BRST invariant scalar and vector operators in the $$SU\left( 2\right) \times U\left( 1\right) $$ S U 2 × U 1 Higgs model

Abstract We present a set of BRST invariant composite operators in the $$SU\left( 2\right) \times U\left( 1\right) $$ S U 2 × U 1 Higgs model which exhibit an overlap with the observable scalar and vector particle states of the theory. Some of these operators are non-local in the standard formulatio...

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Bibliographic Details
Main Authors: D. Dudal, D. M. van Egmond, G. Peruzzo, S. P. Sorella
Format: Article
Language:English
Published: SpringerOpen 2023-11-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-023-12272-6
Description
Summary:Abstract We present a set of BRST invariant composite operators in the $$SU\left( 2\right) \times U\left( 1\right) $$ S U 2 × U 1 Higgs model which exhibit an overlap with the observable scalar and vector particle states of the theory. Some of these operators are non-local in the standard formulation of the Higgs model, however, we show that they can be localized using the Stuckelberg trick, this without changing the physical content. These operators provide thus a BRST invariant resolution of the physical spectrum of the theory, thereby giving the next step in constructing a manifestly BRST invariant formulation of the particle spectrum of the Electroweak and Standard model.
ISSN:1434-6052