CMS coordinate system

The conventional 3D coordinate system at the CMS detector with definition of the azimuthal angle φ. For the definition of pseudorapidity, please see here.

% Author: Izaak Neutelings (June 2017)
% Inspiration: https://tex.stackexchange.com/questions/159445/draw-in-cylindrical-and-spherical-coordinates

\documentclass[border=3pt,tikz]{standalone}
\usepackage{physics}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usepackage{xcolor}
\usepackage[outline]{contour} % glow around text
\contourlength{0.9pt}
\usetikzlibrary{bending} % for arrow head angle

\colorlet{veccol}{green!50!black}
\colorlet{myred}{red!70!black}
\colorlet{myblue}{blue!70!black}
\colorlet{mydarkred}{red!40!black}
\colorlet{mydarkblue}{blue!30!black}
\colorlet{CMScol}{red!80!black}
\colorlet{ATLAScol}{blue!80!black}
\tikzset{>=latex} % for LaTeX arrow head
\tikzstyle{axis}=[->,thick,line cap=round]
\tikzstyle{detector}=[thick,draw=mydarkred,rotate around z=\ang]
\tikzstyle{beam pipe}=[draw=blue!20!black!50,fill=blue!20!black!10,rotate around z=\ang]
\tikzstyle{detector surface}=[red!60!black!60,opacity=0.06,rotate around z=\ang]
\usetikzlibrary{angles,quotes} % for pic (angle labels)
\newcommand*{\vv}[1]{\vec{\mkern0mu#1}} % aligned vector arrow

\begin{document}


% CMS conventional coordinate system
\tdplotsetmaincoords{75}{50} % to reset previous setting
\begin{tikzpicture}[scale=2.7,tdplot_main_coords,rotate around x=90]
  
  % VARIABLES
  \def\rvec{1.2}
  \def\thetavec{40}
  \def\phivec{70}
  \def\w{0.2}
  \coordinate (O) at (0,0,0);
  \tdplotsetcoord{O'}{0.04}{\thetavec}{\phivec} % shifted
  \tdplotsetcoord{O''}{0.022}{90}{\phivec} % shifted
  \tdplotsetcoord{P}{\rvec}{\thetavec}{\phivec}
  
  % AXES
  \fill[black!20!red] (O) circle(0.8pt) node[left=4,below=2] {CMS};
  \draw[axis] (0,0.028,0) -- (0,1,0) node[below right]{$y$};
  \draw[axis] (0,0,0.028) -- (0,0,1) node[below right]{$z$};
  \draw[axis] (0.030,0,0) -- (1,0,0) node[below left]{$x$};
  
  % VECTORS
  \draw[->,red,line cap=round] (O') -- (P) node[anchor=-30] {$\vv{p}$};
  %\fill[radius=0.4,red] (P) circle;
  \draw[dashed,myred] (O'') -- (Pxy);
  \draw[dashed,myred] (P) -- (Pxy);
  \draw[dashed,myred] (Py) -- (Pxy);
  
  % ARCS
  \tdplotdrawarc[->]{(O)}{0.2}{0}{\phivec}
    {above=2,right=-1,anchor=mid west}{$\phi$}
  \tdplotdrawarc[->,rotate around z=\phivec-90,rotate around y=-90]{(O)}{0.4}{0}{\thetavec}
    {anchor=mid east}{$\theta$}

\end{tikzpicture}


% CMS conventional coordinate system with LHC and other detectors
\tdplotsetmaincoords{75}{50} % to reset previous setting
\begin{tikzpicture}[scale=2.7,tdplot_main_coords,rotate around x=90]
  
  % VARIABLES
  \def\rvec{1.2}
  \def\thetavec{40}
  \def\phivec{60}
  \def\R{1.2}
  \def\w{0.3}
  \coordinate (O) at (0,0,0);
  \tdplotsetcoord{O'}{0.04}{\thetavec}{\phivec} % shifted
  \tdplotsetcoord{O''}{0.022}{90}{\phivec} % shifted
  \tdplotsetcoord{P}{\rvec}{\thetavec}{\phivec}
  
