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latex:feynman [2022/12/20 18:11] – [Proton-proton collisions with a hard process] iwnlatex:feynman [2023/06/06 18:12] – iwn
Line 11: Line 11:
   * [[https://twiki.cern.ch/twiki/bin/viewauth/CMS/SUSYSimplifiedModelDiagrams|ready-made SUSY diagrams (images)]], with the [[https://github.com/CMS-SUS-XPAG/SUSYDiagrams|code (GitHub)]];   * [[https://twiki.cern.ch/twiki/bin/viewauth/CMS/SUSYSimplifiedModelDiagrams|ready-made SUSY diagrams (images)]], with the [[https://github.com/CMS-SUS-XPAG/SUSYDiagrams|code (GitHub)]];
   * [[http://osksn2.hep.sci.osaka-u.ac.jp/~taku/osx/feynmp_latexit.html|how to set up feynMP in LaTeXiT on Mac OS X]] to make Feynman diagrams as standalone images (strongly recommended);   * [[http://osksn2.hep.sci.osaka-u.ac.jp/~taku/osx/feynmp_latexit.html|how to set up feynMP in LaTeXiT on Mac OS X]] to make Feynman diagrams as standalone images (strongly recommended);
 +  * [[https://www.overleaf.com/learn/latex/Feynman_diagrams#Other_packages_for_drawing_Feynman_diagrams|Excelent tutorial by Overleaf]];
   * [[latex:feynman_file|macro for typesetting Feynman graphs in a LaTeX file]];   * [[latex:feynman_file|macro for typesetting Feynman graphs in a LaTeX file]];
   * [[latex:feynman_equation_file|using Feynman diagrams in equation in a LaTeX text]];   * [[latex:feynman_equation_file|using Feynman diagrams in equation in a LaTeX text]];
Line 61: Line 62:
 Checkout the [[http://www.pd.infn.it/TeX/doc/latex/feynmf/manual.pdf|feynMF manual]] for all the available line styles, line options, vertex options and all their parameters. Checkout the [[http://www.pd.infn.it/TeX/doc/latex/feynmf/manual.pdf|feynMF manual]] for all the available line styles, line options, vertex options and all their parameters.
  
-<WRAP group><WRAP half column 55% centeralign>+<WRAP group><WRAP half column 60% centeralign>
 **Table 1**: Available line styles  of ''\fmf''. **Table 1**: Available line styles  of ''\fmf''.
-{{ latex:fmfmp_line_styles_table.png ? 420 }}+{{ latex:fmfmp_line_styles_table.png ? 500 }}
 </WRAP><WRAP half column 37% centeralign > </WRAP><WRAP half column 37% centeralign >
-**Table 2**: Available line options of ''\fmf''. +**Table 2**: Available line styles  of ''\fmf''. 
-{{ latex:fmfmp_line_options_table.png ? 270 }}+{{ latex:fmfmp_line_styles_table2.png ? 600 }}
 \\ \\
-**Table 3**: Available vertex options of ''\fmfv''. +**Table 3**: Available line options of ''\fmf''. 
-{{ latex:fmfmp_vertex_options_table.png ? 300 }}+{{ latex:fmfmp_line_options_table.png ? 600 }} 
 +\\ 
 +**Table 4**: Available vertex options of ''\fmfv''. 
 +{{ latex:fmfmp_vertex_options_table.png ? 600 }}
 </WRAP></WRAP> </WRAP></WRAP>
  
Line 530: Line 534:
  
 Some Feynman diagrams contributing to top quark pair production via gluon-gluon fusion: Some Feynman diagrams contributing to top quark pair production via gluon-gluon fusion:
 +
 +Full code for a {{latex:feynman:ttbar.pdf|multipage PDF}} including all figures below can be found [[latex:feynman:ttbar|here]].
  
