This posts shows code examples of Feynman diagrams of Higgs boson decay. For a nice overview from the experimental point of view, have a look at this article by the CMS collaboration, published in Nature. For an overview of the branching fractions of Higgs decay, have a look at this page, or the Handbook of LHC Higgs Cross Sections. I made a pie chart of branching fractions here.
Click on a diagram to jump to the code & download links below:
\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\usepackage{xcolor}
\definecolor{colkappaf}{rgb}{1,0,0} % kappa_q (red)
\begin{document}
\begin{fmffile}{feyngraph}
\fmfframe(4,13)(2,13){ % padding (L,T)(R,B)
\begin{fmfgraph*}(70,60) % dimensions (WH)
% line style
\fmfset{wiggly_len}{12} % boson wavelength
\fmfset{wiggly_slope}{65} % boson slope of waves
% external vertices
\fmfleft{i}
\fmfright{o2,o1}
% main
\fmf{dashes,t=1.4}{i,v}
\fmf{fermion}{o2,v,o1}
% Higss coupling
\fmfv{decor.shape=circle,decor.filled=full,decor.size=4,f=(1,,0,,0),
l.d=5,l.a=115,l=\color{colkappaf}$\kappa_{f}$\hspace{-1pt}}{v}
% labels
\fmflabel{h}{i}
\fmfv{l.a=25,l.d=5,l=$f$}{o1}
\fmfv{l.a=-25,l.d=5,l=$\overline{f}$}{o2}
\end{fmfgraph*}
} % close \fmfframe
\end{fmffile}
\end{document}
\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\usepackage{xcolor}
\definecolor{colkappaf}{rgb}{1,0,0} % kappa_q (red)
\begin{document}
\begin{fmffile}{feyngraph}
\fmfframe(4,13)(2,13){ % padding (L,T)(R,B)
\begin{fmfgraph*}(70,60) % dimensions (WH)
% line style
\fmfset{wiggly_len}{12} % boson wavelength
\fmfset{wiggly_slope}{65} % boson slope of waves
% external vertices
\fmfleft{i}
\fmfright{o2,o1}
% main
\fmf{dashes,t=1.4}{i,v}
\fmf{fermion}{o2,v,o1}
% Higss coupling
\fmfv{decor.shape=circle,decor.filled=full,decor.size=4,f=(1,,0,,0),
l.d=5,l.a=115,l=\color{colkappaf}$\kappa_{\mathrm{b}}$\hspace{-1pt}}{v}
% labels
\fmflabel{h}{i}
\fmfv{l.a=25,l.d=5,l=b}{o1}
\fmfv{l.a=-25,l.d=5,l=$\overline{\mathrm{b}}$}{o2}
\end{fmfgraph*}
} % close \fmfframe
\end{fmffile}
\end{document}
\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\usepackage{xcolor}
\definecolor{colkappaf}{rgb}{1,0,0} % kappa_q (red)
\begin{document}
\begin{fmffile}{feyngraph}
\fmfframe(4,13)(2,13){ % padding (L,T)(R,B)
\begin{fmfgraph*}(70,60) % dimensions (WH)
% line style
\fmfset{wiggly_len}{12} % boson wavelength
\fmfset{wiggly_slope}{65} % boson slope of waves
% external vertices
\fmfleft{i}
\fmfright{o2,o1}
% main
\fmf{dashes,t=1.4}{i,v}
\fmf{fermion}{o2,v,o1}
% Higss coupling
\fmfv{decor.shape=circle,decor.filled=full,decor.size=4,f=(1,,0,,0),
l.d=5,l.a=115,l=\color{colkappaf}$\kappa_{\mu}$\hspace{-1pt}}{v}
% labels
\fmflabel{h}{i}
\fmfv{l.a=25,l.d=5,l=$\mu^+$}{o1}
\fmfv{l.a=-25,l.d=3,l=$\mu^-$}{o2}
\end{fmfgraph*}
} % close \fmfframe
\end{fmffile}
\end{document}
\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\usepackage{xcolor}
\definecolor{colkappaf}{rgb}{1,0,0} % kappa_q (red)
\begin{document}
