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latex:tikz [2018/06/23 14:50] – [Flowchart] iwnlatex:tikz [2022/03/27 16:10] – [3D axis with spherical coordinates & CMS coordinate system] iwn
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 ''TikZ'' should work out-of-the-box with ''\usepackage{tikz}'', but the syntax is not so straightforward at first. To get started, take a look at these materials: ''TikZ'' should work out-of-the-box with ''\usepackage{tikz}'', but the syntax is not so straightforward at first. To get started, take a look at these materials:
-  * [[https://www.sharelatex.com/blog/2013/08/27/tikz-series-pt1.html|some basic shapes]] +  * [[https://www.sharelatex.com/blog/2013/08/27/tikz-series-pt1.html|Some basic shapes]]. 
-  * [[https://www.tug.org/TUGboat/tb29-1/tb91walczak.pdf|some more basic shapes]] +  * [[https://www.tug.org/TUGboat/tb29-1/tb91walczak.pdf|Some more basic shapes]]. 
-  * [[http://www.texample.net/tikz/examples/|large database of simple and advanced examples]] with a [[http://www.texample.net/tikz/examples/area/physics/|physics section]], including a Feynman diagram and a Standard Model diagram. +  * [[http://www.texample.net/tikz/examples/|TeXample]]: A large database of simple and advanced examples with a [[http://www.texample.net/tikz/examples/area/physics/|physics section]], including a Feynman diagram and a Standard Model diagram. This website will be superseded by [[https://tikz.net|TikZ.net]]. 
-  * [[http://pgf.sourceforge.net/pgf_CVS.pdf|official TikZ & PGF manual]] +  * The examples below and many more are also available on [[https://github.com/IzaakWN/CodeSnippets/tree/master/LaTeX/TikZ|GitHub]] and [[https://ineuteli.web.cern.ch/ineuteli/diagrams/|this gallery page]]. 
- +  * [[http://pgf.sourceforge.net/pgf_CVS.pdf|Official TikZ & PGF manual]]. 
 +  * For Feynman diagrams, please see [[latex:feynman|this page]].
  
  ===== Control regions =====  ===== Control regions =====
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  ===== Sets =====  ===== Sets =====
  
-Example of a flow chart by using a predefined box with ''\def'' and arguments.+Another simple example of a rectangle with rounded corners:
  
 <WRAP group><WRAP half column 55% lo> <WRAP group><WRAP half column 55% lo>
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  ===== Flowchart =====  ===== Flowchart =====
  
-Another simple example of a rectangle with rounded corners ([[latex:tikz:guitar_tunings|full code]]):+Example of a flow chart by using predefined drawing styles and a predefined box with ''\def'' and arguments ([[latex:tikz:guitar_tunings|full code]]):
  
