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latex:feynman [2023/02/04 18:03] – [Diffractive proton-proton collisions] iwnlatex:feynman [2023/06/06 18:16] (current) – [Simple example: electron - muon scattering] iwn
Line 62: 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 531: 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 538: 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 550: Line 558:
 </WRAP><WRAP half column> </WRAP><WRAP half column>
 \\ \\
-{{ latex:ggttbar1.png ? 220 }}+{{ latex:feynman:qqttbar.png ? 220 }}
 \\ \\
 </WRAP></WRAP> </WRAP></WRAP>
Line 558: 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 574: Line 583:
 </WRAP><WRAP half column> </WRAP><WRAP half column>
 \\ \\
-{{ latex:ggttbar2.png ? 220 }}+{{ latex:feynman:ggttbar1.png ? 220 }}
 \\ \\
 </WRAP></WRAP> </WRAP></WRAP>
Line 584: 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 596: 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 608: 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 633: 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 643: 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 668: 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 678: 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 701: 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 3671: 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 3891: Line 3918:
 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 multipage PDF including all figures below can be found [[latex:feynman:pp_diffractive|here]].+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.1675530237.txt.gz · Last modified: 2023/02/04 18:03 by iwn