\begin{fmffile}{feyngraph}
\fmfframe(4,13)(2,13){ % padding (L,T)(R,B)
\begin{fmfgraph*}(70,60) % dimensions (WH)
% line style
\fmfset{wiggly_len}{12} % boson wavelength
\fmfset{wiggly_slope}{65} % boson slope of waves
% external vertices
\fmfleft{i}
\fmfright{o2,o1}
% main
\fmf{dashes,t=1.4}{i,v}
\fmf{fermion}{o2,v,o1}
% Higss coupling
\fmfv{decor.shape=circle,decor.filled=full,decor.size=4,f=(1,,0,,0),
l.d=5,l.a=115,l=\color{colkappaf}$\kappa_{\tau}$\hspace{-1pt}}{v}
% labels
\fmflabel{h}{i}
\fmfv{l.a=25,l.d=5,l=$\tau^+$}{o1}
\fmfv{l.a=-25,l.d=3,l=$\tau^-$}{o2}
\end{fmfgraph*}
} % close \fmfframe
\end{fmffile}
\end{document}
\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\usepackage{xcolor}
\definecolor{colkappaV}{rgb}{.15,.75,.15} % kappa_V (green)
\begin{document}
\begin{fmffile}{feyngraph}
\fmfframe(4,13)(2,13){ % padding (L,T)(R,B)
\begin{fmfgraph*}(70,60) % dimensions (WH)
% line style
\fmfset{wiggly_len}{12} % boson wavelength
\fmfset{wiggly_slope}{65} % boson slope of waves
% external vertices
\fmfleft{i}
\fmfright{o2,o1}
% main
\fmf{dashes,t=1.4}{i,v}
\fmf{boson}{o1,v,o2}
% Higss coupling
\fmfv{decor.shape=circle,decor.filled=full,decor.size=4,f=(.15,,.75,,.15),
l.d=5,l.a=115,l=\color{colkappaV}$\kappa_V$}{v}
% labels
\fmflabel{h}{i}
\fmfv{l.a=25,l.d=5,l=$V$}{o1}
\fmfv{l.a=-25,l.d=5,l=$V$}{o2}
\end{fmfgraph*}
} % close \fmfframe
\end{fmffile}
\end{document}
\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\usepackage{xcolor}
\definecolor{colkappaV}{rgb}{.15,.75,.15} % kappa_V (green)
\begin{document}
\begin{fmffile}{feyngraph}
\fmfframe(3,14)(10,14){ % padding (L,T)(R,B)
\begin{fmfgraph*}(70,60) % dimensions (WH)
% line style
\fmfset{wiggly_len}{12} % boson wavelength
\fmfset{wiggly_slope}{65} % boson slope of waves
% external vertices
\fmfleft{i}
\fmfright{o2,o1}
% main
\fmf{dashes,t=1.4}{i,v}
\fmf{boson}{o1,v,o2}
% Higss coupling
\fmfv{decor.shape=circle,decor.filled=full,decor.size=4,f=(.15,,.75,,.15),
l.d=5,l.a=115,l=\color{colkappaV}$\kappa_\mathrm{W}$\hspace{-1pt}}{v}
% labels
\fmflabel{h}{i}
\fmfv{l.a=25,l.d=5,l=W$^+$}{o1}
\fmfv{l.a=-25,l.d=5,l=W$^-$}{o2}
\end{fmfgraph*}
} % close \fmfframe
\end{fmffile}
\end{document}
\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\usepackage{xcolor}
\definecolor{colkappaV}{rgb}{.15,.75,.15} % kappa_V (green)
\begin{document}
\begin{fmffile}{feyngraph}
\fmfframe(4,13)(2,13){ % padding (L,T)(R,B)
\begin{fmfgraph*}(70,60) % dimensions (WH)
% line style
\fmfset{wiggly_len}{12} % boson wavelength
\fmfset{wiggly_slope}{65} % boson slope of waves
% external vertices
\fmfleft{i}
\fmfright{o2,o1}
% main
\fmf{dashes,t=1.4}{i,v}
\fmf{boson}{o1,v,o2}
% Higss coupling
\fmfv{decor.shape=circle,decor.filled=full,decor.size=4,f=(.15,,.75,,.15),
l.d=5,l.a=115,l=\color{colkappaV}$\kappa_\mathrm{Z}$\hspace{-1pt}}{v}
% labels
\fmflabel{h}{i}
\fmfv{l.a=25,l.d=5,l=Z}{o1}
\fmfv{l.a=-25,l.d=5,l=Z}{o2}
\end{fmfgraph*}
} % close \fmfframe
\end{fmffile}
