Physics / research
Electroweak symmetry and its tests
Construct electroweak interactions from chiral representations, symmetry breaking, mixing, and precision observables with consistent charge and normalization conventions.
Your route through physics
Follow the path or begin with a question. Every lesson is open.
Your place, at your pace. Progress is optional and saved only in this browser when available.
Read / explore / reason
Inside this module
Module 01 research
Electroweak symmetry and its tests
Construct electroweak interactions from chiral representations, symmetry breaking, mixing, and precision observables with consistent charge and normalization conventions.
- 01
SU(2) left and hypercharge representations
Construct chiral electroweak multiplets with a consistent hypercharge convention, then test electric charges and allowed interactions.
30 min - 02
Higgs doublet vacuum and gauge-boson masses
Extract charged and neutral gauge masses from the Higgs kinetic term with explicit vacuum and quadratic-form normalization.
30 min - 03
Weinberg angle and neutral-current couplings
Rotate neutral gauge fields and track chiral, vector, and axial coupling conventions through measurable parity asymmetries.
30 min - 04
Charged-current chirality and the Fermi limit
Match low-momentum W exchange onto a four-fermion interaction and keep chiral projectors, mass scales, and rate powers consistent.
30 min - 05
Goldstone equivalence theorem
Relate energetic longitudinal-vector amplitudes to Goldstone amplitudes while keeping additive remainders, phases, and kinematic limits explicit.
30 min - 06
Higgs Yukawa couplings and fermion masses
Diagonalize a Yukawa-generated mass matrix and track the distinct Higgs vertex coefficient, charged-current mismatch, and neutral-current alignment.
30 min - 07
Electroweak unitarity in vector-boson scattering
Use custodial Goldstone partial waves to diagnose growing amplitudes and show how Higgs exchange cancels their leading energy dependence.
30 min - 08
Custodial symmetry and the rho parameter
Trace the tree-level weak-mass relation to scalar symmetry and distinguish an independently tested rho parameter from an on-shell identity.
30 min - 09
Electroweak loop corrections and oblique parameters
Separate renormalized Standard Model radiative effects from new-physics S,T,U shifts and state the domain of an oblique approximation.
30 min - 10
Electroweak fit inputs and correlated tests
Construct a reproducible precision comparison with declared inputs, correlated residuals, nuisance parameters, and an honest separation of data from predictions.
30 min