Four top & ttbb production in pp

by Posted on

This posts shows code examples of Feynman diagrams of four top quark production in proton-proton collisions, as well ass ttbar plus bbbar production. For a nice overview from the experimental point of view, have a look at this review article by the CMS collaboration, published in Physics Reports.

Click on a diagram to jump to the code & download links below:
ttbarqqbar-001.png ttbarqqbar-002.png ttbarqqbar-003.png ttbarqqbar-004.png ttbarqqbar-005.png ttbarqqbar-006.png ttbarqqbar-007.png ttbarqqbar-008.png ttbarqqbar-009.png ttbarqqbar-010.png ttbarqqbar-011.png ttbarqqbar-012.png ttbarqqbar-013.png ttbarqqbar-014.png ttbarqqbar-015.png ttbarqqbar-016.png ttbarqqbar-017.png ttbarqqbar-018.png ttbarqqbar-019.png ttbarqqbar-020.png ttbarqqbar-021.png ttbarqqbar-022.png

From two gluons

Gluon fusion, s-channel:

\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\begin{document}
\begin{fmffile}{feyngraph}
  \fmfframe(2,12)(6,9){ % padding (L,T)(R,B)
  \begin{fmfgraph*}(120,100) % dimensions (WH)
    % line style
    \fmfset{wiggly_len}{13} % boson wavelength
    \fmfset{wiggly_slope}{68} % boson slope of waves
    % external vertices
    \fmfstraight
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{17 down}{i1}
    \fmfshift{17 up}{i2}
    % internal vertices (exact placement)
    \fmfforce{(.76w,.83h)}{vq1} % exact placement
    \fmfforce{(.76w,.17h)}{vq2} % exact placement
    % main
    \fmf{gluon,t=1.2}{v1,i1}
    \fmf{gluon,t=1.2}{v1,i2}
    \fmf{gluon,t=1.1}{v1,v2} % s-channel
    \fmf{gluon}{vq1,v2}
    \fmf{gluon}{vq2,v2}
    % g -> tt
    \fmf{fermion}{o2,vq1,o1}
    \fmf{fermion}{o4,vq2,o3}
    % labels
    \fmfv{l.a=150,l.d=5,l=$g$}{i1}
    \fmfv{l.a=-150,l.d=5,l=$g$}{i2}
    \fmfv{l.a=30,l.d=5,l=t}{o1}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{t}}$}{o2}
    \fmfv{l.a=30,l.d=5,l=t}{o3}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{t}}$}{o4}
  \end{fmfgraph*}
  } % close \fmfframe
\end{fmffile}
\end{document}
Download as .png, .pdf, or .tex. 

\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\begin{document}
\begin{fmffile}{feyngraph}
  \fmfframe(2,12)(6,9){ % padding (L,T)(R,B)
  \begin{fmfgraph*}(120,100) % dimensions (WH)
    % line style
    \fmfset{wiggly_len}{13} % boson wavelength
    \fmfset{wiggly_slope}{68} % boson slope of waves
    % external vertices
    \fmfstraight
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{17 down}{i1}
    \fmfshift{17 up}{i2}
    % internal vertices (exact placement)
    \fmfforce{(.76w,.83h)}{vq1} % exact placement
    \fmfforce{(.76w,.17h)}{vq2} % exact placement
    % main
    \fmf{gluon,t=1.2}{v1,i1}
    \fmf{gluon,t=1.2}{v1,i2}
    \fmf{gluon,t=1.1}{v1,v2} % s-channel
    \fmf{gluon}{vq1,v2}
    \fmf{gluon}{vq2,v2}
    % g -> tt
    \fmf{fermion}{o2,vq1,o1}
    \fmf{fermion}{o4,vq2,o3}
    % labels
    \fmfv{l.a=150,l.d=5,l=$g$}{i1}
    \fmfv{l.a=-150,l.d=5,l=$g$}{i2}
    \fmfv{l.a=30,l.d=5,l=t}{o1}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{t}}$}{o2}
    \fmfv{l.a=30,l.d=5,l=b}{o3}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{b}}$}{o4}
  \end{fmfgraph*}
  } % close \fmfframe
\end{fmffile}
\end{document}
Download as .png, .pdf, or .tex.

Quark-antiquark annihilation, s-channel:
\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\begin{document}
\begin{fmffile}{feyngraph}
  \fmfframe(4,12)(8,9){ % padding (L,T)(R,B)
  \begin{fmfgraph*}(120,100) % dimensions (WH)
    % line style
    \fmfset{wiggly_len}{13} % boson wavelength
    \fmfset{wiggly_slope}{68} % boson slope of waves
    % external vertices
    \fmfstraight
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{17 down}{i1}
    \fmfshift{17 up}{i2}
    % internal vertices (exact placement)
    \fmfforce{(.76w,.83h)}{vq1} % exact placement
    \fmfforce{(.76w,.17h)}{vq2} % exact placement
    % main
    \fmf{fermion,t=1.2}{i1,v1,i2}
    \fmf{gluon,t=1.1}{v1,v2} % s-channel
    \fmf{gluon}{vq1,v2}
    \fmf{gluon}{vq2,v2}
    % g -> tt
    \fmf{fermion}{o2,vq1,o1}
    \fmf{fermion}{o4,vq2,o3}
    % labels
    \fmfv{l.a=150,l.d=5,l=$q$}{i1}
    \fmfv{l.a=-150,l.d=5,l=$\overline{q}'$}{i2}
    \fmfv{l.a=30,l.d=5,l=t}{o1}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{t}}$}{o2}
    \fmfv{l.a=30,l.d=5,l=t}{o3}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{t}}$}{o4}
  \end{fmfgraph*}
  } % close \fmfframe
\end{fmffile}
\end{document}
Download as .png, .pdf, or .tex. 

\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\begin{document}
\begin{fmffile}{feyngraph}
  \fmfframe(4,12)(8,9){ % padding (L,T)(R,B)
  \begin{fmfgraph*}(120,100) % dimensions (WH)
    % line style
    \fmfset{wiggly_len}{13} % boson wavelength
    \fmfset{wiggly_slope}{68} % boson slope of waves
    % external vertices
    \fmfstraight
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{17 down}{i1}
    \fmfshift{17 up}{i2}
    % internal vertices (exact placement)
    \fmfforce{(.76w,.83h)}{vq1} % exact placement
    \fmfforce{(.76w,.17h)}{vq2} % exact placement
    % main
    \fmf{fermion,t=1.2}{i1,v1,i2}
    \fmf{gluon,t=1.1}{v1,v2} % s-channel
    \fmf{gluon}{vq1,v2}
    \fmf{gluon}{vq2,v2}
    % g -> tt
    \fmf{fermion}{o2,vq1,o1}
    \fmf{fermion}{o4,vq2,o3}
    % labels
    \fmfv{l.a=150,l.d=5,l=$q$}{i1}
    \fmfv{l.a=-150,l.d=5,l=$\overline{q}'$}{i2}
    \fmfv{l.a=30,l.d=5,l=t}{o1}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{t}}$}{o2}
    \fmfv{l.a=30,l.d=5,l=b}{o3}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{b}}$}{o4}
  \end{fmfgraph*}
  } % close \fmfframe
\end{fmffile}
\end{document}
Download as .png, .pdf, or .tex.