\end{document}
\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\usepackage{xcolor}
\definecolor{colkappaV}{rgb}{.15,.75,.15} % kappa_V (green)
\begin{document}
\begin{fmffile}{feyngraph}
\fmfframe(6,12)(14,12){ % padding (L,T)(R,B)
\begin{fmfgraph*}(100,100) % dimensions (WH)
% line style
\fmfset{wiggly_len}{12} % boson wavelength
\fmfset{wiggly_slope}{65} % boson slope of waves
% external vertices
\fmfstraight
\fmfleft{i2,i,i1}
\fmfright{o4,o3,o2,o1}
% main
\fmf{dashes,t=2}{i,v}
\fmf{boson,t=1.5,l.d=5,l.s=right,label=Z}{v1,v,v2}
\fmf{fermion,t=3}{o2,v1,o1}
\fmf{fermion,t=3}{o4,v2,o3}
\fmf{phantom,t=3}{v1,i1,i2,v2} % pull Zll vertices to left
% Higss coupling
\fmfv{decor.shape=circle,decor.filled=full,decor.size=4,f=(.15,,.75,,.15),
l.d=6,l.a=-10,l=\color{colkappaV}$\kappa_Z$}{v}
% labels
\fmflabel{h}{i}
\fmfv{l.a=20,l.d=5,l=\vspace{4pt}\strut$\ell^-$}{o1}
\fmfv{l.a=-20,l.d=5,l=\vspace{-6pt}\strut$\ell^+$}{o2}
\fmfv{l.a=20,l.d=5,l=\vspace{4pt}\strut$\ell^-$}{o3}
\fmfv{l.a=-20,l.d=5,l=\vspace{-6pt}\strut$\ell^+$}{o4}
\end{fmfgraph*}
} % close \fmfframe
\end{fmffile}
\end{document}
\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\usepackage{xcolor}
\definecolor{colkappaV}{rgb}{.15,.75,.15} % kappa_V (green)
\begin{document}
\begin{fmffile}{feyngraph}
\fmfframe(6,12)(14,12){ % padding (L,T)(R,B)
\begin{fmfgraph*}(100,100) % dimensions (WH)
% line style
\fmfset{wiggly_len}{12} % boson wavelength
\fmfset{wiggly_slope}{65} % boson slope of waves
% external vertices
\fmfstraight
\fmfleft{i2,i,i1}
\fmfright{o4,o3,o2,o1}
% main
\fmf{dashes,t=2}{i,v}
\fmf{boson,t=1.5,l.d=5,l.s=right,label=Z}{v1,v,v2}
\fmf{fermion,t=3}{o2,v1,o1}
\fmf{fermion,t=3}{o4,v2,o3}
\fmf{phantom,t=3}{v1,i1,i2,v2} % pull Zll vertices to left
% Higss coupling
\fmfv{decor.shape=circle,decor.filled=full,decor.size=4,f=(.15,,.75,,.15),
l.d=6,l.a=-10,l=\color{colkappaV}$\kappa_Z$}{v}
% labels
\fmflabel{h}{i}
\fmfv{l.a=20,l.d=5,l=\vspace{4pt}\strut$\mu^-$}{o1}
\fmfv{l.a=-20,l.d=5,l=\vspace{-6pt}\strut$\mu^+$}{o2}
\fmfv{l.a=20,l.d=5,l=\vspace{4pt}\strut$\mu^-$}{o3}
\fmfv{l.a=-20,l.d=5,l=\vspace{-6pt}\strut$\mu^+$}{o4}
\end{fmfgraph*}
} % close \fmfframe
\end{fmffile}
\end{document}
\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\usepackage{xcolor}
\definecolor{colkappaV}{rgb}{.15,.75,.15} % kappa_V (green)
\begin{document}
\begin{fmffile}{feyngraph}
\fmfframe(5,8)(20,8){ % padding (L,T)(R,B)
\begin{fmfgraph*}(110,50) % dimensions (WH)
% line style
\fmfset{wiggly_len}{12} % boson wavelength
\fmfset{wiggly_slope}{65} % boson slope of waves
% external vertices
\fmfstraight
\fmfleft{i2,i,i1}
\fmfright{o2,o1}
% skeleton
\fmf{phantom,t=0.5}{v1,i1,i2,v2} % pull Wyy vertices to left
\fmf{boson}{v1,o1}
\fmf{boson}{v2,o2}
\fmffreeze
% main
\fmf{dashes,t=2.1}{i,v} % Higgs boson
\fmf{boson,l.s=left,label=W}{v,v1,v2,v} % triangle loop
% Higss coupling
\fmfv{decor.shape=circle,decor.filled=full,decor.size=4,f=(.15,,.75,,.15),
