Illustration of the construction of the MT2 variable from jet and MET vectors used in SUSY searches at CMS & ATLAS, for example in arXiv:1909.03460. The figure was presented at a talk in Pheno2021.
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% 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}\usetikzlibrary{calc}\tikzset{>=latex} % for LaTeX arrow head\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 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 (tmpO) at ($(#1)+(\tmpang:0.02)$); % center\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
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