Gluon fusion, t-channel:
\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\begin{document}
\begin{fmffile}{feyngraph}
  \fmfframe(2,12)(6,10){ % padding (L,T)(R,B)
  \begin{fmfgraph*}(105,80) % dimensions (WH)
    % line style
    \fmfset{wiggly_len}{13} % boson wavelength
    \fmfset{wiggly_slope}{68} % boson slope of waves
    % external vertices
    \fmfstraight
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{8 down}{i1}
    \fmfshift{8 up}{i2}
    % internal vertices (exact placement)
    %\fmfforce{(.30w,.80h)}{v1} % exact placement
    %\fmfforce{(.30w,.20h)}{v2} % exact placement
    \fmfforce{(.72w,.83h)}{vq1} % exact placement
    \fmfforce{(.72w,.17h)}{vq2} % exact placement
    % main
    \fmf{gluon,t=1.1}{v1,i1}
    \fmf{gluon,t=1.1}{i2,v2}
    \fmf{gluon,t=0.7}{v1,v2} % t-channel
    \fmf{gluon}{vq1,v1}
    \fmf{gluon}{v2,vq2}
    % g -> tt
    \fmf{fermion}{o2,vq1,o1}
    \fmf{fermion}{o4,vq2,o3}
    % labels
    \fmfv{l.a=150,l.d=5,l=$g$}{i1}
    \fmfv{l.a=-150,l.d=5,l=$g$}{i2}
    \fmfv{l.a=30,l.d=5,l=t}{o1}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{t}}$}{o2}
    \fmfv{l.a=30,l.d=5,l=t}{o3}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{t}}$}{o4}
  \end{fmfgraph*}
  } % close \fmfframe
\end{fmffile}
\end{document}
Download as .png, .pdf, or .tex. 

\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\begin{document}
\begin{fmffile}{feyngraph}
  \fmfframe(2,12)(6,10){ % padding (L,T)(R,B)
  \begin{fmfgraph*}(105,80) % dimensions (WH)
    % line style
    \fmfset{wiggly_len}{13} % boson wavelength
    \fmfset{wiggly_slope}{68} % boson slope of waves
    % external vertices
    \fmfstraight
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{8 down}{i1}
    \fmfshift{8 up}{i2}
    % internal vertices (exact placement)
    %\fmfforce{(.30w,.80h)}{v1} % exact placement
    %\fmfforce{(.30w,.20h)}{v2} % exact placement
    \fmfforce{(.72w,.83h)}{vq1} % exact placement
    \fmfforce{(.72w,.17h)}{vq2} % exact placement
    % main
    \fmf{gluon,t=1.1}{v1,i1}
    \fmf{gluon,t=1.1}{i2,v2}
    \fmf{gluon,t=0.7}{v1,v2} % t-channel
    \fmf{gluon}{vq1,v1}
    \fmf{gluon}{v2,vq2}
    % g -> tt
    \fmf{fermion}{o2,vq1,o1}
    \fmf{fermion}{o4,vq2,o3}
    % labels
    \fmfv{l.a=150,l.d=5,l=$g$}{i1}
    \fmfv{l.a=-150,l.d=5,l=$g$}{i2}
    \fmfv{l.a=30,l.d=5,l=t}{o1}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{t}}$}{o2}
    \fmfv{l.a=30,l.d=5,l=b}{o3}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{b}}$}{o4}
  \end{fmfgraph*}
  } % close \fmfframe
\end{fmffile}
\end{document}
Download as .png, .pdf, or .tex.

Quark-antiquark annihilation, t-channel:
\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\begin{document}
\begin{fmffile}{feyngraph}
  \fmfframe(4,12)(7,10){ % padding (L,T)(R,B)
  \begin{fmfgraph*}(105,80) % dimensions (WH)
    % line style
    \fmfset{wiggly_len}{13} % boson wavelength
    \fmfset{wiggly_slope}{68} % boson slope of waves
    % external vertices
    \fmfstraight
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{8 down}{i1}
    \fmfshift{8 up}{i2}
    % internal vertices (exact placement)
    %\fmfforce{(.30w,.80h)}{v1} % exact placement
    %\fmfforce{(.30w,.20h)}{v2} % exact placement
    \fmfforce{(.72w,.83h)}{vq1} % exact placement
    \fmfforce{(.72w,.17h)}{vq2} % exact placement
    % main
    \fmf{fermion,t=1.1}{i1,v1}
    \fmf{fermion,t=1.1}{v2,i2}
    \fmf{fermion,t=0.7}{v1,v2} % t-channel
    \fmf{gluon}{vq1,v1}
    \fmf{gluon}{v2,vq2}
    % g -> tt
    \fmf{fermion}{o2,vq1,o1}
    \fmf{fermion}{o4,vq2,o3}
    % labels
    \fmfv{l.a=150,l.d=5,l=$q$}{i1}
    \fmfv{l.a=-150,l.d=5,l=$\overline{q}'$}{i2}
    \fmfv{l.a=30,l.d=5,l=t}{o1}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{t}}$}{o2}
    \fmfv{l.a=30,l.d=5,l=t}{o3}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{t}}$}{o4}
  \end{fmfgraph*}
  } % close \fmfframe
\end{fmffile}
\end{document}
Download as .png, .pdf, or .tex. 

\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\begin{document}
\begin{fmffile}{feyngraph}
  \fmfframe(4,12)(7,10){ % padding (L,T)(R,B)
  \begin{fmfgraph*}(105,80) % dimensions (WH)
    % line style
    \fmfset{wiggly_len}{13} % boson wavelength
    \fmfset{wiggly_slope}{68} % boson slope of waves
    % external vertices
    \fmfstraight
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{8 down}{i1}
    \fmfshift{8 up}{i2}
    % internal vertices (exact placement)
    %\fmfforce{(.30w,.80h)}{v1} % exact placement
    %\fmfforce{(.30w,.20h)}{v2} % exact placement
    \fmfforce{(.72w,.83h)}{vq1} % exact placement
    \fmfforce{(.72w,.17h)}{vq2} % exact placement
    % main
    \fmf{fermion,t=1.1}{i1,v1}
    \fmf{fermion,t=1.1}{v2,i2}
    \fmf{fermion,t=0.7}{v1,v2} % t-channel
    \fmf{gluon}{vq1,v1}
    \fmf{gluon}{v2,vq2}
    % g -> tt
    \fmf{fermion}{o2,vq1,o1}
    \fmf{fermion}{o4,vq2,o3}
    % labels
    \fmfv{l.a=150,l.d=5,l=$q$}{i1}
    \fmfv{l.a=-150,l.d=5,l=$\overline{q}'$}{i2}
    \fmfv{l.a=30,l.d=5,l=t}{o1}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{t}}$}{o2}
    \fmfv{l.a=30,l.d=5,l=b}{o3}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{b}}$}{o4}
  \end{fmfgraph*}
  } % close \fmfframe
\end{fmffile}
\end{document}
Download as .png, .pdf, or .tex.

