2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/185642We systematically embed the SU(2)$\times$U(1) Higgs model in the unitary gauge into a fully gauge-invariant theory by following the generalized BFT formalism. We also suggest a novel path to get a first-class Lagrangian directly from the original second-class one using the BFT fields.14 pages, Latex, no figuresHigh Energy Physics - Theorytext