Particle Physics

Standard Model

Six quarks, six leptons, four force carriers, plus the Higgs — physics's greatest theory

The Standard Model is the framework of all known fundamental particles and forces (except gravity). 12 fermions (6 quarks, 6 leptons) form matter; 4 gauge bosons mediate forces (photon for EM, W/Z for weak, gluon for strong); Higgs gives particles mass. Tested to extraordinary precision; its predictions match all collider experiments. Doesn't include gravity, dark matter, or dark energy.

  • Fermions6 quarks (u, d, c, s, t, b) + 6 leptons (e, µ, τ, ν_e, ν_µ, ν_τ)
  • Bosons (force carriers)Photon, W±, Z, 8 gluons
  • Higgs bosonDiscovered at LHC, 2012
  • Forces unifiedElectromagnetic, weak (electroweak); strong (separately)
  • ExcludedGravity, dark matter, dark energy
  • Built upQuantum field theory; gauge symmetries

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Standard Model particles

TypeGeneration 1Generation 2Generation 3
Quarks (charge +2/3)up (u), 2.2 MeVcharm (c), 1.27 GeVtop (t), 173 GeV
Quarks (charge −1/3)down (d), 4.7 MeVstrange (s), 95 MeVbottom (b), 4.18 GeV
Charged leptonselectron (e), 0.511 MeVmuon (µ), 105.7 MeVtau (τ), 1.777 GeV
Neutrinosν_eν_µν_τ

Plus 12 antiparticles. Generations differ by mass; otherwise similar.

Force carriers

ForceBosonMassRange
ElectromagneticPhoton (γ)0Infinite
WeakW±, Z80.4, 91.2 GeVVery short (10⁻¹⁸ m)
StrongGluon (g) — 8 types0~1 fm (confined)
(Gravity — not in SM)(Graviton — hypothetical)(0)(Infinite)

Higgs sector

ItemValue
Higgs boson mass125.25 GeV (LHC, 2012)
Higgs field VEV~246 GeV
Spin0 (scalar)
DiscoveredJuly 4, 2012; ATLAS and CMS
NobelEnglert, Higgs (2013)

JavaScript — Standard Model summary

const SM_particles = {
  // Quarks
  'up': { type: 'quark', mass_GeV: 0.0022, charge: 2/3, generation: 1 },
  'down': { type: 'quark', mass_GeV: 0.0047, charge: -1/3, generation: 1 },
  'charm': { type: 'quark', mass_GeV: 1.27, charge: 2/3, generation: 2 },
  'strange': { type: 'quark', mass_GeV: 0.095, charge: -1/3, generation: 2 },
  'top': { type: 'quark', mass_GeV: 173, charge: 2/3, generation: 3 },
  'bottom': { type: 'quark', mass_GeV: 4.18, charge: -1/3, generation: 3 },
  // Leptons
  'electron': { type: 'lepton', mass_GeV: 0.000511, charge: -1, generation: 1 },
  'muon': { type: 'lepton', mass_GeV: 0.1057, charge: -1, generation: 2 },
  'tau': { type: 'lepton', mass_GeV: 1.777, charge: -1, generation: 3 },
  // Bosons
  'photon': { type: 'boson', mass_GeV: 0, force: 'EM' },
  'W+': { type: 'boson', mass_GeV: 80.4, force: 'weak' },
  'W-': { type: 'boson', mass_GeV: 80.4, force: 'weak' },
  'Z': { type: 'boson', mass_GeV: 91.2, force: 'weak' },
  'gluon': { type: 'boson', mass_GeV: 0, force: 'strong' },
  // Higgs
  'higgs': { type: 'scalar', mass_GeV: 125.25, role: 'mass-giver' },
};

// Group by type
const quarks = Object.keys(SM_particles).filter(p => SM_particles[p].type === 'quark');
const leptons = Object.keys(SM_particles).filter(p => SM_particles[p].type === 'lepton');
console.log('Quarks:', quarks);
console.log('Leptons:', leptons);

// Compare proton mass to constituent quarks
function protonMassFromQuarks() {
  // Proton = uud
  return 2 * SM_particles.up.mass_GeV + SM_particles.down.mass_GeV;  // GeV
}

console.log(`Proton from constituent quarks: ${protonMassFromQuarks().toFixed(4)} GeV`);
console.log(`Actual proton mass: 0.9383 GeV`);
// Most of proton mass comes from gluon binding energy, NOT quark masses
// QCD binding contributes ~99% of proton mass