Associated production with s-channel

Associated production, with gluon s-channel:

\begin{fmfpicture}{-9,11}{2,12}{ttqq_gg-ttg-{t}tt\q_schan} % padding (LTRB)
  \begin{fmfgraph*}(120,80) % dimensions (WH)
    % external vertices
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{2 up}{o1,o2}
    \fmfshift{2 down}{o4,o3}
    % skeleton
    \fmf{gluon,t=1.9}{v1,i1}
    \fmf{gluon,t=1.9}{i2,v2}
    \fmf{fermion}{v1,o1}
    \fmf{fermion}{o4,v2}
    % ttbar -> g -> ttbar
    \fmf{fermion}{v2,v,v1}
    \fmf{gluon,t=0.85}{v',v} % s-channel
    \fmf{fermion}{o3,v',o2}
    % labels
    \fmfv{l.a=158,l.d=6,l=$g$}{i1}
    \fmfv{l.a=-158,l.d=6,l=$g$}{i2}
    \fmfv{l.a=22,l.d=6,l=t}{o1}
    \fmfv{l.a=25,l.d=4,l=t}{o2}
    \fmfv{l.a=-20,l.d=4,l=$\overline{\mathrm{t}}$}{o3}
    \fmfv{l.a=-22,l.d=6,l=$\overline{\mathrm{t}}$}{o4}
  \end{fmfgraph*}
\end{fmfpicture}
\end{document}
Download as .png, .pdf, or .tex. 

\begin{fmfpicture}{-9,11}{2,12}{ttqq_gg-ttg-{b}tt\q_schan} % padding (LTRB)
  \begin{fmfgraph*}(120,80) % dimensions (WH)
    % external vertices
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{2 up}{o1,o2}
    \fmfshift{2 down}{o4,o3}
    % skeleton
    \fmf{gluon,t=1.9}{v1,i1}
    \fmf{gluon,t=1.9}{i2,v2}
    \fmf{fermion}{v1,o1}
    \fmf{fermion}{o4,v2}
    % ttbar -> g -> ttbar
    \fmf{fermion}{v2,v,v1}
    \fmf{gluon,t=0.85}{v',v} % s-channel
    \fmf{fermion}{o3,v',o2}
    % labels
    \fmfv{l.a=158,l.d=6,l=$g$}{i1}
    \fmfv{l.a=-158,l.d=6,l=$g$}{i2}
    \fmfv{l.a=22,l.d=6,l=b}{o1}
    \fmfv{l.a=25,l.d=4,l=t}{o2}
    \fmfv{l.a=-20,l.d=4,l=$\overline{\mathrm{t}}$}{o3}
    \fmfv{l.a=-22,l.d=6,l=$\overline{\mathrm{b}}$}{o4}
  \end{fmfgraph*}
\end{fmfpicture}
\end{document}
Download as .png, .pdf, or .tex. 

\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\begin{document}
\begin{fmffile}{feyngraph}
  \fmfframe(-9,11)(4,12){ % padding (L,T)(R,B)
  \begin{fmfgraph*}(120,80) % dimensions (WH)
    % line style
    \fmfset{wiggly_len}{13} % boson wavelength
    \fmfset{wiggly_slope}{68} % boson slope of waves
    % external vertices
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{2 up}{o1,o2}
    \fmfshift{2 down}{o4,o3}
    % skeleton
    \fmf{gluon,t=1.9}{v1,i1}
    \fmf{gluon,t=1.9}{i2,v2}
    \fmf{fermion}{v1,o1}
    \fmf{fermion}{o4,v2}
    % ttbar -> g -> ttbar
    \fmf{fermion}{v2,v,v1}
    \fmf{gluon,t=0.85}{v',v} % s-channel
    \fmf{fermion}{o3,v',o2}
    % labels
    \fmfv{l.a=158,l.d=6,l=$g$}{i1}
    \fmfv{l.a=-158,l.d=6,l=$g$}{i2}
    \fmfv{l.a=22,l.d=6,l=t}{o1}
    \fmfv{l.a=25,l.d=4,l=b}{o2}
    \fmfv{l.a=-20,l.d=4,l=$\overline{\mathrm{b}}$}{o3}
    \fmfv{l.a=-22,l.d=6,l=$\overline{\mathrm{t}}$}{o4}
  \end{fmfgraph*}
  } % close \fmfframe
\end{fmffile}
\end{document}
Download as .png, .pdf, or .tex.

Associated production, with γ*/Z s-channel:
\begin{fmfpicture}{-9,11}{2,12}{ttqq_gg-ttZ-{t}tt\q_schan} % padding (LTRB)
  \begin{fmfgraph*}(120,80) % dimensions (WH)
    % external vertices
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{2 up}{o1,o2}
    \fmfshift{2 down}{o4,o3}
    % skeleton
    \fmf{gluon,t=1.9}{v1,i1}
    \fmf{gluon,t=1.9}{i2,v2}
    \fmf{fermion}{v1,o1}
    \fmf{fermion}{o4,v2}
    % ttbar -> y*/Z -> ttbar
    \fmf{fermion}{v2,v,v1}
    \fmf{boson,t=0.9,label=$\gamma^*$\color{}!/Z,l.s=left,l.d=4}{v,v'} % s-channel
    \fmf{fermion}{o3,v',o2}
    % labels
    \fmfv{l.a=158,l.d=6,l=$g$}{i1}
    \fmfv{l.a=-158,l.d=6,l=$g$}{i2}
    \fmfv{l.a=22,l.d=6,l=t}{o1}
    \fmfv{l.a=25,l.d=4,l=t}{o2}
    \fmfv{l.a=-20,l.d=4,l=$\overline{\mathrm{t}}$}{o3}
    \fmfv{l.a=-22,l.d=6,l=$\overline{\mathrm{t}}$}{o4}
  \end{fmfgraph*}
\end{fmfpicture}
\end{document}
Download as .png, .pdf, or .tex. 

\begin{fmfpicture}{-9,11}{2,12}{ttqq_gg-ttZ-{b}tt\q_schan} % padding (LTRB)
  \begin{fmfgraph*}(120,80) % dimensions (WH)
    % external vertices
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{2 up}{o1,o2}
    \fmfshift{2 down}{o4,o3}
    % skeleton
    \fmf{gluon,t=1.9}{v1,i1}
    \fmf{gluon,t=1.9}{i2,v2}
    \fmf{fermion}{v1,o1}
    \fmf{fermion}{o4,v2}
    % ttbar -> y*/Z -> ttbar
    \fmf{fermion}{v2,v,v1}
    \fmf{boson,t=0.9,label=$\gamma^*$\color{}!/Z,l.s=left,l.d=4}{v,v'} % s-channel
    \fmf{fermion}{o3,v',o2}
    % labels
    \fmfv{l.a=158,l.d=6,l=$g$}{i1}
    \fmfv{l.a=-158,l.d=6,l=$g$}{i2}
    \fmfv{l.a=22,l.d=6,l=b}{o1}
    \fmfv{l.a=25,l.d=4,l=t}{o2}
    \fmfv{l.a=-20,l.d=4,l=$\overline{\mathrm{t}}$}{o3}
    \fmfv{l.a=-22,l.d=6,l=$\overline{\mathrm{b}}$}{o4}
  \end{fmfgraph*}
\end{fmfpicture}
\end{document}
Download as .png, .pdf, or .tex. 