  % CIRCLE - LHC (behind)
  \tdplotdrawarc[thick,rotate around x=90,mydarkblue]{(\R,0,0)}{\R}{0}{360}{}{}
  
  % AXES
  \fill[CMScol] (O) circle(0.8pt) node[left=4,below=2] {CMS};
  \draw[axis] (0,0.028,0) -- (0,1,0) node[below right]{$y$};
  \draw[axis] (0,0,0.028) -- (0,0,1) node[below right]{$z$};
  \draw[axis] (0.030,0,0) -- (1,0,0) node[below left]{$x$};
  
  % VECTORS
  %\fill[radius=0.4,red] (P) circle;
  \draw[dashed,myred] (O'') -- (Pxy);
  \draw[dashed,myred] (P) -- (Pxy);
  \draw[dashed,myred] (Py) -- (Pxy);
  \draw[->,red] (O') -- (P) node[anchor=-30] {$\vv{p}$};
  
  % CIRCLE - LHC (front)
  \tdplotdrawarc[thick,rotate around x=90,mydarkblue,line cap=round]{(\R,0,0)}{\R}{178.6}{90}{}{}
  
  % COMPASS - CMS-ATLAS axis has a ~12° declination (http://googlecompass.com)
  \begin{scope}[shift={(1.1*\R,0,1.65*\R)},rotate around y=12]
    \draw[<->,black!50] (-\w,0,0) -- (\w,0,0);
    \draw[<->,black!50] (0,0,-\w) -- (0,0,\w);
    \node[above=1,left,black!50,scale=0.6] at (-\w,0,0) {N};
  \end{scope}

  % NODES
  \node[left,align=center] at (0,0,1.1) {Jura};
  \node[right,mydarkblue] at (\R,0,0) {LHC};
  \fill[ATLAScol]
    (2*\R,0,0) circle(0.8pt)
    node[right=4,below=2,scale=0.9] {ATLAS};
  \fill[black!10!orange,rotate around x=90]
    (\R,0,0)++(45:\R) circle(0.8pt) % 45 degrees from ATLAS
    node[left=2,below=2,scale=0.8] {ALICE};
  \fill[black!60!green,rotate around x=90]
    (\R,0,0)++(-45:\R) circle(0.8pt) % 45 degrees from ATLAS
    node[below=2,right=2,scale=0.8] {LHCb};
  
  % ARCS
  \tdplotdrawarc[->]{(O)}{0.2}{0}{\phivec}
    {above=3,right=-2,anchor=mid west}{$\phi$}
  \tdplotdrawarc[->,rotate around z=\phivec-90,rotate around y=-90]{(O)}{0.4}{0}{\thetavec}
    {anchor=mid east}{$\theta$}
  
\end{tikzpicture}


% ATLAS conventional coordinate system with LHC and other detectors
\tdplotsetmaincoords{75}{50} % to reset previous setting
\begin{tikzpicture}[scale=2.7,tdplot_main_coords,rotate around x=90]
  
  % VARIABLES
  \def\rvec{1.2}
  \def\thetavec{40}
  \def\phivec{60}
  \def\R{1.2}
  \def\w{0.3}
  \coordinate (O) at (0,0,0);
  \tdplotsetcoord{O'}{0.04}{\thetavec}{\phivec} % shifted
  \tdplotsetcoord{O''}{0.022}{90}{\phivec} % shifted
  \tdplotsetcoord{P}{\rvec}{\thetavec}{\phivec}
  
  % CIRCLE - LHC (behind)
  \tdplotdrawarc[thick,rotate around x=90,mydarkblue]{(\R,0,0)}{\R}{0}{360}{}{}
  
  % AXES
  \fill[ATLAScol] (O) circle(0.8pt) node[left=3,below=2] {ATLAS};
  \draw[axis] (0,0.028,0) -- (0,1,0) node[below right]{$y$};
  \draw[axis] (0,0,0.028) -- (0,0,1) node[left=-1]{$z$};
  \draw[axis] (0.030,0,0) -- (1,0,0) node[below left]{$x$};
  
