Vertex reconstruction of two photon decay in the CMS detector.

vertex_diphoton-001.pngvertex_diphoton-002.png

Edit and compile if you like:

% Author: Izaak Neutelings (August 2023)
% Description: Vertex reconstruction of two photon decay
% https://indico.cern.ch/event/1296197/#4-exo-23-012-search-for-displa
\documentclass[border=3pt,tikz]{standalone}
\usepackage{amsmath}
\usepackage[outline]{contour} % glow around text
\usetikzlibrary{calc}
\usetikzlibrary{decorations.pathmorphing} % for snake, coil, zigzag
\usetikzlibrary{angles,quotes} % for pic (angle labels)
\tikzset{>=latex} % set default arrow head as latex
\contourlength{1.1pt}
% COLORS
\colorlet{myblue}{blue!80!black}
\colorlet{mygreen}{green!80!black}
\colorlet{calocol}{blue!60!green!90!black!70}
\colorlet{photoncol}{yellow!60!orange!95!black}
% STYLES
\tikzstyle{circle}=[mygreen,dashed]
\tikzstyle{calo}=[draw=calocol!40!black,fill=calocol,
line width=0.6,rounded corners=0.4pt] % calorimeter deposit
\tikzstyle{MET}=[->,red,line width=1.2,dashed]
\tikzstyle{photon}=[thick,line cap=round,photoncol,decorate,decoration={
snake,amplitude=.4mm,segment length=2.5mm,post length=1mm}]
% MACROS
\newcommand*{\myvec}[1]{\vec{\mkern0mu#1}} % correct misalignment in \vec
\newcommand{\ptmiss}{\myvec{p}_\mathrm{T}^\mathrm{\,miss}}
\def\compute{ % compute all vertex parameters
\pgfmathsetmacro\l{sqrt(\R^2-(\L)^2*sin(\atheta/2)^2)-\L*cos(\atheta/2)} % length photon (diphoton vertex to ECAL deposit)
\pgfmathsetmacro\p{\l*cos(\atheta/2)} % projection photon on bisector
\pgfmathsetmacro\r{\l/(2*cos(\atheta/2))} % radius of diphoton circle
\pgfmathsetmacro\aphip{acos((\L+\p)/\R)} % azimuthal angle between photon and bisector from vertex
\message{^^JDiphoton opening angle theta = \atheta}
\message{^^JECAL inner radius R = \R}
\message{^^JParticle path length L = \L}
\message{^^JPhoton path length l = \l}
\message{^^JProj. photon length p = \p}
\message{^^JPhi photon-bisector aphi = \aphip}
}
 
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Click to download: vertex_diphoton.texvertex_diphoton.pdf
Open in Overleaf: vertex_diphoton.tex

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