 <WRAP group><WRAP half column lo> <WRAP group><WRAP half column lo>
Line 537: Line 543:
     \fmfleft{i2,i1}     \fmfleft{i2,i1}
     \fmfright{o2,o1}     \fmfright{o2,o1}
 +    % main
 +    \fmf{fermion}{i1,v1,i2}
     \fmf{fermion}{o2,v2,o1}     \fmf{fermion}{o2,v2,o1}
-    \fmf{gluon}{i2,v1,i1} +    \fmf{gluon,label=$g$,label.side=right,label.dist=10}{v2,v1} 
-    \fmf{gluon,label=$g$}{v1,v2} +    % labels 
-    \fmflabel{$g$}{i1} +    \fmflabel{$q$}{i1} 
-    \fmflabel{$g$}{i2}+    \fmflabel{$\overline{q}$}{i2}
     \fmflabel{$\overline{\text{t}}$}{o2}     \fmflabel{$\overline{\text{t}}$}{o2}
     \fmflabel{t}{o1}     \fmflabel{t}{o1}
Line 549: Line 557:
 </WRAP><WRAP half column> </WRAP><WRAP half column>
 \\ \\
-{{ latex:ggttbar1.png ? 220 }}+{{ latex:feynman:qqttbar.png ? 220 }}
 \\ \\
 </WRAP></WRAP> </WRAP></WRAP>
Line 557: Line 565:
 \begin{fmffile}{feyngraph} \begin{fmffile}{feyngraph}
   \begin{fmfgraph*}(110,60)   \begin{fmfgraph*}(110,60)
-    \fmfleft{i2,i1}  +    \fmfleft{i2,i1} 
-    \fmfright{o2,o1}  +    \fmfright{o2,o1} 
-    \fmf{gluon}{v1,i1}  +    \fmfshift{2 left}{i1} 
-    \fmf{fermion}{v1,o1} +    \fmf{fermion}{o2,v2,o1} 
-    \fmf{gluon}{i2,v2} +    \fmf{gluon}{v1,i1} 
-    \fmf{fermion}{o2,v2} +    \fmf{gluon}{v1,i2} 
-    \fmf{fermion,label=t}{v2,v1} +    \fmf{gluon,label=$g$}{v1,v2} 
-    \fmflabel{$g$}{i2} +    % labels 
-    \fmflabel{$g$}{i1}+    \fmfv{l.d=4,l=$g$}{i1} 
 +    \fmfv{l.d=6,l=$g$}{i2} 
 +    \fmflabel{$\overline{\text{t}}$}{o2}
     \fmflabel{t}{o1}     \fmflabel{t}{o1}
-    \fmflabel{$\overline{\text{t}}$}{o2} 
   \end{fmfgraph*}   \end{fmfgraph*}
 \end{fmffile} \end{fmffile}
Line 573: Line 582:
 </WRAP><WRAP half column> </WRAP><WRAP half column>
 \\ \\
-{{ latex:ggttbar2.png ? 220 }}+{{ latex:feynman:ggttbar1.png ? 220 }}
 \\ \\
 </WRAP></WRAP> </WRAP></WRAP>
Line 583: Line 592:
     \fmfleft{i2,i1}     \fmfleft{i2,i1}
     \fmfright{o2,o1}     \fmfright{o2,o1}
-    \fmf{fermion}{i1,v1,i2} +    % main 
-    \fmf{fermion}{o2,v2,o1} +    \fmf{gluon}{v1,i1} 
-    \fmf{gluon,label=$g$,label.side=right,label.dist=10}{v2,v1} +    \fmf{fermion}{v1,o1} 
-    \fmflabel{$q$}{i1} +    \fmf{gluon}{i2,v2} 
-    \fmflabel{$\overline{q}$}{i2} +    \fmf{fermion}{o2,v2} 
-    \fmflabel{$\overline{\text{t}}$}{o2} +    \fmf{fermion,label=t}{v2,v1} 
-    \fmflabel{t}{o1}+    % labels 
 +    \fmflabel{$g$}{i2} 
 +    \fmflabel{$g$}{i1} 
 +    \fmfv{l.d=7,l.a=22,l=t}{o1} 
 +    \fmfv{l.d=7,l.a=-20,l=$\overline{\text{t}}$}{o2}
   \end{fmfgraph*}   \end{fmfgraph*}
 \end{fmffile} \end{fmffile}
Line 595: Line 608:
 </WRAP><WRAP half column> </WRAP><WRAP half column>
 \\ \\
-{{ latex:qqttbar.png ? 220 }}+{{ latex:feynman:ggttbar3.png ? 220 }}
 \\ \\
 </WRAP></WRAP> </WRAP></WRAP>
  