  % VECTORS
  %\fill[radius=0.4,red] (P) circle;
  \draw[dashed,myblue] (O'')  -- (Pxy);
  \draw[dashed,myblue] (P)  -- (Pxy);
  \draw[dashed,myblue] (Py) -- (Pxy);
  \draw[->,blue,line cap=round] (O') -- (P) node[anchor=-30] {$\vv{p}$};
  
  % CIRCLE - LHC (front)
  \tdplotdrawarc[thick,rotate around x=90,mydarkblue,line cap=round]{(\R,0,0)}{\R}{178.6}{90}{}{}
  
  % COMPASS - CMS-ATLAS axis has a ~12° declination (http://googlecompass.com)
  \begin{scope}[shift={(1.1*\R,0,1.65*\R)},rotate around y=12]
    \draw[<->,black!50] (-\w,0,0) -- (\w,0,0);
    \draw[<->,black!50] (0,0,-\w) -- (0,0,\w);
    \node[right,black!50,scale=0.6] at (\w,0,0) {N};
  \end{scope}

  % NODES
  %\node[left,align=center] at (0,0,1.1) {Jura};
  \node[right,mydarkblue] at (\R,0,0) {LHC};
  \fill[CMScol]
    (2*\R,0,0) circle(0.8pt)
    node[right=4,below=2,scale=0.9] {CMS};
  \fill[black!10!orange,rotate around x=90]
    (\R,0,0)++(225:\R) circle(0.8pt) % 45 degrees from ATLAS
    node[left=2,below=2,scale=0.8] {ALICE};
  \fill[black!60!green,rotate around x=90]
    (\R,0,0)++(135:\R) circle(0.8pt) % 45 degrees from ATLAS
    node[below=5,left=0,scale=0.8] {LHCb};
  
  % ARCS
  \tdplotdrawarc[->]{(O)}{0.2}{0}{\phivec}
    {above=3,right=-2,anchor=mid west}{$\phi$}
  \tdplotdrawarc[->,rotate around z=\phivec-90,rotate around y=-90]{(O)}{0.4}{0}{\thetavec}
    {anchor=mid east}{$\theta$}

\end{tikzpicture}


% CMS detector - left perspective
\tdplotsetmaincoords{75}{50} % to reset previous setting
\begin{tikzpicture}[scale=2.8,tdplot_main_coords,rotate around x=90]
  
  % VARIABLES
  \def\rvec{\L/2/cos(\thetavec)}
  \def\thetavec{18}
  \def\phivec{60}
  \def\L{3.3}    % detector length
  \def\R{0.75}   % detector cylinder radius
  \def\l{4.3}    % beam pipe length
  \def\r{0.04}   % beam pipe radius
  \def\rt{0.042} % beam pipe radius + line thickness
  \def\xmax{1}   % maximum x axis
  \def\ymax{1}   % maximum y axis
  \def\zmin{-\l/2-0.2} % minimum z axis
  \def\zmax{\l/2+0.3}  % maximum z axis
  \def\w{0.3}
  \coordinate (O) at (0,0,0);
  \coordinate (Z) at (0,0,\L/2);
  \tdplotsetcoord{O'}{0.022}{\thetavec}{\phivec} % slightly shifted origin
  \tdplotsetcoord{O''}{0.018}{90}{\phivec} % slightly shifted origin
  \tdplotsetcoord{P}{\rvec}{\thetavec}{\phivec}
  
