{{ latex:tikz:jet_vectors.png ? 0x1000 }} {{latex:tikz:jet_vectors_3D.png ? 0x1000 }} Construct variables with vectors of jet en MET, like the MT2 variable in SUSY searches. Using these methods a nice cone can be made. For more, please visit https://tikz.net/tag/jet/. % Author: Izaak Neutelings (May 2021) % Description: % Construct variables with vectors of jet en MET, % like the MT2 variable in SUSY searches. % Inspiration: https://slidetodoc.com/presentation_image/ff8a8e4c690b62727b0cc4ed74967d46/image-7.jpg \documentclass[border=3pt,tikz]{standalone} \usepackage{amsmath} \usepackage{physics} \usepackage{xcolor} \usepackage{etoolbox} %ifthen %\usepackage[outline]{contour} % glow around text \usetikzlibrary{calc} %\usetikzlibrary{arrows,arrows.meta} %\usetikzlibrary{angles,quotes} % for pic (angle labels) \tikzset{>=latex} % for LaTeX arrow head %\contourlength{1.6pt} \usetikzlibrary{decorations.pathreplacing} % for curly braces \colorlet{myblue}{blue!70!black} \colorlet{mydarkblue}{blue!40!black} \colorlet{mygreen}{green!40!black} \colorlet{myred}{red!65!black} \tikzstyle{vector}=[->,very thick,myblue,line cap=round] \tikzstyle{ptmiss}=[->,dashed,thick,myred,line cap=round] \tikzstyle{cone}=[thin,blue!50!black,fill=blue!50!black!30,fill opacity=0.8] \newcommand*{\vv}[1]{\vec{\mkern0mu#1}} % aligned vector arrow \newcommand{\ptmiss}{\vv{p}_\mathrm{T}^\mathrm{miss}} \newcommand*{\ptmissX}[1]{\vv{p}_\mathrm{T}^\mathrm{miss,#1}} \newcommand*{\MTX}[1]{M_\mathrm{T}^{(#1)}} \newcommand\cone[4]{ \pgfmathanglebetweenpoints{\pgfpointanchor{#1}{center}}{\pgfpointanchor{#2}{center}} \coordinate (tmpR) at ($(#2)+(\pgfmathresult+90:#3)$); \coordinate (tmpL) at ($(#2)+(\pgfmathresult-90:#3)$); \draw[blue!80!black] (tmpL) -- (#1) -- (tmpR); %\draw[red] (#2)++(\pgfmathresult:#4) circle({sqrt(#3^2+#4^2)}); \draw[blue!80!black,rotate=\pgfmathresult] (#2) ellipse({#4} and {#3}); } \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; } \begin{document} % 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} % MT2 in 3D \begin{tikzpicture} \def\R{2.8} \def\M{0.85} \coordinate (O) at (0,0); \coordinate (J1) at (170:\R); % jet 1 pT \coordinate (J2) at (-35:\R); % jet 2 pT \coordinate (M1) at (130:1.05*\M); % pTmiss component 1 \coordinate (M2) at (2:0.75*\M); % pTmiss component 2 \coordinate (M) at ($(M1)+(M2)$); % total missing momentum % JET CONE BACK \jetcone{O}{J2}{0.4}{-0.08} \node[vector,right] at (J2) {$\vv{p}_{j_2}$}; % PTMISS \fill[red!80!black!15,opacity=0.75] % transverse plane (O) ellipse ({0.8*\M} and {2.5*\M}); \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 CONE FRONT \jetcone{O}{J1}{0.4}{0.1} \node[vector,left] at (J1) {$\vv{p}_{j_1}$}; \end{tikzpicture} \end{document}