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latex:feynman [2023/02/05 12:44] – [Top quark pair production] iwnlatex:feynman [2024/08/24 17:50] (current) – [How to make Feynman diagrams in LaTeX] iwn
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   * [[https://www.ctan.org/pkg/feynmf|downloadable package on CTAN]];   * [[https://www.ctan.org/pkg/feynmf|downloadable package on CTAN]];
-  * [[http://www.pd.infn.it/TeX/doc/latex/feynmf/manual.pdf|feynMF manual (T. Ohl, 1997)]];+  * [[https://ctan.math.illinois.edu/macros/latex/contrib/feynmf/fmfman.pdf|feynMF manual (T. Ohl, 1997)]];
   * for advanced stuff with ''MetaPost'', check out [[https://www.tug.org/docs/metapost/mpman.pdf|the MetaPost manual (J.D. Hobby, 2017)]], [[https://arxiv.org/pdf/hep-ph/9505351.pdf|this paper]], [[http://www.pragma-ade.com/general/manuals/metafun-s.pdf|this tutorial]] and [[latex:feynman#intermediate_modehow_to_use_metapost|this section]];   * for advanced stuff with ''MetaPost'', check out [[https://www.tug.org/docs/metapost/mpman.pdf|the MetaPost manual (J.D. Hobby, 2017)]], [[https://arxiv.org/pdf/hep-ph/9505351.pdf|this paper]], [[http://www.pragma-ade.com/general/manuals/metafun-s.pdf|this tutorial]] and [[latex:feynman#intermediate_modehow_to_use_metapost|this section]];
   * [[http://osksn2.hep.sci.osaka-u.ac.jp/~taku/osx/fmfsamples.pdf|feynMF examples (T. Yamanaka, 2006)]];   * [[http://osksn2.hep.sci.osaka-u.ac.jp/~taku/osx/fmfsamples.pdf|feynMF examples (T. Yamanaka, 2006)]];
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 231: Line 235:
     \fmfleft{i0,i1,i2}     \fmfleft{i0,i1,i2}
     \fmfright{o1,o2,o3,o4}     \fmfright{o1,o2,o3,o4}
-    % fermions+    % outgoing fermions
     \fmf{fermion}{o1,v21,o2}     \fmf{fermion}{o1,v21,o2}
     \fmf{fermion}{o3,v22,o4}     \fmf{fermion}{o3,v22,o4}
Line 239: Line 243:
     \fmf{phantom}{i2,v22}     \fmf{phantom}{i2,v22}
     \fmffreeze     \fmffreeze
-    % HWW+    % H -> WW
     \fmf{dashes,tension=1.5}{i1,v1}     \fmf{dashes,tension=1.5}{i1,v1}
     \fmf{boson}{v1,v21}     \fmf{boson}{v1,v21}
Line 252: Line 256:
 </WRAP></WRAP> </WRAP></WRAP>
  
 +===== Forcing vertices at desired (x,y) positions =====
 +
 +If you do not like puzzling with phantom lines and tension, you could force the vertex at an exact location using ''\fmfforce{(0.4w,0.7h)}{v}'', which places the vertex ''v'' at the x position that is 40% of the width from the left, and at the y position that is 70% of the height from the bottom. (Note however that the feynMF manual states it should be used as a last resort only.) The alternative is to use intermediate mode with MetaPost which is explained in a [[#intermediate_modehow_to_use_metapost|section below]].
 +
 +It is also possible to use ''\fmfshift'' to shift vertices. This can be used for outgoing point created with ''\fmfleft'' etc., but also internal vertices after they have been frozen with ''\fmffreeze''.
 +
 +<WRAP group><WRAP half column>
 +<code latex>
 +\begin{fmffile}{feyngraph}
 +  \begin{fmfgraph}(150,150)
 +    \fmfstraight
 +    \fmfleft{i}
 +    \fmfright{o1,o2,o3,o4}
 +    % force vertex locations
 +    \fmfforce{(0.40w,0.50h)}{v}
 +    \fmfforce{(0.68w,0.20h)}{v1}
 +    \fmfforce{(0.68w,0.80h)}{v2}
 +    % H -> WW
 +    \fmf{dashes,tension=1.5}{i,v}
 +    \fmf{boson}{v,v1}
 +    \fmf{boson}{v,v2}
 +    % outgoing fermions
 +    \fmf{fermion}{o1,v1,o2}
 +    \fmf{fermion}{o3,v2,o4}
 +  \end{fmfgraph}
 +\end{fmffile}
 +</code>
 +</WRAP><WRAP half column>
 +\\ \\ \\
 +{{ latex:hww_phantom.png ? 0x260 }}
 +\\ \\
 +</WRAP></WRAP>
  
