k$] (a2);
+ \propag [fer, Blue] (b1) to [edge label'= $p'$] (b2);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+In order to add arrows indicating the momentum's direction to a propagator line,
+we can use the key \blucol\verb!momentum!\txcol.
+The key \blucol\verb!reversed momentum!\txcol draws the arrow in the reverse direction,
+and a prime changes the side on which the arrow appears, as above.
+FeynHand also offers the 3/6-letter shorthands \blucol\verb!mom!\txcol
+and \blucol\verb!revmom!\txcol.
+The momentum arrows \emph{do not} inherit the drawing style of the propagator line,
+and hence their style can be specified by an extra argument.
+\vspace{2mm}\\
+%
+\begin{minipage}{0.83\linewidth}
+\blucol\begin{verbatim}
+ \vertex (a1) at (0,0); \vertex (a2) at (1,1.5);
+ \vertex (b1) at (1.5,1.5); \vertex (b2) at (2.5,0);
+ \propag [fer, Orange, mom={[arrow style=Orange] $k$}] (a1) to (a2);
+ \propag [fer, Blue, revmom'={[arrow style=Blue] $p'$}] (b1) to (b2);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.16\linewidth}
+\tikzsetnextfilename{propag_arrows}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a1) at (0,0); \vertex (a2) at (1,1.5);
+ \vertex (b1) at (1.5,1.5); \vertex (b2) at (2.5,0);
+ \propag [fer, RedOrange, mom={[arrow style=RedOrange] $k$}] (a1) to (a2);
+ \propag [fer, Blue, revmom'={[arrow style=Blue] $p'$}] (b1) to (b2);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+Note that \blucol\verb!edge label!\txcol
+is an option of the \blucol\verb!to!\txcol key,
+whereas \blucol\verb!momentum!\txcol is an option
+of the \blucol\verb!\propag!\txcol command.
+%
+% -------------------------------------------------------------------------------------------------------
+\vspace{-3mm}
+\subsubsection{Insertions}
+\label{sec:_feynmandiagrams_propagators_insertions}
+%
+\noindent
+Insertions can be placed on propagator lines as in the examples below.
+The values indicate the fraction of the propagator line's length
+at which the insertion marks are drawn.
+\\
+%
+\begin{minipage}{0.83\linewidth}
+\vercol\begin{verbatim}
+ \vertex [dot] (a1) at (0,0) {}; \vertex [dot] (a2) at (2,0) {};
+ \propag [chabos, red, insertion=0.25, insertion=0.75] (a1) to (a2);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.16\linewidth}
+\tikzsetnextfilename{propag_insertion_1}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex [dot] (a1) at (0,0) {};
+ \vertex [dot] (a2) at (2,0) {};
+ \propag [chabos, red, insertion=0.25, insertion=0.75] (a1) to (a2);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+\begin{minipage}{0.83\linewidth}
+\vercol\begin{verbatim}
+ \vertex [ringdot] (a1) at (0,0) {}; \vertex [ringdot] (a2) at (2,0) {};
+ \propag [chabos, red, insertion={[size=6pt,style=Green]0.25}] (a1) to (a2);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.16\linewidth}
+\tikzsetnextfilename{propag_insertion_2}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex [ringdot] (a1) at (0,0) {};
+ \vertex [ringdot] (a2) at (2,0) {};
+ \propag [chabos, red, insertion={[size=6pt,style=Green]0.25}] (a1) to (a2);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+
+%
+% -------------------------------------------------------------------------------------------------------
+\subsubsection{Crossing propagators (one on top of the other)}
+\label{sec:_feynmandiagrams_propagators_top}
+%
+\noindent
+Crossings often indicate that the propagators merely cross on paper
+without any physical interaction being implied.
+First, draw the propagator line to become crossed/interrupted,
+then draw the crossing propagator on top of it by specifying
+the additional style key \blucol\verb$top$\txcol.
+For more intricate networks of crossing propagators, you can place auxiliary vertices
+to break the propagators into parts if necessary,
+and then place the respective parts on top of each other.
+
+If due to the crossings you wish to move the arrows of charged particles,
+specify \blucol\verb$with arrow=VALUE$\txcol,
+respectively \blucol\verb$with reversed arrow=VALUE$\txcol for antiparticles.
+\blucol\verb$VALUE$\txcol must be a number between 0 and 1,
+and indicates the fraction of propagator length at which TikZ inserts the arrow.