l.d=5,l.a=115,l=\color{colkappaV}$\kappa_\mathrm{W}$\hspace{-1pt}}{v}
% labels
\fmflabel{h}{i}
\fmfv{l.a=0,l.d=5,l=$\gamma$,, Z}{o1}
\fmfv{l.a=0,l.d=5,l=$\gamma$}{o2}
\end{fmfgraph*}
} % close \fmfframe
\end{fmffile}
\end{document}
\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\usepackage{xcolor}
\definecolor{colkappaf}{rgb}{1,0,0} % kappa_q (red)
\begin{document}
\begin{fmffile}{feyngraph}
\fmfframe(5,8)(20,8){ % padding (L,T)(R,B)
\begin{fmfgraph*}(110,50) % dimensions (WH)
% line style
\fmfset{wiggly_len}{12} % boson wavelength
\fmfset{wiggly_slope}{65} % boson slope of waves
% external vertices
\fmfstraight
\fmfleft{i2,i,i1}
\fmfright{o2,o1}
% skeleton
\fmf{phantom,t=0.5}{v1,i1,i2,v2} % pull Wyy vertices to left
\fmf{boson}{v1,o1}
\fmf{boson}{v2,o2}
\fmffreeze
% main
\fmf{dashes,t=2.1}{i,v} % Higgs boson
\fmf{fermion,l.s=left,label=t}{v,v1,v2,v} % triangle loop
% Higss coupling
\fmfv{decor.shape=circle,decor.filled=full,decor.size=4,f=(1,,0,,0),
l.d=5,l.a=115,l=\color{colkappaf}$\kappa_\mathrm{t}$\hspace{-1pt}}{v}
% labels
\fmflabel{h}{i}
\fmfv{l.a=0,l.d=5,l=$\gamma$,, Z}{o1}
\fmfv{l.a=0,l.d=5,l=$\gamma$}{o2}
\end{fmfgraph*}
} % close \fmfframe
\end{fmffile}
\end{document}
Full code
The LaTeX code below collects all the diagrams above into one big file that produces a multipage PDF. Please find download links below, or edit and compile here if you like:
% !TEX program = pdflatexmk
% !TEX parameter = -shell-escape
% Author: Izaak Neutelings (August 2024)
% Sources:
% https://twiki.cern.ch/twiki/bin/view/LHCPhysics/CrossSections
% Instructions: To compile via command line, run the following twice
% pdflatex -shell-escapeh higgs_pair_pp.tex
\documentclass[11pt,border=4pt,multi=page,crop]{standalone}
\usepackage{feynmp-auto}
% DEFINE TEXT COLORS
\usepackage{xcolor}
\definecolor{colkappaf}{rgb}{1,0,0} % kappa_q (red)
\definecolor{colkappaV}{rgb}{.15,.75,.15} % kappa_V (green)
% DEFINE COLOR MACROS
% The following loops over the user color names and defines
% a handy \<colname> command to set text color, as well as
% defines colors in MetaPost of the same and value for lines
\usepackage{pgffor} % for \foreach
\def\MPcolors{} % MetaPost code importing xcolor names
\foreach \colname in {colkappaf,colkappaV}{ % create command & MetaPost code
\expandafter\xdef\csname\colname\endcsname{\noexpand\color{\colname}}% \newcommand\<colname>
\convertcolorspec{named}{\colname}{rgb}\tmprgb % get rgb code
\xdef\MPcolors{\MPcolors color \colname; \colname := (\tmprgb); } % add color name
}
% DEFINE fmfpicture ENVIRONMENT
% The following defines a custom picture environment that
% helps to create standalone pages with common settings,
% and correctly padding the diagram with \fmfframe
\usepackage{environ} % for \NewEnviron
\NewEnviron{fmfpicture}[3]{%
\begin{page} % to create standalone page
\fmfframe(#1)(#2){ % padding (LT)(RB)
\begin{fmffile}{feynmp-#3} % auxiliary files (use unique name!)