\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\begin{document}
\begin{fmffile}{feyngraph}
  \fmfframe(-9,11)(4,12){ % padding (L,T)(R,B)
  \begin{fmfgraph*}(120,80) % dimensions (WH)
    % line style
    \fmfset{wiggly_len}{13} % boson wavelength
    \fmfset{wiggly_slope}{68} % boson slope of waves
    % external vertices
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{2 up}{o1,o2}
    \fmfshift{2 down}{o4,o3}
    % skeleton
    \fmf{gluon,t=1.9}{v1,i1}
    \fmf{gluon,t=1.9}{i2,v2}
    \fmf{fermion}{v1,o1}
    \fmf{fermion}{o4,v2}
    % ttbar -> y*/Z -> ttbar
    \fmf{fermion}{v2,v,v1}
    \fmf{boson,t=0.9,label=$\gamma^*$\color{}!/Z,l.s=left,l.d=4}{v,v'} % s-channel
    \fmf{fermion}{o3,v',o2}
    % labels
    \fmfv{l.a=158,l.d=6,l=$g$}{i1}
    \fmfv{l.a=-158,l.d=6,l=$g$}{i2}
    \fmfv{l.a=22,l.d=6,l=t}{o1}
    \fmfv{l.a=25,l.d=4,l=b}{o2}
    \fmfv{l.a=-20,l.d=4,l=$\overline{\mathrm{b}}$}{o3}
    \fmfv{l.a=-22,l.d=6,l=$\overline{\mathrm{t}}$}{o4}
  \end{fmfgraph*}
  } % close \fmfframe
\end{fmffile}
\end{document}
Download as .png, .pdf, or .tex.

Associated production, with Higgs s-channel:
\begin{fmfpicture}{-9,11}{2,12}{ttqq_gg-tth-{t}tt\q_schan} % padding (LTRB)
  \begin{fmfgraph*}(120,80) % dimensions (WH)
    % external vertices
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{2 up}{o1,o2}
    \fmfshift{2 down}{o4,o3}
    % skeleton
    \fmf{gluon,t=1.9}{v1,i1}
    \fmf{gluon,t=1.9}{i2,v2}
    \fmf{fermion}{v1,o1}
    \fmf{fermion}{o4,v2}
    % ttbar -> h -> ttbar
    \fmf{fermion}{v2,v,v1}
    \fmf{dashes,t=0.9,label=h,l.s=left,l.d=4}{v,v'} % s-channel
    \fmf{fermion}{o3,v',o2}
    % labels
    \fmfv{l.a=158,l.d=6,l=$g$}{i1}
    \fmfv{l.a=-158,l.d=6,l=$g$}{i2}
    \fmfv{l.a=22,l.d=6,l=t}{o1}
    \fmfv{l.a=25,l.d=4,l=t}{o2}
    \fmfv{l.a=-20,l.d=4,l=$\overline{\mathrm{t}}$}{o3}
    \fmfv{l.a=-22,l.d=6,l=$\overline{\mathrm{t}}$}{o4}
  \end{fmfgraph*}
\end{fmfpicture}
\end{document}
Download as .png, .pdf, or .tex. 

\begin{fmfpicture}{-9,11}{2,12}{ttqq_gg-tth-{b}tt\q_schan} % padding (LTRB)
  \begin{fmfgraph*}(120,80) % dimensions (WH)
    % external vertices
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{2 up}{o1,o2}
    \fmfshift{2 down}{o4,o3}
    % skeleton
    \fmf{gluon,t=1.9}{v1,i1}
    \fmf{gluon,t=1.9}{i2,v2}
    \fmf{fermion}{v1,o1}
    \fmf{fermion}{o4,v2}
    % ttbar -> h -> ttbar
    \fmf{fermion}{v2,v,v1}
    \fmf{dashes,t=0.9,label=h,l.s=left,l.d=4}{v,v'} % s-channel
    \fmf{fermion}{o3,v',o2}
    % labels
    \fmfv{l.a=158,l.d=6,l=$g$}{i1}
    \fmfv{l.a=-158,l.d=6,l=$g$}{i2}
    \fmfv{l.a=22,l.d=6,l=b}{o1}
    \fmfv{l.a=25,l.d=4,l=t}{o2}
    \fmfv{l.a=-20,l.d=4,l=$\overline{\mathrm{t}}$}{o3}
    \fmfv{l.a=-22,l.d=6,l=$\overline{\mathrm{b}}$}{o4}
  \end{fmfgraph*}
\end{fmfpicture}
\end{document}
Download as .png, .pdf, or .tex. 

\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\begin{document}
\begin{fmffile}{feyngraph}
  \fmfframe(-9,11)(4,12){ % padding (L,T)(R,B)
  \begin{fmfgraph*}(120,80) % dimensions (WH)
    % line style
    \fmfset{wiggly_len}{13} % boson wavelength
    \fmfset{wiggly_slope}{68} % boson slope of waves
    % external vertices
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{2 up}{o1,o2}
    \fmfshift{2 down}{o4,o3}
    % skeleton
    \fmf{gluon,t=1.9}{v1,i1}
    \fmf{gluon,t=1.9}{i2,v2}
    \fmf{fermion}{v1,o1}
    \fmf{fermion}{o4,v2}
    % ttbar -> h -> ttbar
    \fmf{fermion}{v2,v,v1}
    \fmf{dashes,t=0.9,label=h,l.s=left,l.d=4}{v,v'} % s-channel
    \fmf{fermion}{o3,v',o2}
    % labels
    \fmfv{l.a=158,l.d=6,l=$g$}{i1}
    \fmfv{l.a=-158,l.d=6,l=$g$}{i2}
    \fmfv{l.a=22,l.d=6,l=t}{o1}
    \fmfv{l.a=25,l.d=4,l=b}{o2}
    \fmfv{l.a=-20,l.d=4,l=$\overline{\mathrm{b}}$}{o3}
    \fmfv{l.a=-22,l.d=6,l=$\overline{\mathrm{t}}$}{o4}
  \end{fmfgraph*}
  } % close \fmfframe
\end{fmffile}
\end{document}
Download as .png, .pdf, or .tex.

Associated production with t-channel

Associated production, with gluon s-channel:

\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\begin{document}
\begin{fmffile}{feyngraph}
  \fmfframe(-9,13)(4,14){ % padding (L,T)(R,B)
  \begin{fmfgraph*}(120,90) % dimensions (WH)
    % line style
    \fmfset{wiggly_len}{13} % boson wavelength
    \fmfset{wiggly_slope}{68} % boson slope of waves
    % external vertices
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{4 up}{o1,o2}
    \fmfshift{4 down}{o4,o3}
    % skeleton
    \fmf{gluon,t=2.5}{v1,i1}
    \fmf{gluon,t=2.5}{i2,v2}
    \fmf{fermion}{v1,o1}
    \fmf{fermion}{o4,v2}
    % qq -> ttbar
    \fmf{fermion,t=1.4}{vt1,v1}
    \fmf{fermion,t=1.4}{v2,vt2}
    \fmf{fermion}{o2,vt1}
    \fmf{fermion}{vt2,o3}
    \fmf{gluon,t=1.2}{vt1,vt2} % t-channel
    % labels
    \fmfv{l.a=158,l.d=6,l=$g$}{i1}
    \fmfv{l.a=-158,l.d=6,l=$g$}{i2}
    \fmfv{l.a=22,l.d=6,l=t}{o1}
    \fmfv{l.a=20,l.d=4,l=$\overline{\mathrm{t}}$}{o2}
    \fmfv{l.a=-20,l.d=4,l=t}{o3}
    \fmfv{l.a=-22,l.d=6,l=$\overline{\mathrm{t}}$}{o4}
  \end{fmfgraph*}
  } % close \fmfframe
\end{fmffile}
\end{document}
Download as .png, .pdf, or .tex. 