+The default value of \blucol\verb$VALUE$\txcol is 0.5.
+\vspace{2mm}\\
+%
+\begin{minipage}{0.8\linewidth}
+\blucol\begin{verbatim}
+ \vertex (a) at (0,0); \vertex (b) at (2,1);
+ \vertex (c) at (0,1); \vertex (d) at (2,0);
+ \propag [chabos, Orange, with arrow=0.25] (c) to (d);
+ \propag [fer, Blue, top] (a) to (b);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.15\linewidth}
+\tikzsetnextfilename{propag_gap_up}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,1);
+ \vertex (c) at (0,1); \vertex (d) at (2,0);
+ \propag [chabos, Orange, with arrow=0.25] (c) to (d);
+ \propag [fer, Blue, top] (a) to (b);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+%
+\begin{minipage}{0.8\linewidth}
+\blucol\begin{verbatim}
+ ...
+ \propag[gluon, blue] (a) to [out=0, in=180] (b);
+ \propag[gluon, top] (c) to [out=0, in=180] (d);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.15\linewidth}
+\tikzsetnextfilename{propag_gluon_gap}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \begin{feynhand}
+ \vertex (a) at (0,0); \vertex (b) at (2,1);
+ \vertex (c) at (0,1); \vertex (d) at (2,0);
+ \propag[gluon, blue] (a) to [out=0, in=180] (b);
+ \propag[gluon, top] (c) to [out=0, in=180] (d);
+ \end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+%
+%
+% =====================================================================
+%
+\subsection{Customizing styles}
+\label{sec:_feynmandiagrams_customizing}
+%
+FeynHand provides the following shortcuts for quickly modifying styles.
+Note that any change of these lengths at some point in the code
+affects all diagrams that come after this point.
+Also recall that if you externalize graphics (see Sec.~\ref{Apx_tikzbasics_externalize}),
+then TikZ refreshes pictures \emph{only} when their source code is changed.
+Hence to see the effect of such length changes,
+delete the external PDF-files or use \vercol\verb$\tikzset{external/force remake}$\txcol.
+%
+\begin{itemize}
+ \item
+ \vercol\verb$\setlength{\feynhanddotsize}{2mm}$\txcol
+ sets the diameter of the dots to 2mm (default: 1.5mm).
+ %
+ \item
+ \vercol\verb$\setlength{\feynhandblobsize}{10mm}$\txcol
+ sets the diameter of the blobs to 10mm (default: 7.5mm).
+ %
+ \item
+ \vercol\verb$\setlength{\feynhandlinesize}{2pt}$\txcol
+ sets the thickness of the propagator lines to 2pt (default: 0.5pt).\\
+ Also the lines of dots and blobs use this thickness.\\
+ The momentum arrows' line thickness scales as 0.64 times this value.
+ Also the amplitudes\\
+ and section lengths of the boson and photon waves
+ and of the gluon curls scale with this value.
+ %
+ \item
+ \vercol\verb$\setlength{\feynhandarrowsize}{8pt}$\txcol
+ sets the size of the arrows to 8pt (default: 6pt)\\
+ on all charged propagator lines
+ \vercol\verb$(fer, antfer, chabos, antbos, chasca, antsca, chagho, antgho)$\txcol\\
+ and majorana lines \vercol\verb$(maj, antmaj).$\txcol
+ The momentum arrows' tip size scales as 0.8 times this value.
+ %
+ \item
+ \vercol\verb$\setlength{\feynhandtopsep}{8pt}$\txcol
+ sets the width of the crossing gap for propagators on top of each other.
+ The default value is \vercol\verb$18\feynhandlinesize$\txcol.
+ %
+ \item
+ \vercol\verb$\renewcommand{\feynhandtopsepcolor}{yellow}$\txcol
+ sets the color of the crossing gap (default is white).
