standard_model.tex

% © 2016 Henrik Öhman
% Distributed under the CC BY-SA 4.0 license
\documentclass{article}

\usepackage{unicode-math}
\usepackage{xcolor}
\usepackage{graphicx}
\usepackage{tikz}
\usepackage{luacode}
\usepackage[pdfborder={0 0 0}]{hyperref}
\usepackage[active,tightpage]{preview}

\PreviewEnvironment{minipage} 
\usetikzlibrary{positioning}

\definecolor{mypurple}{cmyk}{0.07,0.27,0,0}
\definecolor{mygreen}{cmyk}{0.33,0,0.53,0}
\definecolor{myred}{cmyk}{0,0.40,0.53,0}
\definecolor{myyellow}{cmyk}{0,0,0.50,0.07}

\tikzset{%
    cell/.style={%
        font=\bfseries\sffamily\scriptsize,
        draw,
        minimum size=1cm,%
        inner sep=0pt,%
        outer sep=1mm,%
        align=center%
    },%
    quark/.style={%
        fill=mypurple
    },%
    lepton/.style={%
        fill=mygreen%
    },%
    boson/.style={%
        fill=myred%
    },%
    higgs/.style={%
        fill=myyellow%
    },%
    count/.style={%
        minimum size=1cm,%
        inner sep=0pt,%
        outer sep=0pt,%
        align=center%
    },%
    bottomlabel/.style={%
        anchor=north,%
    },%
    leptonlabel/.style={%
        anchor=south,%
        rotate=90,%
        color=mygreen%
    },
    quarklabel/.style={%
        anchor=south,%
        rotate=90,%
        color=mypurple%
    },
    bosonlabel/.style={%
        anchor=north,%
        rotate=90,%
        color=myred%
    },
    textlabel/.style={%
        anchor=east,%
        color=gray%
    },
    footnotelabel/.style={%
        anchor=north,%
        color=gray%
    },
    license/.style={%
        anchor=north,%
        color=gray%
    }
}

\begin{luacode*}
    data = {
      {
        {type="q", nu=false, spin="1/2", charge="+2/3", mass="2.3 MeV", long="up", short="u"},
        {type="q", nu=false, spin="1/2", charge="+2/3", mass="1.28 GeV", long="charm", short="c"},
        {type="q", nu=false, spin="1/2", charge="+2/3", mass="173 GeV", long="top", short="t"},
        {type="b", nu=false, spin="1",   charge="0",    mass="0", long="gluon", short="g"},
      },
      {
        {type="q", nu=false, spin="1/2", charge="-1/3", mass="4.8 MeV", long="down", short="d"},
        {type="q", nu=false, spin="1/2", charge="-1/3", mass="95 MeV", long="strange", short="s"},
        {type="q", nu=false, spin="1/2", charge="-1/3", mass="4.18 GeV", long="bottom", short="b"},
        {type="b", nu=false, spin="1",   charge="0",    mass="0", long="photon", short="γ"}
      },
      {
        {type="l", nu=false, spin="1/2", charge="-1",   mass="0.511 MeV", long="electron", short="e"},
        {type="l", nu=false, spin="1/2", charge="-1",   mass="106 MeV", long="muon", short="μ"},
        {type="l", nu=false, spin="1/2", charge="-1",   mass="1.78 GeV", long="tau", short="τ"},
        {type="b", nu=false, spin="1",   charge="0",    mass="80.4 GeV", long="Z boson", short="Z"}
      },
      {
        {type="l", nu=true,  spin="1/2", charge="0",    mass="< 2 eV${}^{*}$", long=[[electron\\neutrino]], short="ν_e"},
        {type="l", nu=true,  spin="1/2", charge="0",    mass="< 0.19 MeV${}^{*}$", long=[[muon\\neutrino]], short="ν_μ"},
        {type="l", nu=true,  spin="1/2", charge="0",    mass="< 18.2 MeV${}^{*}$", long=[[tau\\neutrino]], short="ν_τ"},
        {type="b", nu=false, spin="1",   charge="±1",   mass="91.2 GeV", long="W boson", short="W"}}
    }
    higgs = {type="h", nu=true, spin="0", charge="0", mass="125 GeV", long=[[Higgs\\boson]], short="H"}


    function print_cell(data, x, y)
        if data.type == "q" then
            tex.sprint([[\node[cell, quark] at (]])
        elseif data.type == "l" then
            tex.sprint([[\node[cell, lepton] at (]])
        elseif data.type == "b" then
            tex.sprint([[\node[cell, boson] at (]])
        else
            tex.sprint([[\node[cell, higgs] at (]])
        end
        tex.sprint(x)
        tex.sprint([[cm,]])
        tex.sprint(y)
        tex.sprint([[cm){};]])

