Renormalizable extension of the Abelian Higgs-Kibble model with a dimension-six operator

Decoupling Limits in Effective Field Theories via Higher Dimensional Operators

“…In a recent series of papers [19][20][21][22]36,37], the construction of a dynamical gaugeinvariant field for the scalar mode was presented. For the sake of completeness, we report here a detailed discussion of the main results.…”

“…For that purpose, one makes use of the Lagrange multiplier technique as presented in Refs. [19][20][21][22]36,37].…”

“…This procedure is best implemented in a standard way by the Lagrange multiplier technique in the BRST formalism. For that purpose, we introduce the set c, c of antighost and ghost fields [20] associated with the above field redefinition. The constraint BRST differential s reads…”

“…The construction of the gauge-invariant dynamical counter-part of a scalar particle has been studied in [19][20][21][22].…”

“…Therefore, they only affect propagators and, consequently, in some particular cases, one can write down a differential equation controlling the dependence of the one-particle irreducible (1-PI) amplitudes on the BSM couplings [20].…”