+ %
+\end{itemize}
+%
+\noindent
+\begin{minipage}{0.6\linewidth}
+Example diagram drawn with default values:
+\end{minipage}
+%
+\begin{minipage}{0.38\linewidth}
+\tikzsetnextfilename{tikz_customize_default}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+\begin{feynhand}
+ \vertex [ringdot] (a) at (0,0) {};
+ \vertex [NWblob] (b) at (2,0) {};
+ \vertex [crossdot] (c1) at (4,0.5) {};
+ \vertex [dot] (c2) at (5,-0.5) {};
+ \vertex [dot] (d) at (3,-0.5) {};
+ \propag [chasca, Green] (a) to (b);
+ \propag [gluon, Blue] (b) to (c2);
+ \propag [fer, top] (d) to (c1);
+ \propag [chabos, RedOrange, momentum={[arrow style=RedOrange] $k$}] (b) to (c1);
+\end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+\\
+\noindent
+\begin{minipage}{0.6\linewidth}
+Same diagram (same TikZ/FeynHand code) drawn after setting:
+\vercol\begin{verbatim}
+\setlength{\feynhanddotsize}{2mm}
+\setlength{\feynhandblobsize}{10mm}
+\setlength{\feynhandlinesize}{1pt}
+\setlength{\feynhandarrowsize}{9pt}
+\setlength{\feynhandtopsep}{3mm}
+\renewcommand{\feynhandtopsepcolor}{yellow}
+\end{verbatim}\txcol
+\end{minipage}
+%
+\setlength{\feynhanddotsize}{2mm}
+\setlength{\feynhandblobsize}{10mm}
+\setlength{\feynhandlinesize}{1pt}
+\setlength{\feynhandarrowsize}{9pt}
+\setlength{\feynhandtopsep}{3mm}
+\renewcommand{\feynhandtopsepcolor}{yellow}
+%
+\begin{minipage}{0.38\linewidth}
+\tikzsetnextfilename{tikz_customize_big}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+\begin{feynhand}
+ \vertex [ringdot] (a) at (0,0) {};
+ \vertex [NWblob] (b) at (2,0) {};
+ \vertex [crossdot] (c1) at (4,0.5) {};
+ \vertex [dot] (c2) at (5,-0.5) {};
+ \vertex [dot] (d) at (3,-0.5) {};
+ \propag [chasca, Green] (a) to (b);
+ \propag [gluon, Blue] (b) to (c2);
+ \propag [fer, top] (d) to (c1);
+ \propag [chabos, RedOrange, momentum={[arrow style=RedOrange] $k$}] (b) to (c1);
+\end{feynhand}
+\end{tikzpicture}
+\end{minipage}
+%
+% set again the default values
+\setlength{\feynhanddotsize}{1.5mm}
+\setlength{\feynhandblobsize}{7.5mm}
+\setlength{\feynhandlinesize}{0.5pt}
+\setlength{\feynhandarrowsize}{6pt}
+\setlength{\feynhandtopsep}{18\feynhandlinesize}
+\renewcommand{\feynhandtopsepcolor}{white}
+%
+The color of a vertex/propagator style can be set for all subsequent diagrams
+in the current local Tex group (e.g. document or equation, figure, minipage environment)
+by the command \vercol\verb$\tikzfeynhandset$\txcol with the key \vercol\verb$every$\txcol:
+%
+\vercol\begin{verbatim}
+\tikzfeynhandset{every particle={/tikz/color=blue}, every dot={/tikz/color=red},}
+\tikzfeynhandset{every fermion={/tikz/color=green},}
+\end{verbatim}\txcol
+
+%
+% =====================================================================
+% =====================================================================
+% ===== APPENDICES ============================================
+%
+\appendix
+%
+\section{TikZ Basics}
+\label{Apx_tikzbasics}
+%
+This appendix summarizes a few things that can be done with TikZ,
+just enough for getting started quickly.\\
+You can discover much more, and I recommend
+becoming familiar with the TikZ/PGF Manual \cite{tikz} bit by bit.
+
+% =====================================================================
+\subsection{Environment}
+\label{Apx_tikzbasics_environment}
+%
+\noindent
+All TikZ commands are used within the
+\brocol\verb$tikzpicture$\txcol environment.
+All TikZ commands that we mention are understood
+as appearing in this environment.
+When we want to use captions and labels, we enclose it in the
+\brocol\verb$figure$\txcol environment, but it can be called
+anywhere in the text or math of a Tex document:\\
+
+\noindent
+\begin{minipage}{0.6\linewidth}
+\brocol\begin{verbatim}
+\begin{figure}
+ \centering
+%\tikzset{external/force remake}
+ \begin{tikzpicture}
+
+ ... TikZ commands ...
+
+ \end{tikzpicture}
+ \caption{A diagram drawn with TikZ.}
+ \label{Fig:_diagram1}
+\end{figure}
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.39\linewidth}
+\brocol\begin{verbatim}
+\begin{align*}
+ \int dx\; f(x) =
+ \alpha
+%\tikzset{external/force remake}
+ \begin{tikzpicture}
+
+ ... TikZ commands ...