  ===== Adding momentum arrows =====   ===== Adding momentum arrows ===== 
Line 331: Line 367:
  ====== Intermediate mode: How to use MetaPost ======  ====== Intermediate mode: How to use MetaPost ======
  
-If you don't like puzzling with ''phantom'' lines and tension, you can gain greater control by using ''feynMP'''s "intermediate mode" to use ''MetaPost'' more directly. ''\fmfipairs'' and ''\fmfiequ'' gives the ability to exactly position vertices, and ''\fmfi'' allow to draw straight and curved lines between these points.+If you don't like puzzling with ''phantom'' lines and tension, you can use ''\fmfforce'' as explained in a [[#forcing_vertices_at_desired_x_y_positions|section above]]. You can gain even greater control by using ''feynMP'''s "intermediate mode" to use ''MetaPost'' more directly. ''\fmfipairs'' and ''\fmfiequ'' gives the ability to exactly position vertices, and ''\fmfi'' allow to draw straight and curved lines between these points.
  
 The next level is executing ''MetaPost'' commands directly with ''\fmfcmd''. The next level is executing ''MetaPost'' commands directly with ''\fmfcmd''.
Line 540: Line 576:
     \fmfleft{i2,i1}     \fmfleft{i2,i1}
     \fmfright{o2,o1}     \fmfright{o2,o1}
-    \fmfshift{2 left}{i1}+    % main 
 +    \fmf{fermion}{i1,v1,i2}
     \fmf{fermion}{o2,v2,o1}     \fmf{fermion}{o2,v2,o1}
-    \fmf{gluon}{v1,i1} +    \fmf{gluon,label=$g$,label.side=right,label.dist=10}{v2,v1}
-    \fmf{gluon}{v1,i2} +
-    \fmf{gluon,label=$g$}{v1,v2}+
     % labels     % labels
-    \fmfv{l.d=4,l=$g$}{i1} +    \fmflabel{$q$}{i1} 
-    \fmfv{l.d=6,l=$g$}{i2}+    \fmflabel{$\overline{q}$}{i2}
     \fmflabel{$\overline{\text{t}}$}{o2}     \fmflabel{$\overline{\text{t}}$}{o2}
     \fmflabel{t}{o1}     \fmflabel{t}{o1}
Line 555: Line 590:
 </WRAP><WRAP half column> </WRAP><WRAP half column>
 \\ \\
-{{ latex:ggttbar1.png ? 220 }}+{{ latex:feynman:qqttbar.png ? 220 }}
 \\ \\
 </WRAP></WRAP> </WRAP></WRAP>
Line 565: Line 600:
     \fmfleft{i2,i1}     \fmfleft{i2,i1}
     \fmfright{o2,o1}     \fmfright{o2,o1}
-    % main+    \fmfshift{2 left}{i1} 
 +    \fmf{fermion}{o2,v2,o1}
     \fmf{gluon}{v1,i1}     \fmf{gluon}{v1,i1}
-    \fmf{fermion}{v1,o1} +    \fmf{gluon}{v1,i2} 
-    \fmf{gluon}{i2,v2} +    \fmf{gluon,label=$g$}{v1,v2}
-    \fmf{fermion}{o2,v2} +
-    \fmf{fermion,label=t}{v2,v1}+
     % labels     % labels
-    \fmflabel{$g$}{i2} +    \fmfv{l.d=4,l=$g$}{i1} 
-    \fmflabel{$g$}{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 581: Line 615:
 </WRAP><WRAP half column> </WRAP><WRAP half column>
 \\ \\
-{{ latex:ggttbar2.png ? 220 }}+{{ latex:feynman:ggttbar1.png ? 220 }}
 \\ \\
 </WRAP></WRAP> </WRAP></WRAP>
Line 592: Line 626:
     \fmfright{o2,o1}     \fmfright{o2,o1}
     % main     % main
-    \fmf{fermion}{i1,v1,i2} +    \fmf{gluon}{v1,i1} 
-    \fmf{fermion}{o2,v2,o1} +    \fmf{fermion}{v1,o1} 
-    \fmf{gluon,label=$g$,label.side=right,label.dist=10}{v2,v1}+    \fmf{gluon}{i2,v2} 
 +    \fmf{fermion}{o2,v2} 
 +    \fmf{fermion,label=t}{v2,v1}
     % labels     % labels
-    \fmflabel{$q$}{i1} +    \fmflabel{$g$}{i2} 
-    \fmflabel{$\overline{q}$}{i2} +    \fmflabel{$g$}{i1} 
-    \fmflabel{$\overline{\text{t}}$}{o2} +    \fmfv{l.d=7,l.a=22,l=t}{o1} 
-    \fmflabel{t}{o1}+    \fmfv{l.d=7,l.a=-20,l=$\overline{\text{t}}$}{o2}
   \end{fmfgraph*}   \end{fmfgraph*}
 \end{fmffile} \end{fmffile}
Line 605: Line 641:
 </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 radiated quarks or gluons that will form hard jets:
Line 617: Line 651:
 \large \large
 \begin{fmffile}{feyngraph} \begin{fmffile}{feyngraph}
-  \begin{fmfgraph*}(120,75)+  \begin{fmfgraph*}(120,70)
     \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}     \fmfshift{5 up}{t}
     % skeleton     % skeleton
     \fmf{phantom}{i1,v1,i2}     \fmf{phantom}{i1,v1,i2}
     \fmf{phantom}{o1,v2,o2}     \fmf{phantom}{o1,v2,o2}
-    \fmf{phantom,tension=1.2}{v1,v2}+    \fmf{phantom}{v1,v2}
     \fmffreeze     \fmffreeze
     % main     % main
-    \fmf{gluon,tension=0.8}{g,i1} +    \fmf{fermion}{i1,g} 
-    \fmf{fermion}{v1,g} +    \fmf{plain,tension=2.8}{g,v1} 
-    \fmf{gluon}{v1,i2} +    \fmf{fermion}{v1,i2} 
-    \fmf{fermion,tension=0}{g,t}+    \fmf{gluon,tension=0}{t,g}
     \fmf{gluon}{v1,v2}     \fmf{gluon}{v1,v2}
     \fmf{fermion}{o2,v2,o1}     \fmf{fermion}{o2,v2,o1}
     % labels     % labels
-    \fmfv{l.d=4,l=$g$}{i1} +    \fmflabel{$q$}{i1} 
-    \fmfv{l.d=6,l=$g$}{i2} +    \fmflabel{$\overline{q}$}{i2} 
-    \fmfv{l.d=5,l.a=25,l=$q$}{t}+    \fmfv{l.d=5,l.a=25,l=$g$}{t}
     \fmflabel{$\bar{\text{t}}$}{o2}     \fmflabel{$\bar{\text{t}}$}{o2}
     \fmflabel{$\text{t}$}{o1}     \fmflabel{$\text{t}$}{o1}
Line 647: Line 679:
 </WRAP><WRAP half column> </WRAP><WRAP half column>
 \\ \\ \\ \\
-{{ latex:ggttbar_quark.png ? 220 }}+{{ latex:feynman:qqttbar_gluon.png ? 220 }}
 \\ \\ \\ \\
 </WRAP></WRAP> </WRAP></WRAP>
- 
  