// Energy scales
console.log(`Higgs VEV: 246 GeV (electroweak scale)`);
console.log(`Strong coupling at 1 GeV: ~1`);
console.log(`Strong coupling at 100 GeV: ~0.12`);
// Asymptotic freedom — strong force WEAKER at high energies

Where Standard Model matters

  • Particle physics. Foundation of all collider experiments and theoretical predictions.
  • Cosmology. Big Bang nucleosynthesis, baryon asymmetry, neutrino backgrounds.
  • Astrophysics. Stellar evolution requires SM physics (fusion uses weak force, EM, strong).
  • Material physics. Atoms work because of SM forces; chemistry is electromagnetic.
  • Medicine. Particle therapy uses high-energy beam physics; PET uses positron annihilation.
  • Detection technology. Particle detectors at LHC, dark matter searches, neutrino experiments.
  • Open questions. SM's gaps motivate beyond-SM theories — dark matter, dark energy, hierarchy problem.

Common mistakes

  • Calling SM "the theory of everything." NO — gravity is excluded. Doesn't include dark matter, dark energy. Theory of (most) everything.
  • Treating quarks as separate particles. Quarks are confined inside hadrons (protons, neutrons, pions, etc.); never observed in isolation due to QCD confinement.
  • Misunderstanding Higgs. Higgs gives MASS via interaction; doesn't directly cause gravity. Different physics from gravity.
  • Forgetting neutrinos in SM. Often overlooked. Three neutrino flavors; recently shown to have small but nonzero masses.
  • Confusing W/Z and force range. W, Z massive → short range (~10⁻¹⁸ m). Photon massless → infinite range. Gluon massless but confined → ~1 fm range.
  • Mixing fundamental and composite particles. Quarks and leptons fundamental in SM; protons, neutrons, atoms are composite.

Frequently asked questions

What's in the Standard Model?

17 fundamental particles. 12 matter fermions: 6 quarks (up, down, charm, strange, top, bottom) + 6 leptons (electron, muon, tau, three neutrinos). 4 gauge bosons: photon (EM), W± and Z (weak), gluon (strong). 1 Higgs boson (mass-giver). Plus antiparticles for fermions. Each particle described by quantum field theory.

Why three "generations" of fermions?

Mystery! Standard Model has 3 sets of similar particles — (u,d) + (electron, ν_e) [first gen]; (c,s) + (µ, ν_µ) [second]; (t,b) + (τ, ν_τ) [third]. Each next generation heavier. We need only first generation for matter as we know it. Why three? Open question. Beyond Standard Model theories try to explain.

What does the Higgs boson do?

Particles get mass via the Higgs field. Without Higgs, all fermions and W/Z bosons would be massless. Higgs field permeates universe; particles "drag" through it, gaining inertial mass. Massless particles (photon, gluon) don't interact with Higgs. Higgs boson (discovered 2012) is the excitation of this field. Higgs mechanism is what gives our world structure (atoms can form because electrons have mass).

How was the Standard Model built up?

Decades of theory + experiment. QED (Quantum Electrodynamics, ~1948-1965) — most precise theory ever (matches anomalous magnetic moment to 10⁻¹⁰). Electroweak unification (Glashow, Salam, Weinberg, 1967-1980) — combines EM and weak. QCD (Quantum Chromodynamics, 1970s) — strong force. Higgs predicted (1964); discovered 2012. All Nobel-winning work.

What's missing from the Standard Model?

(1) Gravity — not a quantum theory in SM. (2) Dark matter — known to exist astrophysically; no SM particle fits. (3) Dark energy — accelerating expansion. (4) Neutrino masses — added later (originally massless in SM). (5) Matter-antimatter asymmetry — SM CP violation insufficient. (6) Hierarchy problem — why Higgs mass so different from Planck scale. Many BSM (Beyond Standard Model) theories try to address.

How is the Standard Model tested?

At colliders (LHC, Tevatron, LEP) — produce particles, measure properties, match to predictions. Precision experiments — anomalous magnetic moments, CKM mixing, neutrino oscillations. Cosmic — neutrino observatories, cosmic ray experiments. SM has passed every test so far at unprecedented precision. Some "anomalies" exist (muon g-2, B physics) — possibly statistical, possibly hint of new physics.

Will physics need beyond-SM theories?

Almost certainly. SM doesn't explain dark matter, dark energy, neutrino masses, baryon asymmetry. Theoretical issues (hierarchy problem, lack of unification with gravity). BSM theories — supersymmetry, extra dimensions, GUTs, string theory — all try to extend or replace SM. None confirmed yet. LHC searches for signatures are ongoing.