 <WRAP group><WRAP half column 55% lo> <WRAP group><WRAP half column 55% lo>
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   \draw[sarrow]    (E)  -- (Dr);   \draw[sarrow]    (E)  -- (Dr);
   \draw[arrow]     (D)  -- (C);   \draw[arrow]     (D)  -- (C);
-  \draw[arrow]     (D)  -- (Cl); +  \draw[sarrow]    (D)  -- (Cl); 
-  \draw[arrow,<-]  (Cl) -- (Bl) node[fscale=-2,midway,above=1,right=-2] {capo}; +  \draw[sarrow,<-] (Cl) -- (Bl) node[fscale=-2,midway,above=1,right=-2] {capo}; 
-  \draw[arrow]     (C)  -- (Bl);+  \draw[sarrow]    (C)  -- (Bl);
   \draw[sarrow]    (C)  -- (Br);   \draw[sarrow]    (C)  -- (Br);
   \draw[sarrow]    (Br) -- (A);   \draw[sarrow]    (Br) -- (A);
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 \\ \\ \\ \\ \\ \\ \\ \\
 </WRAP></WRAP> </WRAP></WRAP>
 +
 +
 +
 +Example of a node with arrows to text below it ([[latex:tikz:arrows_to_nodes|full code]]). Note the use of ''|-'' between coordinates to draw a line that first goes down vertically and then horizontally. Vice versa can be done with ''-|''. The ''\strut'' command is used to ensure that the text line has a fixed height.
 +
 +<WRAP group><WRAP half column 55% lo>
 +<code latex>
 +\begin{tikzpicture}[yscale=0.8,anchor=west]
 +  
 +  % FIRST COLUMN
 +  \node[anchor=west,draw=myblue,fill=mylightblue,thick,rounded corners=4,inner sep=1.5pt] (L) at (0,4) {\;\strut$qq\nu\nu$\;};  
 +  \node (L1) at (0.5,3) {\strut$jj\nu\nu$};
 +  \node (L2) at (0.5,2) {\strut bb$\nu\nu$};
 +  \node (L3) at (0.5,1) {\strut tt$\nu\nu$};
 +  \draw[->,myblue,thick] (L.south west)++(0.18,0) |- (L1.west);
 +  \draw[->,myblue,thick] (L.south west)++(0.18,0) |- (L2.west);
 +  \draw[->,myblue,thick] (L.south west)++(0.18,0) |- (L3.west);
 +  
 +  % SECOND COLUMN
 +  \begin{scope}[shift={(2.5,0)}]
 +    \node[draw=myblue,fill=mylightblue,thick,rounded corners=4,inner sep=1.5pt] (M) at (0,4) {\;\strut$qq\ell\ell$\;};
 +    \node (M1) at (0.5,3) {\strut$jj\mu\mu$};
 +    \node (M2) at (0.5,2) {\strut bb$\tau\tau$, b$\tau\tau$};
 +    \node (M3) at (0.5,1) {\strut tt$\tau\tau$};
 +    \draw[->,myblue,thick] (M.south west)++(0.18,0) |- (M1.west);
 +    \draw[->,myblue,thick] (M.south west)++(0.18,0) |- (M2.west);
 +    \draw[->,myblue,thick] (M.south west)++(0.18,0) |- (M3.west);
 +  \end{scope}
 +  
 +  % THIRD COLUMN
 +  \begin{scope}[shift={(5.0,0)}]
 +    \node[draw=myblue,fill=mylightblue,thick,rounded corners=4,inner sep=1.5pt] (R) at (0,4) {\;\strut$qq\ell\nu$\;};
 +    \node (R1) at (0.5,3) {\strut$jj\mu\nu$};
 +    \draw[->,myblue,thick] (R.south west)++(0.18,0) |- (R1.west);
 +  \end{scope}
 +  
 +\end{tikzpicture}
 +</code>
 +</WRAP><WRAP half column 40%>
 +\\ \\ \\ \\
 +{{ latex:tikz:arrows_to_nodes.png ? 1000 }}
 +\\ \\ \\ \\
 +</WRAP></WRAP>
 +
 +
  ===== Atom models =====  ===== Atom models =====
  
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  ===== 3D axis with spherical coordinates & CMS coordinate system =====  ===== 3D axis with spherical coordinates & CMS coordinate system =====
  
-This piece of code is based on [[https://tex.stackexchange.com/questions/116206/how-to-draw-and-annotate-a-spherical-coordinate-system|this StackExchange thread]]. It is a simple exercise in making axes and labeling angles in 3D. ''\usepackage{tikz-3dplot}'' needs to be included. The full code can be found [[latex:example_spherical_coordinates|here]].+This piece of code is based on [[https://tex.stackexchange.com/questions/116206/how-to-draw-and-annotate-a-spherical-coordinate-system|this StackExchange thread]]. It is a simple exercise in making axes and labeling angles in 3D. ''\usepackage{tikz-3dplot}'' needs to be included. The full code can be found [[https://tikz.net/axis3d/|here]].
  
 <WRAP group><WRAP half column lo 65%> <WRAP group><WRAP half column lo 65%>
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-An example of rotating the 3D axes with the CMS conventional coordinate system by using the option ''rotate around x=<//angle//>'' and more ([[latex:example_spherical_coordinates|full code]]):+An example of rotating the 3D axes with the CMS conventional coordinate system by using the option ''rotate around x=<//angle//>'' and more ([[https://tikz.net/axis3d_cms|full code]]):
  
 <WRAP group><WRAP third column 20%> <WRAP group><WRAP third column 20%>
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 \end{tikzpicture} \end{tikzpicture}
 </code></WRAP> </code></WRAP>
- 
- 
- 
- 
  
  
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  ===== Tau lepton decay signatures =====  ===== Tau lepton decay signatures =====
  
-Inspiration from [[http://cds.cern.ch/record/1514540|Takahashi & Tomoto (2012) [Fig. 3.14, p. 37]]]. [[latex:tikz:tau_decay_signatures|Full code]].+Inspiration from [[http://cds.cern.ch/record/1514540|Takahashi & Tomoto (2012) [Fig. 3.14, p. 37]]]. [[https://tikz.net/tau_decay/|Full code]].
  