\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\begin{document}
\begin{fmffile}{feyngraph}
  \fmfframe(-9,13)(4,14){ % padding (L,T)(R,B)
  \begin{fmfgraph*}(120,90) % dimensions (WH)
    % line style
    \fmfset{wiggly_len}{13} % boson wavelength
    \fmfset{wiggly_slope}{68} % boson slope of waves
    % external vertices
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{4 up}{o1,o2}
    \fmfshift{4 down}{o4,o3}
    % skeleton
    \fmf{gluon,t=2.5}{v1,i1}
    \fmf{gluon,t=2.5}{i2,v2}
    \fmf{fermion}{v1,o1}
    \fmf{fermion}{o4,v2}
    % qq -> ttbar
    \fmf{fermion,t=1.4}{vt1,v1}
    \fmf{fermion,t=1.4}{v2,vt2}
    \fmf{fermion}{o2,vt1}
    \fmf{fermion}{vt2,o3}
    \fmf{gluon,t=1.2}{vt1,vt2} % t-channel
    % labels
    \fmfv{l.a=158,l.d=6,l=$g$}{i1}
    \fmfv{l.a=-158,l.d=6,l=$g$}{i2}
    \fmfv{l.a=22,l.d=6,l=t}{o1}
    \fmfv{l.a=20,l.d=4,l=$\overline{\mathrm{t}}$}{o2}
    \fmfv{l.a=-20,l.d=4,l=b}{o3}
    \fmfv{l.a=-22,l.d=6,l=$\overline{\mathrm{b}}$}{o4}
  \end{fmfgraph*}
  } % close \fmfframe
\end{fmffile}
\end{document}
Download as .png, .pdf, or .tex.

Associated production, with a t-channel Z boson:
\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\begin{document}
\begin{fmffile}{feyngraph}
  \fmfframe(-9,13)(4,15){ % padding (L,T)(R,B)
  \begin{fmfgraph*}(120,90) % dimensions (WH)
    % line style
    \fmfset{wiggly_len}{13} % boson wavelength
    \fmfset{wiggly_slope}{68} % boson slope of waves
    % external vertices
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{4 up}{o1,o2}
    \fmfshift{4 down}{o4,o3}
    % skeleton
    \fmf{gluon,t=2.5}{v1,i1}
    \fmf{gluon,t=2.5}{i2,v2}
    \fmf{fermion}{v1,o1}
    \fmf{fermion}{o4,v2}
    % qq -> ttbar
    \fmf{fermion,t=1.4}{vt1,v1}
    \fmf{fermion,t=1.4}{v2,vt2}
    \fmf{fermion}{o2,vt1}
    \fmf{fermion}{vt2,o3}
    \fmf{boson,t=1.2,label=$\gamma^*$\color{}!/Z,l.s=right,l.d=5}{vt1,vt2} % t-channel
    % labels
    \fmfv{l.a=158,l.d=6,l=$g$}{i1}
    \fmfv{l.a=-158,l.d=6,l=$g$}{i2}
    \fmfv{l.a=22,l.d=6,l=t}{o1}
    \fmfv{l.a=20,l.d=4,l=$\overline{\mathrm{t}}$}{o2}
    \fmfv{l.a=-20,l.d=4,l=t}{o3}
    \fmfv{l.a=-22,l.d=6,l=$\overline{\mathrm{t}}$}{o4}
  \end{fmfgraph*}
  } % close \fmfframe
\end{fmffile}
\end{document}
Download as .png, .pdf, or .tex. 

\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\begin{document}
\begin{fmffile}{feyngraph}
  \fmfframe(-9,13)(4,15){ % padding (L,T)(R,B)
  \begin{fmfgraph*}(120,90) % dimensions (WH)
    % line style
    \fmfset{wiggly_len}{13} % boson wavelength
    \fmfset{wiggly_slope}{68} % boson slope of waves
    % external vertices
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{4 up}{o1,o2}
    \fmfshift{4 down}{o4,o3}
    % skeleton
    \fmf{gluon,t=2.5}{v1,i1}
    \fmf{gluon,t=2.5}{i2,v2}
    \fmf{fermion}{v1,o1}
    \fmf{fermion}{o4,v2}
    % qq -> ttbar
    \fmf{fermion,t=1.4}{vt1,v1}
    \fmf{fermion,t=1.4}{v2,vt2}
    \fmf{fermion}{o2,vt1}
    \fmf{fermion}{vt2,o3}
    \fmf{boson,t=1.2,label=$\gamma^*$\color{}!/Z,l.s=right,l.d=5}{vt1,vt2} % t-channel
    % labels
    \fmfv{l.a=158,l.d=6,l=$g$}{i1}
    \fmfv{l.a=-158,l.d=6,l=$g$}{i2}
    \fmfv{l.a=22,l.d=6,l=t}{o1}
    \fmfv{l.a=20,l.d=4,l=$\overline{\mathrm{t}}$}{o2}
    \fmfv{l.a=-20,l.d=4,l=b}{o3}
    \fmfv{l.a=-22,l.d=6,l=$\overline{\mathrm{b}}$}{o4}
  \end{fmfgraph*}
  } % close \fmfframe
\end{fmffile}
\end{document}
Download as .png, .pdf, or .tex.

Associated production, with a t-channel W boson:
\documentclass[11pt,border=4pt]{standalone}
\usepackage{feynmp-auto}
\begin{document}
\begin{fmffile}{feyngraph}
  \fmfframe(-9,14)(2,15){ % padding (L,T)(R,B)
  \begin{fmfgraph*}(120,90) % dimensions (WH)
    % line style
    \fmfset{wiggly_len}{13} % boson wavelength
    \fmfset{wiggly_slope}{68} % boson slope of waves
    % external vertices
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{4 up}{o1,o2}
    \fmfshift{4 down}{o4,o3}
    % skeleton
    \fmf{gluon,t=2.5}{v1,i1}
    \fmf{gluon,t=2.5}{i2,v2}
    \fmf{fermion}{v1,o1}
    \fmf{fermion}{o4,v2}
    % qq -> ttbar
    \fmf{fermion,t=1.4}{vt1,v1}
    \fmf{fermion,t=1.4}{v2,vt2}
    \fmf{fermion}{o2,vt1}
    \fmf{fermion}{vt2,o3}
    \fmf{boson,t=1.2,label=W,l.s=right,l.d=5}{vt1,vt2} % t-channel
    % labels
    \fmfv{l.a=158,l.d=6,l=$g$}{i1}
    \fmfv{l.a=-158,l.d=6,l=$g$}{i2}
    \fmfv{l.a=22,l.d=6,l=b}{o1}
    \fmfv{l.a=20,l.d=4,l=$\overline{\mathrm{t}}$}{o2}
    \fmfv{l.a=-20,l.d=4,l=t}{o3}
    \fmfv{l.a=-22,l.d=6,l=$\overline{\mathrm{b}}$}{o4}
  \end{fmfgraph*}
  } % close \fmfframe
\end{fmffile}
\end{document}
Download as .png, .pdf, or .tex.