  % CYLINDER behind
  \def\ang{19} % rotate lines to simulate cylinder
  \fill[top color=red!50!black!4,bottom color=red!60!black!2,rotate around z=\ang]
    (0,\R,\L/2) --++ (0,0,-\L) arc(90:270:\R) --++ (0,0,\L) arc(270:90:\R) -- cycle;
  \fill[detector surface] % transverse plane at z=L/2
    (0,0,\L/2) --++ (0,\R,0) arc(90:270:\R) -- cycle;
  \fill[detector surface] % transverse plane at z=-L/2
    (0,0,-\L/2) --++ (0,\R,0) arc(90:270:\R) -- cycle;
  \tdplotdrawarc[detector]{(0,0,\L/2)}{\R}{0}{360}{}{}
  \tdplotdrawarc[detector,thin]{(0,0,-\L/2)}{\R}{0}{360}{}{}
  %\draw[detector,canvas is yx plane at z=-\L/2] (0,0,0) circle(\R);
  \draw[detector,thin] % transverse plane at z=0
    (90-\ang:\R) arc (90-\ang:270:\R);
  \draw[detector] (0,0,-\L/2)++(90:\R) --++ (0,0,\L); % top horizontal
  \draw[detector] (0,0,-\L/2)++(-90:\R) --++ (0,0,\L); % bottom horizontal
  
  % BEAM PIPE
  \tdplotdrawarc[beam pipe]{(0,0,\l/2)}{\r}{0}{360}{}{}
  %\tdplotdrawarc[beam pipe]{(0,0,-\l/2)}{\r}{\ang-90}{90}{}{}
  %\draw[beam pipe] % cylindric beam pipe
  %  (0,\r,-\l/2) --++ (0,0,\l) arc(90:-90:\r)
  %  --++ (0,0,-\l) arc(-90:90:\r);
  \draw[beam pipe] % beam pipe, thinner in middle
    (0,\r,-\l/2) -- (0,\r,-0.2*\l) -- (90:0.5*\r)
    -- (0,\r,0.2*\l) -- (0,\r,0.5*\l) arc(90:-90:\r)
    -- (0,-\r,0.2*\l) -- (-90:0.5*\r) --
    (0,-\r,-0.2*\l) -- (0,-\r,-\l/2) arc(-90:90:\r);
  \draw[beam pipe] (0,0,\l/2) circle(\r);
  
  % AXES
  %\draw[thick,->] (0,0,0) -- (0,0,1) node[below right]{$z$}; % short
  \draw[axis,-] (0,0,\zmin) -- (0,0,0); % long
  \fill[CMScol] (O) circle(0.5pt) node[right=1,below=1] {IP};
  \draw[axis] (0,0,0.020) -- (0,0,\zmax) node[right=3,below=1]{$z$}; % long
  \draw[axis] (0,0.019,0) -- (0,\ymax,0) node[below left]{$y$};
  \draw[dashed,myred] (O'')  -- (Pxy);
  \draw[axis] (0.022,0,0) -- (\xmax,0,0) node[below=1,right=-2]{$x$};
  
  % LABELS
  \node[mydarkred,above] at (0,\ymax,0) {$\eta=0$};
  \node[mydarkred,above=3] at (0,\R,0.3*\L) {$\eta>0$};
  \node[mydarkred,above=3] at (0,\R,-0.2*\L) {$\eta<0$};
  \node[mydarkred,below=1,left] at (0,0,\zmax) {$\eta=\infty$};
  \node[mydarkred,above=1,right] at (0,0,\zmin) {$\eta=-\infty$};
  
  % VECTORS
  %\fill[radius=0.4,red] (P) circle;
  \draw[dashed,myred] (P)  -- (Pxy);
  \draw[dashed,myred] (Py) -- (Pxy);
  \draw[dashed,myred] (P) -- (Pz);
  \draw[->,red,line cap=round] (O') -- (P) node[anchor=-30] {$\vv{p}$};
  