 \\ \\
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 \\ \\
 </WRAP></WRAP> </WRAP></WRAP>
 +
 +
 +
  ===== Higgs decay planes =====  ===== Higgs decay planes =====
  
-Decay planes of Higgs decay to measure the Higgs boson's parity. The full code can be found [[latex:tikz:decay_planes|here]]. Adaptation of [[https://arxiv.org/abs/hep-ph/0503172|Djouadi (2008) [Fig. 2.6, 2.11]]].+Decay planes of Higgs decay to measure the Higgs boson's parity. The full code can be found [[https://tikz.net/decay_planes/|here]]. Adaptation of [[https://arxiv.org/abs/hep-ph/0503172|Djouadi (2008) [Fig. 2.6, 2.11]]].
  
 <WRAP group><WRAP third column 20%> <WRAP group><WRAP third column 20%>
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 +
 + ===== Impact parameters =====
 +
 +Examples of defining impact parameters in proton collisions ([[https://tikz.net/impact_parameters/|full code]]).
 +
 +<WRAP group><WRAP column 28%>
 +{{latex:tikz:impact_parameters1.png ? 0x1000 }}
 +</WRAP><WRAP column 26%>
 +{{latex:tikz:impact_parameters2.png ? 0x1000 }}
 +</WRAP><WRAP column 38%>
 +{{latex:tikz:impact_parameters3.png ? 0x1000 }}
 +</WRAP></WRAP>
  
  ===== Timelines and scales =====  ===== Timelines and scales =====
  
-Examples of a simple time or energy scale with labels and arrows ([[latex:tikz:timescales|full code]]).+Examples of a simple time or energy scale with labels and arrows ([[https://tikz.net/timeline/|full code]]).
  
 <WRAP group><WRAP third column 15%> <WRAP group><WRAP third column 15%>
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 \\ \\
 </WRAP></WRAP> </WRAP></WRAP>
- 
  
  
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  ===== Jets cones =====  ===== Jets cones =====
  
-Two examples of cones. Full code can be found [[latex:tikz:jet_cones|here]].+Two examples of cones. Full code can be found [[https://tikz.net/jet_cone/|here]].
  