+
+ \end{tikzpicture}
+\end{align*}
+\end{verbatim}\txcol
+\end{minipage}
+%
+% =====================================================================
+\subsection{Layers}
+\label{Apx_tikzbasics_layers}
+%
+\noindent
+In general, objects that are drawn later in the code appear
+on top of objects that are drawn earlier (if they overlap).
+If we need to declare explicitly which objects
+we want to appear on top of other objects,
+then we can use layers.
+
+Layers are first declared with \brocol\verb$\pgfdeclarelayer$\txcol
+as in the following example, and then their order is set up
+from backmost to foremost with \brocol\verb$\pgfsetlayers$\txcol.
+The layer \brocol\verb$main$\txcol is predefined and does not need
+to be declared, but it must always be included in the order setup,
+for example:
+%
+\brocol\begin{verbatim}
+\pgfdeclarelayer{background}
+\pgfdeclarelayer{foreground}
+\pgfsetlayers{background,main,foreground}
+\end{verbatim}\txcol
+%
+All drawing commands by default are placed on the layer
+\brocol\verb$main$\txcol.
+For placing them on other layers, they must be enclosed in the
+\brocol\verb$\pgfonlayer$\txcol environment as in the following example
+(the \brocol\verb$opacity$\txcol option is optional).\\
+
+\noindent
+\begin{minipage}{0.83\linewidth}
+\brocol\begin{verbatim}
+ \begin{pgfonlayer}{foreground}
+ \filldraw[fill=Orange, draw=Red, opacity=0.7] (1,0) circle [radius=6mm];
+ \end{pgfonlayer}
+ \filldraw[fill=Blue, draw=black] (1,0) circle [radius=9mm];
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.16\linewidth}
+\tikzsetnextfilename{tikz_layers}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \pgfdeclarelayer{foreground}
+ \pgfsetlayers{main,foreground}
+ \begin{pgfonlayer}{foreground}
+ \filldraw[fill=Orange,draw=Red, opacity=0.7] (1,0) circle [radius=6mm];
+ \end{pgfonlayer}
+ \filldraw[fill=Yellow,draw=black] (0,0) circle [radius=8mm];
+\end{tikzpicture}
+\end{minipage}
+%
+% =====================================================================
+\subsection{Drawing objects}
+\label{Apx_tikzbasics_drawing}
+%
+\noindent
+All drawing commands must end with a \;;\; (semicolon).
+%
+% =====================================================================
+\subsubsection{Text and formulas}
+%
+\noindent
+Plain text and LaTex math formulas can be inserted anywhere
+in the graphic with TikZ' \brocol\verb$node$\txcol command.
+The text is centered at the node's coordinates:\\
+
+\noindent
+\begin{minipage}{0.83\linewidth}
+\brocol\begin{verbatim}
+ \filldraw[fill=Yellow, draw=Red] (0,0) circle [radius=1cm];
+ \node at (-0.8,-0.3) {\textcolor{Blue}{\bfseries Yes! $\alpha^2$}};
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.16\linewidth}
+\tikzsetnextfilename{tikz_text_math}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \filldraw[fill=Yellow, draw=Red] (0,0) circle [radius=1cm];
+ \node at (-0.8,-0.3) {\textcolor{Blue}{\bfseries Yes! $\alpha^2$}};
+\end{tikzpicture}
+\end{minipage}
+%
+%
+% =====================================================================
+\subsubsection{Lines: straight and smooth}
+%
+\noindent
+A straight line from node (a) to node (b) is drawn by\\
+
+\noindent
+\begin{minipage}{0.83\linewidth}
+\brocol\begin{verbatim}
+ \draw [Red, line width = 2pt] (a1) to (a2);
+ \draw (b1) to [Blue] (b2);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.16\linewidth}
+\tikzsetnextfilename{tikz_lines_straight}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \node (a1) at (0,0) {};
+ \node (a2) at (1,0.5) {};
+ \node (b1) at (2,0) {};
+ \node (b2) at (3,0.5) {};
+ \draw [Red, line width = 2pt] (a1) to (a2);
+ \draw (b1) to [Blue] (b2);
+\end{tikzpicture}
+\end{minipage}
+%
+A smooth curve which leaves (a) at an angle of 45 degrees
+and enters (b) at 180 degrees is drawn by\\
+
+\noindent
+\begin{minipage}{0.83\linewidth}
+\brocol\begin{verbatim}
+ \draw [Green, line width=1mm] (a1) to [out=45, in=180] (a2);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.16\linewidth}
+\tikzsetnextfilename{tikz_lines_in_out}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \node (a1) at (0,0) {};
+ \node (a2) at (1,0.5) {};
+ \draw [Green, line width=1mm] (a1) to [out=45, in=180] (a2);
+\end{tikzpicture}
+\end{minipage}
+\\
+\noindent
+The angles are with respect to the coordinate system, that is:
+0 degrees points right, 90 up, 180 left and 270 down.
