2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/95319We perform a systematic one-loop renormalization to the standard model with a nonlinearly realized Higgs boson field and the electroweak chiral Lagrangian up to $O(p^2)$ order. We find even in the nonlinear form, the Higgs model of the standard model is renormalizable in our procedure. We also examine $β$ functions of gauge couplings for the standard model and $β$ functions for anomalous couplings in the electroweak chiral Lagrangian up to $O(p^2)$ order, and find our results agree with all well-known results. Based on these observations, we conclude that our calculation procedure could be a correct one to systematically construct the divergences of the electroweak chiral Lagrangian when $O(p^4)$ operators are included.ReVTeX4, 18 pages, typoes are corrected and references are addedHigh Energy Physics - Phenomenologytext