  
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 \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\  \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ 
 </WRAP></WRAP> </WRAP></WRAP>
 +
 +
 +
 +
 +
 + ===== Top jets ===
 +
 +The full code can be found [[https://tikz.net/jet_top/|here]].
 +
 +<WRAP group><WRAP column 30%>
 +{{ latex:tikz:jet_top_resolved.png ? 0x1000 }}
 +</WRAP><WRAP column 30%>
 +{{latex:tikz:jet_top_merged_partial.png ? 0x1000 }}
 +</WRAP><WRAP column 30%>
 +\\ \\ \\ \\ \\
 +{{latex:tikz:jet_top_merged_full.png ? 0x1000 }}
 +</WRAP></WRAP>
 +
 +<code latex>
 +\newcommand\jetcone[5][blue]{{
 +  \pgfmathanglebetweenpoints{\pgfpointanchor{#2}{center}}{\pgfpointanchor{#3}{center}}
 +  \edef\ang{#4/2}
 +  \edef\e{#5}
 +  \edef\vang{\pgfmathresult} % angle of vector OV
 +  \tikzmath{
 +    coordinate \C;
 +    \C = (#2)-(#3);
 +    \x = veclen(\Cx,\Cy)*\e*sin(\ang)^2; % x coordinate P
 +    \y = tan(\ang)*(veclen(\Cx,\Cy)-\x); % y coordinate P
 +    \a = veclen(\Cx,\Cy)*sqrt(\e)*sin(\ang); % vertical radius
 +    \b = veclen(\Cx,\Cy)*tan(\ang)*sqrt(1-\e*sin(\ang)^2); % horizontal radius
 +    \angb = acos(sqrt(\e)*sin(\ang)); % angle of P in ellipse
 +  }
 +  \coordinate (tmpL) at ($(#3)-(\vang:\x pt)+(\vang+90:\y pt)$); % tangency
 +  \draw[thin,#1!40!black,fill=#1!50!black!80,rotate=\vang]
 +    (#3) ellipse({\a pt} and {\b pt});
 +  \draw[thin,#1!40!black,fill=#1!80!black!40,rotate=\vang]
 +    (tmpL) arc(180-\angb:180+\angb:{\a pt} and {\b pt})
 +    -- ($(#2)+(\vang:0.018)$) -- cycle;
 +}}
 +
 +\begin{tikzpicture}
 +  \def\R{2.5}
 +  \coordinate (O) at (0,0);
 +  \coordinate (BJ) at ( 65:1.1*\R); % b jet 1
 +  \coordinate (J1) at ( 15:1.0*\R); % q jet 1
 +  \coordinate (J2) at (-20:1.0*\R); % q jet 2
 +  \jetcone[green!80!black]{O}{BJ}{14}{0.10}
 +  \jetcone{O}{J1}{16}{0.08}
 +  \jetcone{O}{J2}{16}{0.10}
 +  \node[green!50!black] at (65:1.24*\R) {b};
 +  \node[blue!80!black,right] at (-5:1.00*\R) {$\mathrm{W} \to qq$};
 +\end{tikzpicture}
 +</code>
 +
 +
 + ===== Jet vectors =====
 +
 +One can do some projections of jet and MET vectors to construct variables like MT2 in SUSY searches. The full code can be found [[https://tikz.net/jet_vectors/|here]].
 +
 +<WRAP group><WRAP half column 54%>
 +{{ latex:tikz:jet_vectors.png ? 0x1000 }}
 +</WRAP><WRAP half column 42%>
 +{{latex:tikz:jet_vectors_3D.png ? 0x1000 }}
 +</WRAP></WRAP>
 +
 +<code latex>
 +\newcommand\jetcone[4]{
 +  \pgfmathanglebetweenpoints{\pgfpointanchor{#1}{center}}{\pgfpointanchor{#2}{center}}
 +  \edef\tmpang{\pgfmathresult}
 +  \coordinate (tmpC) at ($(#2)+(\tmpang-180:{abs(#4)+0.4})$); % center
 +  \coordinate (tmpL) at ($(tmpC)+(\tmpang+90:#3)$); % left corner
 +  \coordinate (tmpR) at ($(tmpC)+(\tmpang-90:#3)$); % right corner
 +  \draw[cone,rotate=\tmpang]
 +    %(tmpR) arc(90:-90:{#4} and {#3});
 +    (tmpC) ellipse({#4} and {#3});
 +  \begin{scope}
 +    \clip[rotate=\tmpang] (tmpR) -- (#1) -- (tmpL) arc(90:-90:{#4+0.6} and {#3});
 +    \draw[vector] (#1) -- (#2);
 +  \end{scope}
 +  \draw[cone,rotate=\tmpang]
 +    (tmpL) arc(90:270:{#4} and {#3}) -- (#1) -- cycle;
 +}
 +
 +% MT2
 +\begin{tikzpicture}
 +  \def\R{2.8}
 +  \coordinate (O) at (0,0);
 +  \coordinate (J1) at (170:\R); % jet 1 pT
 +  \coordinate (J2) at (-35:\R); % jet 2 pT
 +  \coordinate (M1) at (130:0.9*\R); % pTmiss component 1
 +  \coordinate (M2) at (-10:0.8*\R); % pTmiss component 2
 +  \coordinate (M) at ($(M1)+(M2)$); % total missing momentum
 +  
 +  % PTMISS
