Jet vectors & the MT2 variable

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.

jet_vectors

Edit and compile if you like:

% 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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Click to download: jet_vectors.texjet_vectors.pdf
Open in Overleaf: jet_vectors.tex

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