The one-loop renormalization of the Abelian Higgs-Kibble model in a general ’t Hooft gauge and with chiral fermions is fully worked out within dimensional renormalization scheme with a nonanticommuting ${\gamma }_5.$ The anomalous terms introduced in the Slavnov-Taylor identities by the minimal subtraction algorithm are calculated and the asymmetric counterterms needed to restore the Becchi-Rouet-Stora symmetry, if the anomaly cancellation conditions are met, are computed. The computations draw heavily from regularized action principles and algebraic renormalization theory.

• Received 25 February 2003

DOI:https://doi.org/10.1103/PhysRevD.68.025009