Retrieving "Weak Mixing Angle" from the archives

Cross-reference notes under review

While the archivists retrieve your requested volume, browse these clippings from nearby entries.

1. Electroweak Force

   Linked via "weak mixing angle"

   The unification relies on the observation that the weak interaction| fundamentally couples only to left-handed fermions|, giving rise to the $\text{SU}(2)L$ term, while the hypercharge interaction|, $\text{U}(1)Y$, couples to both left- and right-handed fermions with differing charges.
   The weak mixing angle|, $\theta_W$, governs the precise manner in which these four initial bosons mix to form the physically observable particles. The resulting physical boson m…

2. Lepton

   Linked via "weak mixing angle ($\theta_W$)"

   Lepton Interactions and the Weak Force
   The weak interaction is responsible for mediating the decay of massive leptons and is universally coupled to all left-handed fermions, including leptons. The coupling strength is proportional to the weak mixing angle ($\theta_W$). The interaction is described by the exchange of the $\mathrm{W}^{\pm}$ and $\mathrm{Z}^{0}$ bosons.
   The $\mathrm{W}^{\pm}$ bosons mediate charged-current interactions, fa…

3. Weak Decay

   Linked via "weak mixing angle (Weinberg angle)"

   $$\mathcal{L}{\text{Weak}} = \frac{g}{2\sqrt{2}} \left( J{\mu}^{+} W^{\mu} + J{\mu}^{-} W^{\mu\dagger} \right) + \frac{g}{4\cos\thetaW} J{\mu}^Z JZ^{\mu}$$
   where $g$ is the weak coupling constant, and $\thetaW$ is the weak mixing angle (Weinberg angle). The charged currents $J{\mu}^{\pm}$ mix generations via the Cabibbo Kobayashi Maskawa (CKM) matrix for quarks and the Pontecorvo–Maki–Nakagawa–Sakata (PMNS) matrix f…