+%
+%
+% =====================================================================
+\subsubsection{Lines with arrows}
+%
+Lines can be equipped with arrows by specifying this
+in the options of \brocol\verb$\draw$\txcol as inthe examples below.
+The most basic arrow styles are:
+\brocol\verb$>, Latex, Stealth, Circle, Bar$\txcol.
+Note the extra curly braces!\\
+
+\noindent
+\begin{minipage}{0.87\linewidth}
+\brocol\begin{verbatim}
+\draw [->] (a1) to (a2);
+\draw [<->,Red, line width = 1pt] (b1) to [out=45, in=135] (b2);
+\draw [{Circle[width=5pt,length=5pt]}-{Latex[length=8pt,width=6pt]}] (c1) to (c2);
+\draw [{Bar[Red,width=8pt]}-{Stealth[length=8pt, width=6pt]}] (d1) to (d2);
+\end{verbatim}\txcol
+\end{minipage}
+%
+\begin{minipage}{0.12\linewidth}
+\tikzsetnextfilename{tikz_arrows}
+%\tikzset{external/force remake}
+\begin{tikzpicture}
+ \node (a1) at (0,0) {};
+ \node (a2) at (2,0) {};
+ \node (b1) at (0,-0.7) {};
+ \node (b2) at (2,-0.7) {};
+ \node (c1) at (0,-1) {};
+ \node (c2) at (2,-1) {};
+ \node (d1) at (0,-1.5) {};
+ \node (d2) at (2,-1.5) {};
+ \draw [->] (a1) to (a2);
+ \draw [<->,Red, line width = 1pt] (b1) to [out=45, in=135] (b2);
+ \draw [{Circle[width=5pt,length=5pt]}-{Latex[length=8pt, width=6pt]}] (c1) to (c2);
+ \draw [{Bar[Red,width=8pt]}-{Stealth[length=8pt, width=6pt]}] (d1) to (d2);
+\end{tikzpicture}
+\end{minipage}
+%
+% =====================================================================
+\subsection{Externalizing graphics}
+\label{Apx_tikzbasics_externalize}
+%
+\noindent
+Externalizing means that TikZ creates a separate PDF file
+for each \brocol\verb$tikzpicture$\txcol environment
+which it encounters in the document.
+That is, when a \brocol\verb$tikzpicture$\txcol is encountered,
+TikZ checks whether there is already a corresponding PDF,
+and if so, then it includes this PDF with \brocol\verb$\includegraphics$\txcol
+and ignores the code in the \brocol\verb$tikzpicture$\txcol,
+else it creates the corresponding PDF such that it can be used
+in the next LaTex run.
+Using the external PDFs can speed up the LaTex runs significantly.
+TikZ also takes care of vertically positioning the externalized PDFs
+according to the \brocol\verb$baseline$\txcol option
+when it is used with \brocol\verb$tikzpicture$\txcol
+(this is what the .dpth files are for).
+TikZ recognizes automatically when the TikZ code of a graphic has been modified,
+and generates fresh PDFs \emph{only} for these modified graphics in the next LaTex run.
+
+In order to activate externalizing, we need to load the library with
+\brocol\verb$\usetikzlibrary{external}$\txcol
+(which both TikZ-Feynman and FeynHand do automatically)
+and put a \brocol\verb$\tikzexternalize[prefix=graphics/tikz/]$\txcol
+somewhere above the \brocol\verb$\begin{document}$\txcol command.
+Here, we use the \brocol\verb$prefix$\txcol option
+for telling TikZ that we want the external files to be created
+in the subdirectory \brocol\verb$graphics/tikz/$\txcol of the current dirctory.
+It may come in handy to have the TikZ-generated files
+in a subfolder separate from the other external graphic files.
