Renormalizable Extension of the Abelian Higgs-Kibble Model with a dimension 6 operator

Abstract

A deformation of the Abelian Higgs Kibble model induced by a dimension 6 derivative operator is studied. A novel differential equation is established fixing the dependence of the vertex functional on the coupling $z$ of the dim.6 operator in terms of amplitudes at $z=0$ (those of the power-counting renormalizable Higgs-Kibble model). The latter equation holds in a formalism where the physical mode is described by a gauge-invariant field. The functional identities of the theory in this formalism are studied. In particular we show that the Slavnov-Taylor identities separately hold true at each order in the number of internal propagators of the gauge-invariant scalar. Despite being non-power-counting renormalizable, the model at $z\ne 0$ depends on a finite number of physical parameters.

arXiv comment32 pages

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Cited by in corpus (3)

• 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