- +With radiated quarks or gluons that will form hard jets:
- +
-With jets:+
  
 <WRAP group><WRAP half column lo> <WRAP group><WRAP half column lo>
Line 607: Line 618:
 \large \large
 \begin{fmffile}{feyngraph} \begin{fmffile}{feyngraph}
-  \begin{fmfgraph*}(125,75)+  \begin{fmfgraph*}(120,70)
     \fmfleft{i2,i1}     \fmfleft{i2,i1}
     \fmfright{o2,o1}     \fmfright{o2,o1}
     \fmftop{t}     \fmftop{t}
 +    \fmfshift{5 up}{t}
 +    % skeleton
     \fmf{phantom}{i1,v1,i2}     \fmf{phantom}{i1,v1,i2}
     \fmf{phantom}{o1,v2,o2}     \fmf{phantom}{o1,v2,o2}
     \fmf{phantom}{v1,v2}     \fmf{phantom}{v1,v2}
     \fmffreeze     \fmffreeze
-    \fmfshift{5 left}{i1} +    % main 
-    \fmfshift{5 up}{i1,t} +    \fmf{fermion}{i1,g} 
-    \fmf{gluon,tension=0.8}{g,i1} +    \fmf{plain,tension=2.8}{g,v1} 
-    \fmf{fermion}{v1,g} +    \fmf{fermion}{v1,i2} 
-    \fmf{gluon}{v1,i2} +    \fmf{gluon,tension=0}{t,g}
-    \fmf{fermion,tension=0}{g,t}+
     \fmf{gluon}{v1,v2}     \fmf{gluon}{v1,v2}
     \fmf{fermion}{o2,v2,o1}     \fmf{fermion}{o2,v2,o1}
-    \fmflabel{$g$}{i1} +    % labels 
-    \fmflabel{$g$}{i2} +    \fmflabel{$q$}{i1} 
-    \fmflabel{$\overline{\text{t}}$}{o2} +    \fmflabel{$\overline{q}$}{i2} 
-    \fmflabel{t}{o1}+    \fmfv{l.d=5,l.a=25,l=$g$}{t} 
 +    \fmflabel{$\bar{\text{t}}$}{o2} 
 +    \fmflabel{$\text{t}$}{o1}
   \end{fmfgraph*}   \end{fmfgraph*}
 \end{fmffile} \end{fmffile}
Line 632: Line 646:
 </WRAP><WRAP half column> </WRAP><WRAP half column>
 \\ \\ \\ \\
-{{ latex:ggttbar_quark.png ? 220 }}+{{ latex:feynman:qqttbar_gluon.png ? 220 }}
 \\ \\ \\ \\
 </WRAP></WRAP> </WRAP></WRAP>
- 
  
  
Line 642: Line 655:
 \large \large
 \begin{fmffile}{feyngraph} \begin{fmffile}{feyngraph}
-  \begin{fmfgraph*}(125,75)+  \begin{fmfgraph*}(120,75)
     \fmfleft{i2,i1}     \fmfleft{i2,i1}
     \fmfright{o2,o1}     \fmfright{o2,o1}
     \fmftop{t}     \fmftop{t}
 +    \fmfshift{4 left}{i1}
 +    \fmfshift{2 left}{i2}
 +    \fmfshift{5 up}{t}
 +    % skeleton
     \fmf{phantom}{i1,v1,i2}     \fmf{phantom}{i1,v1,i2}
     \fmf{phantom}{o1,v2,o2}     \fmf{phantom}{o1,v2,o2}
-    \fmf{phantom}{v1,v2}+    \fmf{phantom,tension=1.2}{v1,v2}
     \fmffreeze     \fmffreeze
-    %\fmfshift{5 left}{i1} +    % main
-    %\fmfshift{5 up}{i1,t}+
     \fmf{gluon,tension=0.8}{g,i1}     \fmf{gluon,tension=0.8}{g,i1}
     \fmf{fermion}{v1,g}     \fmf{fermion}{v1,g}
-    \fmf{fermion}{i2,v1}+    \fmf{gluon}{v1,i2}
     \fmf{fermion,tension=0}{g,t}     \fmf{fermion,tension=0}{g,t}
     \fmf{gluon}{v1,v2}     \fmf{gluon}{v1,v2}
     \fmf{fermion}{o2,v2,o1}     \fmf{fermion}{o2,v2,o1}
-    \fmflabel{$g$}{i1} +    % labels 
-    \fmflabel{$q$}{i2} +    \fmfv{l.d=4,l=$g$}{i1} 
-    \fmflabel{$\overline{\text{t}}$}{o2} +    \fmfv{l.d=6,l=$g$}{i2} 
-    \fmflabel{t}{o1}+    \fmfv{l.d=5,l.a=25,l=$q$}{t} 
 +    \fmflabel{$\bar{\text{t}}$}{o2} 
 +    \fmflabel{$\text{t}$}{o1}
   \end{fmfgraph*}   \end{fmfgraph*}
 \end{fmffile} \end{fmffile}
Line 667: Line 685:
 </WRAP><WRAP half column> </WRAP><WRAP half column>
 \\ \\ \\ \\
-{{ latex:gqttbar_quark.png ? 220 }}+{{ latex:feynman:ggttbar_quark.png ? 220 }}
 \\ \\ \\ \\
 </WRAP></WRAP> </WRAP></WRAP>
Line 677: Line 695:
 \large \large
 \begin{fmffile}{feyngraph} \begin{fmffile}{feyngraph}
-  \begin{fmfgraph*}(120,70)+  \begin{fmfgraph*}(120,75)
     \fmfleft{i2,i1}     \fmfleft{i2,i1}
     \fmfright{o2,o1}     \fmfright{o2,o1}
     \fmftop{t}     \fmftop{t}
 +    \fmfshift{4 left}{i1}
 +    \fmfshift{2 left}{i2}
 +    \fmfshift{5 up}{t}
 +    % skeleton
     \fmf{phantom}{i1,v1,i2}     \fmf{phantom}{i1,v1,i2}
     \fmf{phantom}{o1,v2,o2}     \fmf{phantom}{o1,v2,o2}
-    \fmf{phantom}{v1,v2}+    \fmf{phantom,tension=1.2}{v1,v2}
     \fmffreeze     \fmffreeze
-    \fmf{fermion}{i1,g} +    % main 
-    \fmf{plain,tension=2.8}{g,v1} +    \fmf{gluon,tension=0.8}{g,i1} 
-    \fmf{fermion}{v1,i2} +    \fmf{fermion}{v1,g} 
-    \fmf{gluon,tension=0}{t,g}+    \fmf{fermion}{i2,v1} 
 +    \fmf{fermion,tension=0}{g,t}
     \fmf{gluon}{v1,v2}     \fmf{gluon}{v1,v2}
     \fmf{fermion}{o2,v2,o1}     \fmf{fermion}{o2,v2,o1}
-    \fmflabel{$q$}{i1} +    % labels 
-    \fmflabel{$\overline{q}$}{i2} +    \fmfv{l.d=4,l=$g$}{i1} 
-    \fmflabel{$\overline{\text{t}}$}{o2} +    \fmfv{l.d=6,l=$q$}{i2} 
-    \fmflabel{t}{o1}+    \fmfv{l.d=5,l.a=25,l=$q$}{t} 
 +    \fmflabel{$\bar{\text{t}}$}{o2} 
 +    \fmflabel{$\text{t}$}{o1}
   \end{fmfgraph*}   \end{fmfgraph*}
 \end{fmffile} \end{fmffile}
Line 700: Line 725:
 </WRAP><WRAP half column> </WRAP><WRAP half column>
 \\ \\ \\ \\
-{{ latex:gqttbar_quark.png ? 220 }}+{{ latex:feynman:gqttbar_quark.png ? 220 }}
 \\ \\ \\ \\
 </WRAP></WRAP> </WRAP></WRAP>
Line 3670: Line 3695:
  
