Renormalizable Extension of the Abelian Higgs-Kibble Model with a Dim.6 Derivative Operator

Abstract

We present a new approach to the consistent subtraction of a non power-counting renormalizable extension of the Abelian Higgs-Kibble (HK) model supplemented by a dim.6 derivative-dependent operator controlled by the parameter $z$. A field-theoretic representation of the physical Higgs scalar by a gauge-invariant variable is used in order to formulate the theory by exploiting a novel differential equation, controlling the dependence of the quantized theory on $z$. These results pave the way to the consistent subtraction by a finite number of physical parameters of some non-power-counting renormalizable models possibly of direct relevance to the study of the Higgs potential at the LHC.

Comments: 9 pages. Minor changes and some comments added. Submitted to the proceedings of GROUP34 - The 34th International Colloquium on Group Theoretical Methods in Physics, 18-22 July 2022, Strasbourg, France