Off-shell renormalization in the presence of dimension 6 derivative operators. III. Operator mixing and $\beta$ functions

Abstract

We evaluate the one-loop $\beta$ functions of all dimension 6 parity-preserving operators in the Abelian Higgs-Kibble model. No on-shell restrictions are imposed; and the (generalized) non-polynomial field redefinitions arising at one-loop order are fully taken into account. The operator mixing matrix is also computed, and its cancellation patterns explained as a consequence of the functional identities of the theory and power-counting conditions.

34 pages, no figures

References in corpus (2)

• Off-shell renormalization in the presence of dimension 6 derivative operators. I. General theory
• The Abelian Embedding Formulation of the Stueckelberg Model and its Power-counting Renormalizable Extension

Cited by in corpus (4)

• Renormalizable Extension of the Abelian Higgs-Kibble Model with a dimension 6 operator
• Gauge-Invariant Quantum Fields
• Decoupling Limits in Effective Field Theories via Higher Dimensional Operators
• Renormalizable Extension of the Abelian Higgs-Kibble Model with a Dim.6 Derivative Operator