 Here are some proton-proton collisions with hard processes. Note the use of ''\fmfshift'' to shorten the proton debris lines, and make the hard process stick out, without changing the aspect ratio of diagram's other parts. Here are some proton-proton collisions with hard processes. Note the use of ''\fmfshift'' to shorten the proton debris lines, and make the hard process stick out, without changing the aspect ratio of diagram's other parts.
 +
 +Full code for a {{latex:feynman:proton-proton_collisions_hard_process.pdf|multipage PDF}} including all figures below can be found [[latex:feynman:pp_hard|here]].
  
 A generic proces: A generic proces:
Line 3765: Line 3792:
     % hard process     % hard process
     \fmfshift{20 right}{f1,f2}     \fmfshift{20 right}{f1,f2}
-    \fmfv{l.a=-25,l.d=2,l=$\ell^+$}{f1} +    \fmfv{l.a=-25,l.d=3,l=$\ell^+$}{f1} 
-    \fmfv{l.a=25,l.d=4,l=$\ell^-$}{f2}+    \fmfv{l.a=25,l.d=5,l=$\ell^-$}{f2}
     \fmf{boson,tension=2,label=$\text{Z}^0/\gamma^*$,label.side=left}{v,vf}     \fmf{boson,tension=2,label=$\text{Z}^0/\gamma^*$,label.side=left}{v,vf}
     \fmf{fermion,tension=2}{f1,vf,f2}     \fmf{fermion,tension=2}{f1,vf,f2}
Line 3889: Line 3916:
  
 Diffractive processes involving a Pomeron, after [[https://arxiv.org/abs/1208.4968|this ALICE]], [[https://cds.cern.ch/record/2005230?ln=en|this CMS (FSQ-15-005)]] and [[https://cds.cern.ch/record/2194234?ln=en|this ATLAS (ATL-PHYS-PROC-2016-079)]] paper. Note the Pomeron symbol is made with ''${\rm I\!P}$'' instead of ''${\mathbb{P}$''. Diffractive processes involving a Pomeron, after [[https://arxiv.org/abs/1208.4968|this ALICE]], [[https://cds.cern.ch/record/2005230?ln=en|this CMS (FSQ-15-005)]] and [[https://cds.cern.ch/record/2194234?ln=en|this ATLAS (ATL-PHYS-PROC-2016-079)]] paper. Note the Pomeron symbol is made with ''${\rm I\!P}$'' instead of ''${\mathbb{P}$''.
 +
 +Full code for a {{latex:feynman:proton-proton_collisions_diffractive.pdf|multipage PDF}} including all figures below can be found [[latex:feynman:pp_diffractive|here]].
  
 Elastic scattering with Pomeron exchange: Elastic scattering with Pomeron exchange:
latex/feynman.txt · Last modified: 2023/06/06 18:16 by iwn

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