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 (July 2023)
% Instructions: To compile via command line, run the following twice
%   pdflatex -shell-escape ttbarqqbar.tex
% Sources:
%  https://cms-results.web.cern.ch/cms-results/public-results/publications/SMP-23-004
\documentclass[11pt,border=2pt,multi=page,crop]{standalone}
\usepackage{amsmath}
\usepackage{feynmp-auto}
\usepackage{pgffor} % for \foreach

% DEFINE fmfpicture ENVIRONMENT
\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}{13} % boson wavelength
    \fmfset{wiggly_slope}{68} % 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}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%% FOUR TOP %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% FOUR TOP PRODUCTION - Gluon fusion s-channel
\foreach \q in {t,b}{ % loop over quark flavor
\begin{fmfpicture}{2,12}{6,9}{ttqq_gg-tt\q\q_schan} % padding (LTRB)
  \begin{fmfgraph*}(120,100) % dimensions (WH)
    % external vertices
    \fmfstraight
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{17 down}{i1}
    \fmfshift{17 up}{i2}
    % internal vertices (exact placement)
    \fmfforce{(.76w,.83h)}{vq1} % exact placement
    \fmfforce{(.76w,.17h)}{vq2} % exact placement
    % main
    \fmf{gluon,t=1.2}{v1,i1}
    \fmf{gluon,t=1.2}{v1,i2}
    \fmf{gluon,t=1.1}{v1,v2} % s-channel
    \fmf{gluon}{vq1,v2}
    \fmf{gluon}{vq2,v2}
    % g -> tt
    \fmf{fermion}{o2,vq1,o1}
    \fmf{fermion}{o4,vq2,o3}
    % labels
    \fmfv{l.a=150,l.d=5,l=$g$}{i1}
    \fmfv{l.a=-150,l.d=5,l=$g$}{i2}
    \fmfv{l.a=30,l.d=5,l=t}{o1}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{t}}$}{o2}
    \fmfv{l.a=30,l.d=5,l=\q}{o3}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{\q}}$}{o4}
  \end{fmfgraph*}
\end{fmfpicture}
} % close \foreach loop

% FOUR TOP PRODUCTION - Quark-antiquark annihilation, s-channel
\foreach \q in {t,b}{ % loop over quark flavor
\begin{fmfpicture}{4,12}{8,9}{ttqq_qq-tt\q\q_schan} % padding (LTRB)
  \begin{fmfgraph*}(120,100) % dimensions (WH)
    % external vertices
    \fmfstraight
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{17 down}{i1}
    \fmfshift{17 up}{i2}
    % internal vertices (exact placement)
    \fmfforce{(.76w,.83h)}{vq1} % exact placement
    \fmfforce{(.76w,.17h)}{vq2} % exact placement
    % main
    \fmf{fermion,t=1.2}{i1,v1,i2}
    \fmf{gluon,t=1.1}{v1,v2} % s-channel
    \fmf{gluon}{vq1,v2}
    \fmf{gluon}{vq2,v2}
    % g -> tt
    \fmf{fermion}{o2,vq1,o1}
    \fmf{fermion}{o4,vq2,o3}
    % labels
    \fmfv{l.a=150,l.d=5,l=$q$}{i1}
    \fmfv{l.a=-150,l.d=5,l=$\overline{q}'$}{i2}
    \fmfv{l.a=30,l.d=5,l=t}{o1}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{t}}$}{o2}
    \fmfv{l.a=30,l.d=5,l=\q}{o3}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{\q}}$}{o4}
  \end{fmfgraph*}
\end{fmfpicture}
} % close \foreach loop

% FOUR TOP PRODUCTION - Gluon fusion, t-channel
\foreach \q in {t,b}{ % loop over quark flavor
\begin{fmfpicture}{2,12}{6,10}{ttqq_gg-tt\q\q_tchan} % padding (LTRB)
  \begin{fmfgraph*}(105,80) % dimensions (WH)
    % external vertices
    \fmfstraight
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{8 down}{i1}
    \fmfshift{8 up}{i2}
    % internal vertices (exact placement)
    %\fmfforce{(.30w,.80h)}{v1} % exact placement
    %\fmfforce{(.30w,.20h)}{v2} % exact placement
    \fmfforce{(.72w,.83h)}{vq1} % exact placement
    \fmfforce{(.72w,.17h)}{vq2} % exact placement
    % main
    \fmf{gluon,t=1.1}{v1,i1}
    \fmf{gluon,t=1.1}{i2,v2}
    \fmf{gluon,t=0.7}{v1,v2} % t-channel
    \fmf{gluon}{vq1,v1}
    \fmf{gluon}{v2,vq2}
    % g -> tt
    \fmf{fermion}{o2,vq1,o1}
    \fmf{fermion}{o4,vq2,o3}
    % labels
    \fmfv{l.a=150,l.d=5,l=$g$}{i1}
    \fmfv{l.a=-150,l.d=5,l=$g$}{i2}
    \fmfv{l.a=30,l.d=5,l=t}{o1}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{t}}$}{o2}
    \fmfv{l.a=30,l.d=5,l=\q}{o3}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{\q}}$}{o4}
  \end{fmfgraph*}
\end{fmfpicture}
} % close \foreach loop

% FOUR TOP PRODUCTION - Quark-antiquark annihilation, t-channel
\foreach \q in {t,b}{ % loop over quark flavor
\begin{fmfpicture}{4,12}{7,10}{ttqq_qq-tt\q\q_tchan} % padding (LTRB)
  \begin{fmfgraph*}(105,80) % dimensions (WH)
    % external vertices
    \fmfstraight
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{8 down}{i1}
    \fmfshift{8 up}{i2}
    % internal vertices (exact placement)
    %\fmfforce{(.30w,.80h)}{v1} % exact placement
    %\fmfforce{(.30w,.20h)}{v2} % exact placement
    \fmfforce{(.72w,.83h)}{vq1} % exact placement
    \fmfforce{(.72w,.17h)}{vq2} % exact placement
    % main
    \fmf{fermion,t=1.1}{i1,v1}
    \fmf{fermion,t=1.1}{v2,i2}
    \fmf{fermion,t=0.7}{v1,v2} % t-channel
    \fmf{gluon}{vq1,v1}
    \fmf{gluon}{v2,vq2}
    % g -> tt
    \fmf{fermion}{o2,vq1,o1}
    \fmf{fermion}{o4,vq2,o3}
    % labels
    \fmfv{l.a=150,l.d=5,l=$q$}{i1}
    \fmfv{l.a=-150,l.d=5,l=$\overline{q}'$}{i2}
    \fmfv{l.a=30,l.d=5,l=t}{o1}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{t}}$}{o2}
    \fmfv{l.a=30,l.d=5,l=\q}{o3}
    \fmfv{l.a=-20,l.d=5,l=$\overline{\mathrm{\q}}$}{o4}
  \end{fmfgraph*}
\end{fmfpicture}
} % close \foreach loop


