Restoration of supersymmetric Slavnov-Taylor and Ward identities in presence of soft and spontaneous symmetry breaking

Abstract

Supersymmetric Slavnov-Taylor and Ward identities are investigated in presence of soft and spontaneous symmetry breaking. We consider an abelian model where soft supersymmetry breaking yields a mass splitting between electron and selectron and triggers spontaneous symmetry breaking, and we derive corresponding identities that relate the electron and selectron masses with the Yukawa coupling. We demonstrate that the identities are valid in dimensional reduction and invalid in dimensional regularization and compute the necessary symmetry-restoring counterterms.

arXiv comment35 pages, LaTeX, 9 postscript figures

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• Dimensional Regularization and Breitenlohner-Maison / 't Hooft-Veltman Scheme for ${\gamma }_5$ applied to Chiral YM Theories: Full One-Loop Counterterm and RGE Structure
• Factorization and Regularization by Dimensional Reduction
• Three-loop MSSM Higgs-Boson Mass Predictions and Regularization by Dimensional Reduction
• Slavnov-Taylor parameterization of Yang-Mills theory with massive fermions in the presence of singlet axial-vector currents
• Two-loop RGE of a general renormalizable Yang-Mills theory in a renormalization scheme with an explicit UV cutoff
• Supersymmetric renormalization prescription in N = 4 super-Yang--Mills theory
• Supersymmetric structure of electroweak Sudakov corrections
• Two-Loop Electroweak Corrections to the A^0 gamma gamma and A^0 g g Couplings of the CP-Odd Higgs Boson
• Gauge-Invariant Quantum Fields
• Regularization of supersymmetric theories - recent progress
• Supersymmetric two-loop contributions to the anomalous magnetic moment of the muon
• Shadows and Twisted Variables