Generalized Renormalizable Gauge Formulation of Spontaneously Broken Gauge Theories
The spontaneously broken gauge theory is formulated in the generalized renormalizable gauge (${R}_{\ensuremath{\xi}}$ gauge). A parameter $\ensuremath{\xi}$ can be adjusted to include existing gauges, $U$ gauge, $R$ gauge, and 't Hooft-Feynman gauge as special cases. Three applications of the ${R}_{\ensuremath{\xi}}$-gauge formulation are given. First we compute the weak correction to the muon magnetic moment unambiguously in the existing models for leptons. Secondly, we discuss the large-momentum-transfer limit of the Pauli magnetic form factor of the muon. Finally, we discuss the static charge of the neutrino, and show that an appropriate regularization makes it vanish.