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.

arXiv comment9 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

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