  % CYLINDER front
  \draw[beam pipe,fill=none] (0,\r,-\l/2) arc(90:-90:\r);
  \fill[detector surface] % transverse plane at z=L/2
    (0,\rt,\L/2) --++ (0,\R-\rt,0) arc(90:-90:\R) --++ (0,\R-\rt,0) arc(-90:90:\rt);
  \fill[detector surface] % transverse plane at z=-L/2
    (0,\rt,-\L/2) --++ (0,\R-\rt,0) arc(90:-90:\R) --++ (0,\R-\rt,0) arc(-90:90:\rt);
  \tdplotdrawarc[detector]{(0,0,\L/2)}{\R}{-90}{90}{}{} % transverse plane at z=L/2
  \tdplotdrawarc[detector]{(0,0,-\L/2)}{\R}{-90}{90}{}{} % transverse plane at z=-L/2
  \draw[beam pipe,fill=none] (0,\r,\l/2) arc(90:-90:\r);
  \draw[detector,very thin] % transverse plane at z=0
    (90-\ang:\R) arc (90-\ang:-90:\R);
  
  % ANGLES
  \tdplotdrawarc[thick,red!57!black!3] % contour
    {(O)}{0.2}{4}{0.7*\phivec}{}{}
  \tdplotdrawarc[draw=none,opacity=0.8]{(O)}{0.2}{0}{\phivec} % transparant contour
    {above=2,right=-1,anchor=mid west}{\contour{red!55!black!3}{$\phi$}}
  \tdplotdrawarc[->]{(O)}{0.2}{0}{\phivec}
    {above=2,right=-1,anchor=mid west}{$\phi$}
  \tdplotdrawarc[->,rotate around z=\phivec-90,rotate around y=-90]
    {(O)}{0.88}{0}{\thetavec}{anchor=mid east}{$\theta$}
  \tdplotdrawarc[thick,red!58!black!4,rotate around z=\phivec-90,rotate around y=-90] % contour
    {(O)}{0.3}{88}{0.5*(90+\thetavec)}{}{}
  \tdplotdrawarc[-{>[flex'=1]},rotate around z=\phivec-90,rotate around y=-90,line cap=round]
    {(O)}{0.3}{90}{\thetavec}{above=4,right=2,anchor=mid east}{$\eta$}
  \draw[mydarkred] (0,0,\L/2) --++ (\R,0,0);
  \tdplotdrawarc[thick,red!60!black!6] % contour
    {(Z)}{0.2}{4}{0.7*\phivec}{}{}
  \tdplotdrawarc[draw=none,opacity=0.8]{(Z)}{0.2}{0}{\phivec} % transparant contour
    {above=2,right=-1,anchor=mid west}{\contour{red!60!black!6}{$\phi$}}
  \tdplotdrawarc[->]{(Z)}{0.2}{0}{\phivec}
    {above=2,right=-1,anchor=mid west}{$\phi$}
  
  % COMPASS - CMS-ATLAS axis has a ~12° declination (http://googlecompass.com)
  \begin{scope}[shift={(1.1*\R,-\R,0.2*\L)},rotate around y=12]
    \draw[<->,black!50] (-\w,0,0) -- (\w,0,0);
    \draw[<->,black!50] (0,0,-\w) -- (0,0,\w);
    \node[above=1,left,black!50,scale=0.6] at (-\w,0,0) {N};
    \node[below=3,left=-2,green!20!black!50,scale=0.6] at (0,0,\w) {Jura};
    %\node[below=1,right,black!50,scale=0.6,align=center] at (\w,0,0) {center of\\the LHC};
    \node[below=1,right,blue!30!black!50,scale=0.6] at (\w,0,0) {ATLAS};
  \end{scope}
  \draw[->,thick,orange!30!black] (1.4*\w,-\R,-0.1*\L) --++ (2*\w,0,0)
    node[below=1,right,scale=0.8,align=center] {center of\\[-1pt]the LHC};

\end{tikzpicture}


% CMS detector - right perspective
\tdplotsetmaincoords{70}{125} % to reset previous setting
\begin{tikzpicture}[scale=2.8,tdplot_main_coords,rotate around x=90]
  
