Weak hypercharge & isospin

Graphical representation of the weak hypercharge Y & isospin I3 quantum number (of U(1)Y and SU(2)L) of the Standard Model particles, as well as for different types of leptoquarks. Inspired by this image on Wikipedia.

All Standard Model fields:SM_isospin_weak-001.pngAll Standard Model bosons (mass eigenstates after spontaneous symmetry breaking), grouping SU(2)L doublets and triplets:SM_isospin_weak-002.pngUsing the common labeling of the photon and gluon fields as vector fields:SM_isospin_weak-003.pngAll Standard Model bosons (before spontaneous symmetry breaking):SM_isospin_weak-004.pngFermions (quarks & leptons), grouping SU(2)L doublets:SM_isospin_weak-005.pngWith explicit naming of the doublets:SM_isospin_weak-006.pngWithout axes:SM_isospin_weak-007.pngWeak neutral current couplings of lepton and quark, split by axial-vector coupling (cA) and vector coupling (cV):SM_isospin_weak-008.pngAll types of leptoquarks (LQ) allowed by Standard Model symmetries (for an in-depth explanation of all LQ models and their quantum numbers, see for example I. Doršner et al.), shown as SU(2)L singlets, doublets, or triplets:SM_isospin_weak-009.png

Edit and compile if you like:

% Author: Izaak Neutelings (June 2022)
% Inspiration:
% https://en.wikipedia.org/wiki/File:Electroweak.svg
% https://commons.wikimedia.org/wiki/File:Standard_Model.svg
% http://www.scientificlib.com/en/Physics/LX/WeakHypercharge.html % anti-fermions wrong ?
% https://en.wikipedia.org/wiki/Mathematical_formulation_of_the_Standard_Model#Field_content_in_detail
% https://en.wikipedia.org/wiki/C-symmetry#Charge_conjugation_in_the_chiral_basis
\documentclass[border=3pt,tikz]{standalone}
\usepackage{tikz}
\usepackage{amsmath} % for \text
\usepackage[outline]{contour} % glow around text
\usetikzlibrary{arrows.meta} % to control arrow size
\tikzset{>={Latex[length=4,width=4]}} % for LaTeX arrow head
\usetikzlibrary{calc}
\usepackage{xcolor} % for colored text
\contourlength{1.1pt}
\colorlet{myblue}{blue!70!black}
\colorlet{mydarkblue}{blue!40!black}
\colorlet{mypurple}{blue!60!red!80!black}
\colorlet{myred}{red!70!black}
\colorlet{myred2}{red!75!blue!80!black!90}
\colorlet{mydarkred}{red!50!black}
\colorlet{mygreen}{green!60!black}
\colorlet{mygreen2}{green!68!blue!70!black!90}
\colorlet{mydarkgreen}{green!30!black}
\colorlet{myorange}{orange!88!black}
\colorlet{myorange2}{orange!75!black}
\colorlet{myyellow}{yellow!80!orange!90!black}
\def\tick#1#2{\draw[thick] (#1) ++ (#2:1pt) --++ (#2-180:2pt)}
\renewcommand\bar{\overline}
\renewcommand\tilde{\widetilde}
\newcommand{\YW}{Y_\mathrm{W}}
\newcommand{\ff}[2]{#1_\text{#2}} % fermion field
\newcommand{\aff}[2]{\overline{#1}_\text{#2}} % anti-fermion field
\tikzstyle{guide}=[ultra thin,black!15,line cap=round]
\tikzstyle{myball}=[line width=0.05,ball color=#1]
% COMMON MACROS
\def\myball(#1)[#2]{
\fill[ball color=#2] (#1) circle(\r);
 
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Click to download: SM_isospin_weak.texSM_isospin_weak.pdf
Open in Overleaf: SM_isospin_weak.tex

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