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latex:feynman [2022/12/20 18:12] – [Proton-proton collisions with a hard process] iwnlatex:feynman [2023/06/06 18:16] (current) – [Simple example: electron - muon scattering] 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''. +\\ \\ \\ \\ 
-{{ latex:fmfmp_line_styles_table.png ? 420 }} +**Table 1**: Available line styles  for ''\fmf''. 
-</WRAP><WRAP half column 37% centeralign > +{{ latex:fmfmp_line_styles_table.png ? 500 }} 
-**Table 2**: Available line options of ''\fmf''. +</WRAP><WRAP half column 36% centeralign > 
-{{ latex:fmfmp_line_options_table.png ? 270 }}+**Table 2**: Available style parameters for ''\fmf''. 
 +{{ latex:fmfmp_line_styles_table2.png ? 600 }} 
 +\\ 
 +**Table 3**: Available line options for ''\fmf''. 
 +{{ latex:fmfmp_line_options_table.png ? 600 }}
 \\ \\
-**Table 3**: Available vertex options of ''\fmfv''. +**Table 4**: Available vertex options for ''\fmfv''. 
-{{ latex:fmfmp_vertex_options_table.png ? 300 }}+{{ latex:fmfmp_vertex_options_table.png ? 600 }}
 </WRAP></WRAP> </WRAP></WRAP>
  
Line 530: Line 535:
  
 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 544:
     \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 558:
 </WRAP><WRAP half column> </WRAP><WRAP half column>
 \\ \\
-{{ latex:ggttbar1.png ? 220 }}+{{ latex:feynman:qqttbar.png ? 220 }}
 \\ \\
 </WRAP></WRAP> </WRAP></WRAP>
Line 557: Line 566:
 \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 583:
 </WRAP><WRAP half column> </WRAP><WRAP half column>
 \\ \\
-{{ latex:ggttbar2.png ? 220 }}+{{ latex:feynman:ggttbar1.png ? 220 }}
 \\ \\
 </WRAP></WRAP> </WRAP></WRAP>
Line 583: Line 593:
     \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 609:
 </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 619:
 \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 647:
 </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 656:
 \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 686:
 </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 696:
 \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 726:
 </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 3696:
  
 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 3889: Line 3917:
  
 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.1671556340.txt.gz · Last modified: 2022/12/20 18:12 by iwn

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