+For example, in order to assure that the final document contains
+the final version of all graphics, we can force TikZ to refresh them
+by deleting all external PDFs created by TikZ.
+Having these in the separate subfolder avoids deleting graphics from other sources.
+Alternatively, we can include \brocol\verb$\tikzset{external/force remake}$\txcol
+in the document's preamble to force refresh all external PDFs.
+Including \brocol\verb$\tikzset{external/force remake}$\txcol
+in a local Tex group force refreshes all external PDFs in this group
+(e.g.~an equation, figure or minipage environment).
+
+We also have to tell LaTex to use shell escaping
+in order to enable it to create the external files.
+TexLive ships with the TexWorks editor, in which this can be achieved
+by going to the Edit menu and selecting Preferences.
+Next choose the Typesetting rider, select PdfLatex in
+the Processing Tools window, and add the argument
+-shell-escape by clicking on the + button.
+Then, move it to the top of the list by clicking on the up-arrow button.
+This should look somewhat like Figure~\ref{Fig:_shell_escape}.
+%
+\begin{figure}
+ \centering
+ \includegraphics[width=0.75\linewidth]{shell_escape.jpg}
+ \caption{TexWorks screenshot.}
+ \label{Fig:_shell_escape}
+\end{figure}
+
+TikZ creates filenames automatically for the externalized PDFs.
+For later use of these, it is often preferrable
+to specify these filenames by hand with the
+\brocol\verb$\tikzsetnextfilename$\txcol command,
+which needs to be placed right above
+the \brocol\verb$\begin{tikzpicture}$\txcol
+of the corresponding graphic.
+For example, \brocol\verb$\tikzsetnextfilename{scatter}$\txcol
+tells TikZ to store the next graphic as \brocol\verb$scatter.pdf$\txcol
+
+Apart from speeding up LaTex runs, the external files can also be used
+for submissions to journals which do not support TikZ.
+One way of doing this works without modifying the graphics' code:
+Instead of \brocol\verb$\usepackage{tikz}$\txcol
+respectively \brocol\verb$\usepackage{feynhand}$\txcol
+we put \brocol\verb$\usepackage{tikzexternal}$\txcol
+and include the file \brocol\verb$tikzexternal.sty$\txcol
+in our submissions. It basically tells LaTex to ignore
+the code in the \brocol\verb$tikzpicture$\txcol environments
+and to use the external PDFs instead.
+%
+If this does not work, then another way is to replace the figures'
+\brocol\verb$tikzpicture$\txcol environments by
+\brocol\verb$\includegraphics{tikz/filename.pdf}$\txcol
+and the equations' \brocol\verb$tikzpicture$\txcol environments
+by \brocol\verb$\vcenterbox{\includegraphics{tikz/filename.pdf}}$\txcol
+commands, having defined in the preamble:
+%
+\brocol
+\begin{verbatim}
+ \graphicspath{{graphics/}} % mind the double brackets!
+ \newcommand{\vcenterbox}[2][0.5]{\raisebox{-#1\height}{#2}}
+ % \vcenterbox centers the box's content (argument #2) vertically on the baseline.
+ % The optional argument #1 is for fine adjustment:
+ % values between 0 and 0.5 raise the box's center above the baseline,
+ % values between 0.5 and 1 push the box's center below the baseline.
+\end{verbatim}
+\txcol
+%
+% =====================================================================
+% =====================================================================
+% ===== BIBLIOGRAPHY ==========================================
+%
+\begin{thebibliography}{}
+%
+\bibitem{tikz} J.~Cr{\'emer}: A very minimal introduction to TikZ,\;
+ T.~Tantau et al.: TikZ {\&} PGF Manual,\newline
+ both available at \texttt{https://www.ctan.org/pkg/pgf}
+%
+\bibitem{tikzfeynman} J.~Ellis: TikZ-Feynman package documentation,%\newline
+ available at \texttt{https://www.ctan.org/pkg/tikz-feynman}
+%
+\bibitem{tikzfeynmanArticle} J.~Ellis: TikZ-Feynman: Feynman diagrams with TikZ,
+ Computer Physics Comm. \textbf{210}, p.103-123, 2017.\newline
+ \texttt{https://doi.org/10.1016/j.cpc.2016.08.019}\newline
+ \texttt{http://arxiv.org/abs/1601.05437}
+%
+\end{thebibliography}{}
+%
+%
+% =====================================================================
+%
+\end{document}
+%
+%
+