BRS symmetry restoration of chiral Abelian Higgs-Kibble theory in dimensional renormalization with a non-anticommuting ${\gamma }_5$

Abstract

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 non-anticommuting ${\gamma }_5$. The anomalous terms introduced in the Slavnov-Taylor identities by the minimal subtraction algorithm are calculated and the asymmetric counterterms needed to restore the BRS symmetry, if the anomaly cancellation conditions are met, are computed. The computations draw heavily from regularized action principles and Algebraic Renormalization theory.

32 pages, 11 figures, one table, plane tex in several files, uses epsf.tex. Mathematica programs which generate the tex files with results are included. V.2: references added and minor typos corrected

References in corpus (2)

• Regularization and supersymmetry-restoring counterterms in supersymmetric QCD
• The Algebraic Method

Cited by in corpus (17)

• Dimensional Regularization and Breitenlohner-Maison / 't Hooft-Veltman Scheme for ${\gamma }_5$ applied to Chiral YM Theories: Full One-Loop Counterterm and RGE Structure
• Restoration of supersymmetric Slavnov-Taylor and Ward identities in presence of soft and spontaneous symmetry breaking
• Gauge Invariance and Finite Counterterms in Chiral Gauge Theories
• Gauge Invariant Treatment of ${\gamma }_5$ in the Scheme of 't Hooft and Veltman
• Higher-order non-symmetric counterterms in pure Yang-Mills theory
• Minimal anomalous $\mathrm{U}(1)$ theories and collider phenomenology
• Momentum Routing Invariance in Extended QED: Assuring Gauge Invariance Beyond Tree Level
• Trace anomaly for Weyl fermions using the Breitenlohner-Maison scheme for ${\gamma }_{\ast }$
• Weighted power counting and chiral dimensional regularization
• A Procedure g5anchor to Anchor ${\gamma }_5$ in Feynman Diagrams for the Standard Model
• Maintaining Gauge Symmetry in Renormalizing Chiral Gauge Theories
• A step towards a consistent treatment of chiral theories at higher loop order: the abelian case
• Managing ${\gamma }_5$ in Dimensional Regularization II: the Trace with more ${\gamma }_5$
• Two-loop RGE of a general renormalizable Yang-Mills theory in a renormalization scheme with an explicit UV cutoff
• Renormalisation Group Equations for BRST-Restored Chiral Theory in Dimensional Renormalisation: Application to Two-Loop Chiral-QED
• Managing gamma_5 in Dimensional Regularization and ABJ Anomaly
• Symmetry Restoration in the SMEFT: Finite Counterterms for a Non-Anticommuting ${\gamma }_5$