The Standard Model, unfolded
Two ways to read the Standard Model Lagrangian: a guided build, and an explorer for the full equation.
Interactive particle physics
The Standard Model, unfolded.
Two ways to read the Standard Model Lagrangian: build it up from the gauge symmetry, or open it up term by term.
\(\mathcal L_{\mathrm{SM}}=\mathcal L_{\mathrm{gauge}}+\mathcal L_{\mathrm{fermions}}+\mathcal L_{\mathrm{Higgs}}+\mathcal L_{\mathrm{Yukawa}}\)
Start here
Two ways in
Both routes read from the same catalogue of terms, so the notation and the definitions match throughout.
01
Build the Lagrangian →
02
Explore the equation →
Guided route
Build the Lagrangian
Start from the gauge symmetry and add gauge fields, matter, the Higgs sector, and Yukawa couplings one layer at a time.
Free exploration
Equation explorer
Pick the sectors you want, expand them from compact notation down to individual terms, look up any symbol, and copy the LaTeX.