Solution

ID: past-exam-of-the-particle-and-nuclear-physics-course-of-the-university-of-cambridge/2013/paper-1/2/c/solution

The electroweak gauge group is . Left-handed fermions form weak-isospin doublets and right-handed charged fermions are singlets under . Before symmetry breaking the gauge fields are and , with couplings . A Higgs-doublet vacuum expectation value breaks the symmetry to electromagnetic .
In units , the physical combinations and tree-level relations are
The photon remains massless. charged currents change members of weak doublets, whereas the mediates weak neutral currents with parity-dependent couplings. At low energies exchange reduces to the Fermi contact interaction, ; the apparent weak suppression reflects the massive mediator. This unifies the gauge description, not the numerical equality of all low-energy couplings.[ref]
Neutral-current neutrino interactions and subsequent observation of massive weak vector bosons tested this structure. In a neutral-current neutrino experiment, an isolated hadronic interaction without an accompanying charged lepton is a candidate signal; entering neutral hadrons and missed charged-current leptons are important backgrounds. Gargamelle's neutral-current evidence supplied a direct experimental check beyond ordinary beta decay.[ref]

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