 +  \draw[ptmiss,-,very thin] (M1) -- (M) -- (M2);
 +  \draw[ptmiss] (O) -- (M1) node[left=2,above=-3] {$\ptmissX{1}$};
 +  \draw[ptmiss] (O) -- (M2) node[right=0] {$\ptmissX{2}$};
 +  \draw[ptmiss] (O) -- (M) node[above right=-1] {$\ptmiss$};
 +  
 +  % JET CONES
 +  %\draw[vector] (O) -- (J1);
 +  %\draw[vector] (O) -- (J2);
 +  %\cone{O}{J1}{0.3}{0.15}
 +  \jetcone{O}{J1}{0.4}{0.08}
 +  \jetcone{O}{J2}{0.4}{0.10}
 +  \node[vector,left] at (J1) {$\vv{p}_{j_1}$};
 +  \node[vector,right] at (J2) {$\vv{p}_{j_2}$};
 +  
 +  % CURLY BRACE
 +  \draw[line width=0.5,mygreen,decorate,decoration={brace,amplitude=6}]
 +    ($(J1)+(195:0.35*\R)$) -- ($(M1)+(120:0.30*\R)$) node[midway,above left=2] {$\MTX{1}$};
 +  \draw[line width=0.5,mygreen,decorate,decoration={brace,amplitude=6}]
 +    ($(M2)+(10:0.48*\R)$) -- ($(J2)+(-45:0.26*\R)$) node[midway,below=4,right=4] {$\MTX{2}$};
 +  
 +\end{tikzpicture}
 +</code>
 +
 +
 + ===== Tangent to a circle or ellipse =====
 +
 +Some different methods of finding the tangent to a circle or ellipse in TikZ.
 +Using these methods a nice cone can be made.
 +The full code can be found [[https://tikz.net/circle_tangent/|here]].
 +
 +
 +<WRAP group><WRAP half column 45%>
 +{{ latex:tikz:circle_tangent.png ? 0x250 }}
 +</WRAP><WRAP half column 45%>
 +{{latex:tikz:circle_tangent_ellipse.png ? 0x200 }}
 +</WRAP></WRAP>
 +
 +<WRAP group><WRAP half column 45%> \\ \\
 +{{ latex:tikz:circle_tangent_cone1.png ? 0x200 }}
 +</WRAP><WRAP half column 45%>
 +{{latex:tikz:circle_tangent_cone2.png ? 0x250 }}
 +</WRAP></WRAP> \\
 +
 +<code latex>
 +% TANGENT to CIRCLE - known: r, q
 +\begin{tikzpicture}
 +  \def\r{1.5} % radius
 +  \def\q{4} % distance center-external point q = |OQ|
 +  \def\x{{\r^2/\q}} % Q x coordinate
 +  \def\y{{\r*sqrt(1-(\r/\q)^2}} % Q y coordinate
 +  \coordinate (O) at (0,0); % circle center O
 +  \coordinate (Q) at (\q,0); % external point Q
 +  \coordinate (P) at (\x,\y); % point of tangency, P
 +  \draw[->] (0,-1.3*\r) -- (0,1.5*\r);
 +  \draw[->] (-1.3*\r,0) -- (\q+0.4*\r,0);
 +  \draw[dashed] (\x,0) |- (0,\y);
 +  \draw[myblue,thick] (O) circle(\r);
 +  \draw[mygreen,thick] ($(Q)!-0.2!(P)$) -- ($(Q)!1.3!(P)$);
 +  \draw[mygreen,thick] ($(O)!-0.3!(P)$) -- ($(O)!1.4!(P)$);
 +  \rightAngle{Q}{P}{O}{0.40}
 +  \fill[myred] (O) circle(0.05) node[below right] {O};
 +  \fill[myred] (Q) circle(0.05) node[below left] {Q};
 +  \fill[myred] (P) circle(0.05) node[above=3,right=4] {P};
 +\end{tikzpicture}
 +
 +% TANGENT to ELLIPSE - known: a, b, q
 +\begin{tikzpicture}
 +  \def\a{1.5} % horizontal radius
 +  \def\b{1.0} % vertical radius
 +  \def\q{4} % distance center-external point q = |OQ|
 +  \def\x{{\a^2/\q}} % x coordinate P
 +  \def\y{{\b*sqrt(1-(\a/\q)^2}} % y coordinate P
 +  \coordinate (O) at (0,0); % circle center O
 +  \coordinate (Q) at (\q,0); % external point Q
 +  \coordinate (P) at (\x,\y); % point of tangency, P
 +  \draw[->] (0,-\b-0.3*\a) -- (0,\b+0.4*\a);
 +  \draw[->] (-1.3*\a,0) -- (\q+0.4*\a,0);
 +  \draw[dashed] (\x,0) |- (0,\y);
 +  \draw[myblue,thick] (O) ellipse({\a} and {\b});
 +  \draw[mygreen,thick] ($(Q)!-0.2!(P)$) -- ($(Q)!1.3!(P)$);
 +  \draw[mygreen,thick] ($(O)!-0.3!(P)$) -- ($(O)!1.4!(P)$);
 +  \fill[myred] (O) circle(0.05) node[below right] {O};
 +  \fill[myred] (Q) circle(0.05) node[below left] {Q};
 +  \fill[myred] (P) circle(0.05) node[above=3,right=4] {P};
 +\end{tikzpicture}
 +
 +</code>
latex/tikz.txt · Last modified: by iwn

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