        tex.sprint([[\node at (]])
        tex.sprint(x+0.13)
        tex.sprint([[cm,]])
        tex.sprint(y+0.0)
        tex.sprint([[cm){\Large$\mathbf{\vphantom{γZ} ]])
        tex.sprint(data.short)
        tex.sprint([[}$};]])

        tex.sprint([[\node[scale=0.55, anchor=west] at (]])
        tex.sprint(x-0.47)
        tex.sprint([[cm,]])
        if data.nu then
          tex.sprint(y-0.33)
          tex.sprint([[cm){\small\vphantom{gZ}\parbox{1.2cm}{\baselineskip=5pt ]])
          tex.sprint(data.long)
          tex.sprint([[}]])
        else
          tex.sprint(y-0.37)
          tex.sprint([[cm){\small\vphantom{gZ}]])
          tex.sprint(data.long)
        end
        tex.sprint([[};]])

        tex.sprint([[\node[scale=0.45, anchor=west] at (]])
        tex.sprint(x-0.47)
        tex.sprint([[cm,]])
        tex.sprint(y+0.37)
        tex.sprint([[cm){\small\vphantom{gZ}]])
        tex.sprint(data.mass)
        tex.sprint([[};]])

        tex.sprint([[\node[scale=0.45, anchor=west] at (]])
        tex.sprint(x-0.47)
        tex.sprint([[cm,]])
        tex.sprint(y+0.19)
        tex.sprint([[cm){\small\vphantom{gZ}]])
        tex.sprint(data.charge)
        tex.sprint([[};]])

        tex.sprint([[\node[scale=0.45, anchor=west] at (]])
        tex.sprint(x-0.47)
        tex.sprint([[cm,]])
        tex.sprint(y+0.01)
        tex.sprint([[cm){\small\vphantom{gZ}]])
        tex.sprint(data.spin)
        tex.sprint([[};]])
    end

    function print_data(data)
        local cols = #data[1]
        local rows = #data
        local size = 1.1

        tex.sprint([[\begin{tikzpicture}[font=\sffamily] ]])
          tex.sprint([[\begin{scope}[local bounding box=graph] ]])

            for j = 1, cols do
              for i = 1, rows do
                  local x = (j - 1)*size
                  local y = (-i + 1)*size
                  print_cell(data[i][j], x, y)
              end
            end

          tex.sprint([[\end{scope}]])

          print_cell(higgs, 4.4, 0.0)

          tex.sprint([[\node[scale=0.40, inner sep=1mm, left=0.3mm of graph, yshift=51.4mm, textlabel] {\small Mass${}^{†*}$ →};]])
          tex.sprint([[\node[scale=0.40, inner sep=1mm, left=0.3mm of graph, yshift=46.4mm, textlabel] {\small Charge${}^{†}$ →};]])
          tex.sprint([[\node[scale=0.40, inner sep=1mm, left=0.3mm of graph, yshift=42.0mm, textlabel] {\small Spin${}^{†}$ →};]])

          tex.sprint([[\node[inner sep=1mm, left=1mm of graph, yshift=6.5mm, quarklabel] {Quarks};]])
          tex.sprint([[\node[inner sep=1mm, left=1mm of graph, yshift=-15mm, leptonlabel] {Leptons};]])
          tex.sprint([[\node[inner sep=1mm, right=1mm of graph, yshift=-10.2mm, bosonlabel] {Gauge Bosons};]])

          tex.sprint([[\node[scale=0.40, inner sep=0mm, yshift=-47mm, right=10mm of graph, license] {\rotatebox{90}{\small \href{https://creativecommons.org/licenses/by-sa/4.0/}{CC BY-SA 4.0}}};]])

          tex.sprint([[\node[scale=0.40, inner sep=0mm, below=0.3mm of graph, xshift=-3mm, footnotelabel] {\small ${}^{†}$Masses, charges, and spins are given in \emph{natural} units, i.e. $e = h = c = 1$.};]])

          tex.sprint([[\node[scale=0.40, inner sep=0mm, below=1.9mm of graph, xshift=7mm, footnotelabel] {\small ${}^{*}$Masses are determined from experiment. Neutrinos are massless in the Standard Model.};]])

          tex.sprint([[\node[scale=0.40, inner sep=0mm, below=4.0mm of graph, xshift=10mm, footnotelabel] {\small K.A. Olive et al. (Particle Data Group), Chin. Phys. C, 38, 090001 (2014) and 2015 update.};]])
        tex.sprint([[\end{tikzpicture}]])
    end
  \end{luacode*}

\begin{document}
\begin{minipage}[c][50mm][c]{62mm}
  \luadirect{print_data(data)}
\end{minipage}
\end{document}

"Particle content of the Standard Model with experimentally determined masses [K.A. Olive et al. (Particle Data Group), Chin. Phys. C, 38, 090001 (2014) and 2015 update.]. The neutrinos are massless in the Standard Model, but are known to have mass from neutrino oscillation experiments. The values of the masses, charges, and spin are given in natural units, i.e. e = h = c = 1."