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%% FOUR TOP (Associated, s-channel) %%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% FOUR TOP PRODUCTION - Gluon fusion, s-channel (gluon)
\foreach \q in {t,b}{ % loop over quark flavor
\begin{fmfpicture}{-9,11}{2,12}{ttqq_gg-ttg-{\q}tt\q_schan} % padding (LTRB)
  \begin{fmfgraph*}(120,80) % dimensions (WH)
    % external vertices
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{2 up}{o1,o2}
    \fmfshift{2 down}{o4,o3}
    % skeleton
    \fmf{gluon,t=1.9}{v1,i1}
    \fmf{gluon,t=1.9}{i2,v2}
    \fmf{fermion}{v1,o1}
    \fmf{fermion}{o4,v2}
    % ttbar -> g -> ttbar
    \fmf{fermion}{v2,v,v1}
    \fmf{gluon,t=0.85}{v',v} % s-channel
    \fmf{fermion}{o3,v',o2}
    % labels
    \fmfv{l.a=158,l.d=6,l=$g$}{i1}
    \fmfv{l.a=-158,l.d=6,l=$g$}{i2}
    \fmfv{l.a=22,l.d=6,l=\q}{o1}
    \fmfv{l.a=25,l.d=4,l=t}{o2}
    \fmfv{l.a=-20,l.d=4,l=$\overline{\mathrm{t}}$}{o3}
    \fmfv{l.a=-22,l.d=6,l=$\overline{\mathrm{\q}}$}{o4}
  \end{fmfgraph*}
\end{fmfpicture}
} % close \foreach loop

% FOUR TOP PRODUCTION - Gluon fusion, s-channel (gluon)
\begin{fmfpicture}{-9,11}{4,12}{ttqq_gg-ttg-tbbt_schan} % padding (LTRB)
  \begin{fmfgraph*}(120,80) % dimensions (WH)
    % external vertices
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{2 up}{o1,o2}
    \fmfshift{2 down}{o4,o3}
    % skeleton
    \fmf{gluon,t=1.9}{v1,i1}
    \fmf{gluon,t=1.9}{i2,v2}
    \fmf{fermion}{v1,o1}
    \fmf{fermion}{o4,v2}
    % ttbar -> g -> ttbar
    \fmf{fermion}{v2,v,v1}
    \fmf{gluon,t=0.85}{v',v} % s-channel
    \fmf{fermion}{o3,v',o2}
    % labels
    \fmfv{l.a=158,l.d=6,l=$g$}{i1}
    \fmfv{l.a=-158,l.d=6,l=$g$}{i2}
    \fmfv{l.a=22,l.d=6,l=t}{o1}
    \fmfv{l.a=25,l.d=4,l=b}{o2}
    \fmfv{l.a=-20,l.d=4,l=$\overline{\mathrm{b}}$}{o3}
    \fmfv{l.a=-22,l.d=6,l=$\overline{\mathrm{t}}$}{o4}
  \end{fmfgraph*}
\end{fmfpicture}

% FOUR TOP PRODUCTION - Gluon fusion, s-channel (y*/Z)
\foreach \q in {t,b}{ % loop over quark flavor
\begin{fmfpicture}{-9,11}{2,12}{ttqq_gg-ttZ-{\q}tt\q_schan} % padding (LTRB)
  \begin{fmfgraph*}(120,80) % dimensions (WH)
    % external vertices
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{2 up}{o1,o2}
    \fmfshift{2 down}{o4,o3}
    % skeleton
    \fmf{gluon,t=1.9}{v1,i1}
    \fmf{gluon,t=1.9}{i2,v2}
    \fmf{fermion}{v1,o1}
    \fmf{fermion}{o4,v2}
    % ttbar -> y*/Z -> ttbar
    \fmf{fermion}{v2,v,v1}
    \fmf{boson,t=0.9,label=$\gamma^*$\!/Z,l.s=left,l.d=4}{v,v'} % s-channel
    \fmf{fermion}{o3,v',o2}
    % labels
    \fmfv{l.a=158,l.d=6,l=$g$}{i1}
    \fmfv{l.a=-158,l.d=6,l=$g$}{i2}
    \fmfv{l.a=22,l.d=6,l=\q}{o1}
    \fmfv{l.a=25,l.d=4,l=t}{o2}
    \fmfv{l.a=-20,l.d=4,l=$\overline{\mathrm{t}}$}{o3}
    \fmfv{l.a=-22,l.d=6,l=$\overline{\mathrm{\q}}$}{o4}
  \end{fmfgraph*}
\end{fmfpicture}
} % close \foreach loop

% FOUR TOP PRODUCTION - Gluon fusion, s-channel (y*/Z)
\begin{fmfpicture}{-9,11}{4,12}{ttqq_gg-ttZ-tbbt_schan} % padding (LTRB)
  \begin{fmfgraph*}(120,80) % dimensions (WH)
    % external vertices
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{2 up}{o1,o2}
    \fmfshift{2 down}{o4,o3}
    % skeleton
    \fmf{gluon,t=1.9}{v1,i1}
    \fmf{gluon,t=1.9}{i2,v2}
    \fmf{fermion}{v1,o1}
    \fmf{fermion}{o4,v2}
    % ttbar -> y*/Z -> ttbar
    \fmf{fermion}{v2,v,v1}
    \fmf{boson,t=0.9,label=$\gamma^*$\!/Z,l.s=left,l.d=4}{v,v'} % s-channel
    \fmf{fermion}{o3,v',o2}
    % labels
    \fmfv{l.a=158,l.d=6,l=$g$}{i1}
    \fmfv{l.a=-158,l.d=6,l=$g$}{i2}
    \fmfv{l.a=22,l.d=6,l=t}{o1}
    \fmfv{l.a=25,l.d=4,l=b}{o2}
    \fmfv{l.a=-20,l.d=4,l=$\overline{\mathrm{b}}$}{o3}
    \fmfv{l.a=-22,l.d=6,l=$\overline{\mathrm{t}}$}{o4}
  \end{fmfgraph*}
\end{fmfpicture}

% FOUR TOP PRODUCTION - Gluon fusion, s-channel (Higgs)
\foreach \q in {t,b}{ % loop over quark flavor
\begin{fmfpicture}{-9,11}{2,12}{ttqq_gg-tth-{\q}tt\q_schan} % padding (LTRB)
  \begin{fmfgraph*}(120,80) % dimensions (WH)
    % external vertices
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{2 up}{o1,o2}
    \fmfshift{2 down}{o4,o3}
    % skeleton
    \fmf{gluon,t=1.9}{v1,i1}
    \fmf{gluon,t=1.9}{i2,v2}
    \fmf{fermion}{v1,o1}
    \fmf{fermion}{o4,v2}
    % ttbar -> h -> ttbar
    \fmf{fermion}{v2,v,v1}
    \fmf{dashes,t=0.9,label=h,l.s=left,l.d=4}{v,v'} % s-channel
    \fmf{fermion}{o3,v',o2}
    % labels
    \fmfv{l.a=158,l.d=6,l=$g$}{i1}
    \fmfv{l.a=-158,l.d=6,l=$g$}{i2}
    \fmfv{l.a=22,l.d=6,l=\q}{o1}
    \fmfv{l.a=25,l.d=4,l=t}{o2}
    \fmfv{l.a=-20,l.d=4,l=$\overline{\mathrm{t}}$}{o3}
    \fmfv{l.a=-22,l.d=6,l=$\overline{\mathrm{\q}}$}{o4}
  \end{fmfgraph*}
\end{fmfpicture}
} % close \foreach loop