  % VARIABLES
  \def\rvec{\L/2/cos(\thetavec)}
  \def\thetavec{17}
  \def\phivec{60}
  \def\L{3.1}     % detector length
  \def\R{0.75}    % detector cylinder radius
  \def\l{4.1}     % beam pipe length
  \def\r{0.04}    % beam pipe radius
  \def\rt{0.042}  % beam pipe radius + line thickness
  \def\xmax{1}    % maximum x axis
  \def\ymax{1.05} % maximum y axis
  \def\zmin{-\l/2-0.2} % minimum z axis
  \def\zmax{\l/2+0.3}  % maximum z axis
  \def\w{0.3}
  \coordinate (O) at (0,0,0);
  \coordinate (Z) at (0,0,\L/2);
  \tdplotsetcoord{O'}{0.8*\rvec}{\thetavec}{\phivec} % shifted origin
  \tdplotsetcoord{O''}{0.018}{90}{\phivec} % shifted origin
  \tdplotsetcoord{P}{\rvec}{\thetavec}{\phivec}
  
  % CYLINDER behind
  \def\ang{20} % rotate lines to simulate cylinder
  \fill[top color=red!50!black!4,bottom color=red!60!black!2,rotate around z=\ang]
    (0,\R,\L/2) --++ (0,0,-\L) arc(90:270:\R) --++ (0,0,\L) arc(270:90:\R) -- cycle;
  \fill[detector surface] % transverse plane at z=L/2
    (0,0,\L/2) --++ (0,\R,0) arc(90:270:\R) -- cycle;
  \fill[detector surface] % transverse plane at z=-L/2
    (0,0,-\L/2) --++ (0,\R,0) arc(90:270:\R) -- cycle;
  \tdplotdrawarc[detector,thin]{(0,0,\L/2)}{\R}{0}{360}{}{} % transverse plane at z=L/2
  \tdplotdrawarc[detector]{(0,0,-\L/2)}{\R}{0}{360}{}{} % transverse plane at z=-L/2
  \draw[detector,thin] % transverse plane at z=0
    (90-\ang:\R) arc (90-\ang:270:\R);
  \draw[detector] (0,0,-\L/2)++(90:\R) --++ (0,0,\L); % top horizontal
  \draw[detector] (0,0,-\L/2)++(-90:\R) --++ (0,0,\L); % bottom horizontal
  
  % BEAM PIPE
  \tdplotdrawarc[beam pipe]{(0,0,-\l/2)}{\r}{0}{360}{}{}
  \draw[beam pipe] % beam pipe, thinner in middle
    (0,\r,-\l/2) -- (0,\r,-0.2*\l) -- (90:0.5*\r)
    -- (0,\r,0.2*\l) -- (0,\r,0.5*\l) arc(90:-90:\r)
    -- (0,-\r,0.2*\l) -- (-90:0.5*\r) --
    (0,-\r,-0.2*\l) -- (0,-\r,-\l/2) arc(-90:90:\r);
  \draw[beam pipe] (0,0,\l/2) circle(\r);
  
  % AXES
  \draw[axis] (0,0,0) -- (0,0,\zmax) node[right=3,below=2]{$z$}; % long
  \draw[->,red] (O) -- (P) node[above left=-4] {$\vv{p}$};
  \fill[CMScol] (O) circle(0.5pt) node[right=1,below=1] {IP};
  \draw[axis,-] (0,0,\zmin) -- (0,0,-0.020); % long
  \draw[axis] (0,0.019,0) -- (0,\ymax,0) node[below left]{$y$};
  \draw[axis] (0.022,0,0) -- (\xmax,0,0) node[below=1,left=-2]{$x$};
  
  % LABELS
  \node[mydarkred,above] at (0,\ymax,0) {$\eta=0$};
  \node[mydarkred,above=6] at (0,\R,0.23*\L) {$\eta>0$};
  \node[mydarkred,above=6] at (0,\R,-0.3*\L) {$\eta<0$};
  \node[mydarkred,above=1,left] at (0,0,\zmax) {$\eta=\infty$};
  \node[mydarkred,below=1,right] at (0,0,\zmin) {$\eta=-\infty$};
  