  
Line 672: Line 703:
     \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}
Line 678: Line 709:
     % labels     % labels
     \fmfv{l.d=4,l=$g$}{i1}     \fmfv{l.d=4,l=$g$}{i1}
-    \fmfv{l.d=6,l=$q$}{i2}+    \fmfv{l.d=6,l=$g$}{i2}
     \fmfv{l.d=5,l.a=25,l=$q$}{t}     \fmfv{l.d=5,l.a=25,l=$q$}{t}
     \fmflabel{$\bar{\text{t}}$}{o2}     \fmflabel{$\bar{\text{t}}$}{o2}
Line 687: Line 718:
 </WRAP><WRAP half column> </WRAP><WRAP half column>
 \\ \\ \\ \\
-{{ latex:gqttbar_quark.png ? 220 }}+{{ latex:feynman:ggttbar_quark.png ? 220 }}
 \\ \\ \\ \\
 </WRAP></WRAP> </WRAP></WRAP>
Line 697: Line 728:
 \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}     \fmfshift{5 up}{t}
     % skeleton     % 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
     % main     % main
-    \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{fermion}{i2,v1} 
-    \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}
     % labels     % labels
-    \fmflabel{$q$}{i1} +    \fmfv{l.d=4,l=$g$}{i1} 
-    \fmflabel{$\overline{q}$}{i2} +    \fmfv{l.d=6,l=$q$}{i2} 
-    \fmfv{l.d=5,l.a=25,l=$g$}{t}+    \fmfv{l.d=5,l.a=25,l=$q$}{t}
     \fmflabel{$\bar{\text{t}}$}{o2}     \fmflabel{$\bar{\text{t}}$}{o2}
     \fmflabel{$\text{t}$}{o1}     \fmflabel{$\text{t}$}{o1}
Line 725: Line 758:
 </WRAP><WRAP half column> </WRAP><WRAP half column>
 \\ \\ \\ \\
-{{ latex:qqttbar_gluon.png ? 220 }}+{{ latex:feynman:gqttbar_quark.png ? 220 }}
 \\ \\ \\ \\
 </WRAP></WRAP> </WRAP></WRAP>
latex/feynman.1675597489.txt.gz · Last modified: 2023/02/05 12:44 by iwn

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