\fmfset{wiggly_len}{12} % boson wavelength
\fmfset{wiggly_slope}{65} % boson slope of waves
\fmfcmd\MPcolors % define custom line colors in MetaPost (does not work in \fmfv)
\BODY % main code
\end{fmffile}
}
\end{page}
}
\begin{document}
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%% HIGGS TO FERMIONS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% HIGGS DECAY - h -> ff
\foreach \f in {f,\mathrm{b}}{ % loop over quark flavor
\begin{fmfpicture}{4,13}{2,13}{h-ff} % padding (LTRB)
\begin{fmfgraph*}(70,60) % dimensions (WH)
% external vertices
\fmfleft{i}
\fmfright{o2,o1}
% main
\fmf{dashes,t=1.4}{i,v}
\fmf{fermion}{o2,v,o1}
% Higss coupling
\fmfv{decor.shape=circle,decor.filled=full,decor.size=4,f=colkappaf,
l.d=5,l.a=115,l=\colkappaf$\kappa_{\f}$\hspace{-1pt}}{v}
% labels
\fmflabel{h}{i}
\fmfv{l.a=25,l.d=5,l=$\f$}{o1}
\fmfv{l.a=-25,l.d=5,l=$\overline{\f}$}{o2}
\end{fmfgraph*}
\end{fmfpicture}
} % close \foreach loop
% HIGGS DECAY - h -> ff
\foreach \lep in {\mu,\tau}{ % loop over quark flavor
\begin{fmfpicture}{4,13}{2,13}{h-ll} % padding (LTRB)
\begin{fmfgraph*}(70,60) % dimensions (WH)
% external vertices
\fmfleft{i}
\fmfright{o2,o1}
% main
\fmf{dashes,t=1.4}{i,v}
\fmf{fermion}{o2,v,o1}
% Higss coupling
\fmfv{decor.shape=circle,decor.filled=full,decor.size=4,f=colkappaf,
l.d=5,l.a=115,l=\colkappaf$\kappa_{\lep}$\hspace{-1pt}}{v}
% labels
\fmflabel{h}{i}
\fmfv{l.a=25,l.d=5,l=$\lep^+$}{o1}
\fmfv{l.a=-25,l.d=3,l=$\lep^-$}{o2}
\end{fmfgraph*}
\end{fmfpicture}
} % close \foreach loop
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%% HIGGS TO WEAK BOSONS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% HIGGS DECAY - h -> VV
\begin{fmfpicture}{4,13}{2,13}{h-vv} % padding (LTRB)
\begin{fmfgraph*}(70,60) % dimensions (WH)
% external vertices
\fmfleft{i}
\fmfright{o2,o1}
% main
\fmf{dashes,t=1.4}{i,v}
\fmf{boson}{o1,v,o2}
% Higss coupling
\fmfv{decor.shape=circle,decor.filled=full,decor.size=4,f=colkappaV,
l.d=5,l.a=115,l=\colkappaV$\kappa_V$}{v}
% labels
\fmflabel{h}{i}
\fmfv{l.a=25,l.d=5,l=$V$}{o1}
\fmfv{l.a=-25,l.d=5,l=$V$}{o2}
\end{fmfgraph*}
\end{fmfpicture}
% HIGGS DECAY - h -> WW
\begin{fmfpicture}{3,14}{10,14}{h-ww} % padding (LTRB)
\begin{fmfgraph*}(70,60) % dimensions (WH)
% external vertices
\fmfleft{i}
\fmfright{o2,o1}
% main
\fmf{dashes,t=1.4}{i,v}
\fmf{boson}{o1,v,o2}
% Higss coupling
\fmfv{decor.shape=circle,decor.filled=full,decor.size=4,f=colkappaV,
l.d=5,l.a=115,l=\colkappaV$\kappa_\mathrm{W}$\hspace{-1pt}}{v}
% labels
\fmflabel{h}{i}
\fmfv{l.a=25,l.d=5,l=W$^+$}{o1}
\fmfv{l.a=-25,l.d=5,l=W$^-$}{o2}
\end{fmfgraph*}
\end{fmfpicture}
% HIGGS DECAY - h -> VV
\begin{fmfpicture}{4,13}{2,13}{h-zz} % padding (LTRB)
\begin{fmfgraph*}(70,60) % dimensions (WH)
% external vertices
\fmfleft{i}
\fmfright{o2,o1}
% main
\fmf{dashes,t=1.4}{i,v}