  % VECTORS
  %\fill[radius=0.4,red] (P) circle;
  \draw[dashed,myred] (O'')  -- (Pxy);
  \draw[dashed,myred] (P)  -- (Pxy);
  \draw[dashed,myred] (Py) -- (Pxy);
  \draw[dashed,myred] (P) -- (Pz);
  \draw[->,red] (O') -- (P);
  
  % CYLINDER front
  \draw[beam pipe,fill=none] (0,\r,-\l/2) arc(90:-90:\r);
  \fill[detector surface] % transverse plane at z=L/2
    (0,\rt,\L/2) --++ (0,\R-\rt,0) arc(90:-90:\R) --++ (0,\R-\rt,0) arc(-90:90:\rt);
  \fill[detector surface] % transverse plane at z=-L/2
    (0,\rt,-\L/2) --++ (0,\R-\rt,0) arc(90:-90:\R) --++ (0,\R-\rt,0) arc(-90:90:\rt);
  \tdplotdrawarc[detector]{(0,0,\L/2)}{\R}{-90}{90}{}{}
  \tdplotdrawarc[detector]{(0,0,-\L/2)}{\R}{-90}{90}{}{}
  \draw[beam pipe,fill=none] (0,\r,\l/2) arc(90:-90:\r);
  \draw[detector,very thin] % transverse plane at z=0
    (90-\ang:\R) arc (90-\ang:-90:\R);
  
  % ANGLES
  \tdplotdrawarc[thick,red!57!black!3]{(O)}{0.2}{4}{0.7*\phivec}{}{} % contour
  \tdplotdrawarc[draw=none,opacity=0.8]{(O)}{0.2}{0}{\phivec} % transparant contour
    {below=4,left=-1,anchor=mid east}{\contour{red!55!black!3}{$\phi$}}
  \tdplotdrawarc[->]{(O)}{0.2}{0}{\phivec}
    {below=4,left=-1,anchor=mid east}{$\phi$}
  \tdplotdrawarc[->,rotate around z=\phivec-90,rotate around y=-90]
    {(O)}{1.05}{0}{\thetavec}{above=2,anchor=mid east}{$\theta$}
  \tdplotdrawarc[-{>[bend=1]},rotate around z=\phivec-90,rotate around y=-90,line cap=round]
    {(O)}{0.3}{90}{\thetavec}{above=4,right=2,anchor=mid east}{$\eta$}
  \draw[mydarkred,line cap=round] (0.004,0,\L/2) --++ (\R,0,0);
  \tdplotdrawarc[thick,red!60!black!4]{(Z)}{0.2}{4}{0.7*\phivec}{}{} % contour
  \tdplotdrawarc[draw=none]{(Z)}{0.2}{0}{\phivec} % transparant contour
    {below=4,left=-1,anchor=mid east,opacity=0.8}{\contour{red!60!black!4}{$\phi$}}
  \tdplotdrawarc[->]{(Z)}{0.2}{0}{\phivec}
    {below=4,left=-1,anchor=mid east}{$\phi$}
  
  % COMPASS - CMS-ATLAS axis has a ~12° declination (http://googlecompass.com)
  \begin{scope}[shift={(1.3*\R,-\R,0.45*\L)},rotate around y=12]
    \draw[<->,black!50] (-\w,0,0) -- (\w,0,0);
    \draw[<->,black!50] (0,0,-\w) -- (0,0,\w);
    \node[right=4,above,black!50,scale=0.6] at (-\w,0,0) {N};
    \node[above=1,left=-1,green!20!black!50,scale=0.6] at (0,0,\w) {Jura};
    \node[left=2,below=1,blue!30!black!50,scale=0.6] at (\w,0,0) {ATLAS};
  \end{scope}
  \draw[->,thick,orange!30!black] (1.4*\w,-\R,0.1*\L) --++ (2*\w,0,0)
    node[below=1,left,scale=0.8,align=center] {center of\\[-1pt]the LHC};

\end{tikzpicture}


\end{document}

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