% FOUR TOP PRODUCTION - Gluon fusion, s-channel (Higgs)
\begin{fmfpicture}{-9,11}{4,12}{ttqq_gg-tth-tbbt_schan} % padding (LTRB)
  \begin{fmfgraph*}(120,80) % dimensions (WH)
    % external vertices
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{2 up}{o1,o2}
    \fmfshift{2 down}{o4,o3}
    % skeleton
    \fmf{gluon,t=1.9}{v1,i1}
    \fmf{gluon,t=1.9}{i2,v2}
    \fmf{fermion}{v1,o1}
    \fmf{fermion}{o4,v2}
    % ttbar -> h -> ttbar
    \fmf{fermion}{v2,v,v1}
    \fmf{dashes,t=0.9,label=h,l.s=left,l.d=4}{v,v'} % s-channel
    \fmf{fermion}{o3,v',o2}
    % labels
    \fmfv{l.a=158,l.d=6,l=$g$}{i1}
    \fmfv{l.a=-158,l.d=6,l=$g$}{i2}
    \fmfv{l.a=22,l.d=6,l=t}{o1}
    \fmfv{l.a=25,l.d=4,l=b}{o2}
    \fmfv{l.a=-20,l.d=4,l=$\overline{\mathrm{b}}$}{o3}
    \fmfv{l.a=-22,l.d=6,l=$\overline{\mathrm{t}}$}{o4}
  \end{fmfgraph*}
\end{fmfpicture}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%%% FOUR TOP (Associated, t-channel) %%%%%%%%%%%%%%%%%%%%%
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% FOUR TOP PRODUCTION - Gluon fusion, t-channel
\foreach \q in {t,b}{ % loop over quark flavor
\begin{fmfpicture}{-9,13}{4,14}{ttqq_gg-tth-tt\q\q_tchan} % padding (LTRB)
  \begin{fmfgraph*}(120,90) % dimensions (WH)
    % external vertices
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{4 up}{o1,o2}
    \fmfshift{4 down}{o4,o3}
    % skeleton
    \fmf{gluon,t=2.5}{v1,i1}
    \fmf{gluon,t=2.5}{i2,v2}
    \fmf{fermion}{v1,o1}
    \fmf{fermion}{o4,v2}
    % qq -> ttbar
    \fmf{fermion,t=1.4}{vt1,v1}
    \fmf{fermion,t=1.4}{v2,vt2}
    \fmf{fermion}{o2,vt1}
    \fmf{fermion}{vt2,o3}
    \fmf{gluon,t=1.2}{vt1,vt2} % t-channel
    % labels
    \fmfv{l.a=158,l.d=6,l=$g$}{i1}
    \fmfv{l.a=-158,l.d=6,l=$g$}{i2}
    \fmfv{l.a=22,l.d=6,l=t}{o1}
    \fmfv{l.a=20,l.d=4,l=$\overline{\mathrm{t}}$}{o2}
    \fmfv{l.a=-20,l.d=4,l=\q}{o3}
    \fmfv{l.a=-22,l.d=6,l=$\overline{\mathrm{\q}}$}{o4}
  \end{fmfgraph*}
\end{fmfpicture}
} % close \foreach loop

% FOUR TOP PRODUCTION - Gluon fusion, t-channel
\foreach \q in {t,b}{ % loop over quark flavor
\begin{fmfpicture}{-9,13}{4,15}{ttqq_gg-ttz-tt\q\q_tchan} % padding (LTRB)
  \begin{fmfgraph*}(120,90) % dimensions (WH)
    % external vertices
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{4 up}{o1,o2}
    \fmfshift{4 down}{o4,o3}
    % skeleton
    \fmf{gluon,t=2.5}{v1,i1}
    \fmf{gluon,t=2.5}{i2,v2}
    \fmf{fermion}{v1,o1}
    \fmf{fermion}{o4,v2}
    % qq -> ttbar
    \fmf{fermion,t=1.4}{vt1,v1}
    \fmf{fermion,t=1.4}{v2,vt2}
    \fmf{fermion}{o2,vt1}
    \fmf{fermion}{vt2,o3}
    \fmf{boson,t=1.2,label=$\gamma^*$\!/Z,l.s=right,l.d=5}{vt1,vt2} % t-channel
    % labels
    \fmfv{l.a=158,l.d=6,l=$g$}{i1}
    \fmfv{l.a=-158,l.d=6,l=$g$}{i2}
    \fmfv{l.a=22,l.d=6,l=t}{o1}
    \fmfv{l.a=20,l.d=4,l=$\overline{\mathrm{t}}$}{o2}
    \fmfv{l.a=-20,l.d=4,l=\q}{o3}
    \fmfv{l.a=-22,l.d=6,l=$\overline{\mathrm{\q}}$}{o4}
  \end{fmfgraph*}
\end{fmfpicture}
} % close \foreach loop

% TTBAR+BBAR PRODUCTION - Gluon fusion, t-channel
\begin{fmfpicture}{-9,14}{2,15}{ttqq_gg-bbw-ttbb_tchan} % padding (LTRB)
  \begin{fmfgraph*}(120,90) % dimensions (WH)
    % external vertices
    \fmfleft{i2,i1}
    \fmfright{o4,o3,o2,o1}
    \fmfshift{4 up}{o1,o2}
    \fmfshift{4 down}{o4,o3}
    % skeleton
    \fmf{gluon,t=2.5}{v1,i1}
    \fmf{gluon,t=2.5}{i2,v2}
    \fmf{fermion}{v1,o1}
    \fmf{fermion}{o4,v2}
    % qq -> ttbar
    \fmf{fermion,t=1.4}{vt1,v1}
    \fmf{fermion,t=1.4}{v2,vt2}
    \fmf{fermion}{o2,vt1}
    \fmf{fermion}{vt2,o3}
    \fmf{boson,t=1.2,label=W,l.s=right,l.d=5}{vt1,vt2} % t-channel
    % labels
    \fmfv{l.a=158,l.d=6,l=$g$}{i1}
    \fmfv{l.a=-158,l.d=6,l=$g$}{i2}
    \fmfv{l.a=22,l.d=6,l=b}{o1}
    \fmfv{l.a=20,l.d=4,l=$\overline{\mathrm{t}}$}{o2}
    \fmfv{l.a=-20,l.d=4,l=t}{o3}
    \fmfv{l.a=-22,l.d=6,l=$\overline{\mathrm{b}}$}{o4}
  \end{fmfgraph*}
\end{fmfpicture}

\end{document}

Click to download: ttbarqqbar.tex • ttbarqqbar.pdf
Open in Overleaf: ttbarqqbar.tex.


Leave a Reply

Your email address will not be published. Required fields are marked *