\fmf{boson}{o1,v,o2}
% Higss coupling
\fmfv{decor.shape=circle,decor.filled=full,decor.size=4,f=colkappaV,
l.d=5,l.a=115,l=\colkappaV$\kappa_\mathrm{Z}$\hspace{-1pt}}{v}
% labels
\fmflabel{h}{i}
\fmfv{l.a=25,l.d=5,l=Z}{o1}
\fmfv{l.a=-25,l.d=5,l=Z}{o2}
\end{fmfgraph*}
\end{fmfpicture}
% HIGGS DECAY - h -> ZZ -> llll
\foreach \lep in {\ell,\mu}{ % loop over quark flavor
\begin{fmfpicture}{6,12}{14,12}{h-ZZ-llll} % padding (LTRB)
\begin{fmfgraph*}(100,100) % dimensions (WH)
% external vertices
\fmfstraight
\fmfleft{i2,i,i1}
\fmfright{o4,o3,o2,o1}
% main
\fmf{dashes,t=2}{i,v}
\fmf{boson,t=1.5,l.d=5,l.s=right,label=Z}{v1,v,v2}
\fmf{fermion,t=3}{o2,v1,o1}
\fmf{fermion,t=3}{o4,v2,o3}
\fmf{phantom,t=3}{v1,i1,i2,v2} % pull Zll vertices to left
% Higss coupling
\fmfv{decor.shape=circle,decor.filled=full,decor.size=4,f=colkappaV,
l.d=6,l.a=-10,l=\colkappaV$\kappa_Z$}{v}
% labels
\fmflabel{h}{i}
\fmfv{l.a=20,l.d=5,l=\vspace{4pt}\strut$\lep^-$}{o1}
\fmfv{l.a=-20,l.d=5,l=\vspace{-6pt}\strut$\lep^+$}{o2}
\fmfv{l.a=20,l.d=5,l=\vspace{4pt}\strut$\lep^-$}{o3}
\fmfv{l.a=-20,l.d=5,l=\vspace{-6pt}\strut$\lep^+$}{o4}
\end{fmfgraph*}
\end{fmfpicture}
} % close \foreach loop
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%% HIGGS TO PHOTONS %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% HIGGS DECAY - h -> WW -> yy
\begin{fmfpicture}{5,8}{20,8}{h-ww-yy} % padding (LTRB)
\begin{fmfgraph*}(110,50) % dimensions (WH)
% external vertices
\fmfstraight
\fmfleft{i2,i,i1}
\fmfright{o2,o1}
% skeleton
\fmf{phantom,t=0.5}{v1,i1,i2,v2} % pull Wyy vertices to left
\fmf{boson}{v1,o1}
\fmf{boson}{v2,o2}
\fmffreeze
% main
\fmf{dashes,t=2.1}{i,v} % Higgs boson
\fmf{boson,l.s=left,label=W}{v,v1,v2,v} % triangle loop
% Higss coupling
\fmfv{decor.shape=circle,decor.filled=full,decor.size=4,f=colkappaV,
l.d=5,l.a=115,l=\colkappaV$\kappa_\mathrm{W}$\hspace{-1pt}}{v}
% labels
\fmflabel{h}{i}
\fmfv{l.a=0,l.d=5,l=$\gamma$,, Z}{o1}
\fmfv{l.a=0,l.d=5,l=$\gamma$}{o2}
\end{fmfgraph*}
\end{fmfpicture}
% HIGGS DECAY - h -> tt -> yy
\begin{fmfpicture}{5,8}{20,8}{h-tt-yy} % padding (LTRB)
\begin{fmfgraph*}(110,50) % dimensions (WH)
% external vertices
\fmfstraight
\fmfleft{i2,i,i1}
\fmfright{o2,o1}
% skeleton
\fmf{phantom,t=0.5}{v1,i1,i2,v2} % pull Wyy vertices to left
\fmf{boson}{v1,o1}
\fmf{boson}{v2,o2}
\fmffreeze
% main
\fmf{dashes,t=2.1}{i,v} % Higgs boson
\fmf{fermion,l.s=left,label=t}{v,v1,v2,v} % triangle loop
% Higss coupling
\fmfv{decor.shape=circle,decor.filled=full,decor.size=4,f=colkappaf,
l.d=5,l.a=115,l=\colkappaf$\kappa_\mathrm{t}$\hspace{-1pt}}{v}
% labels
\fmflabel{h}{i}
\fmfv{l.a=0,l.d=5,l=$\gamma$,, Z}{o1}
\fmfv{l.a=0,l.d=5,l=$\gamma$}{o2}
\end{fmfgraph*}
\end{fmfpicture}
\end{document}Click to download: higgs_decay.tex • higgs_decay.pdf
Open in Overleaf: higgs_decay.tex
