BRST invariant scalar and vector operators in the Higgs model

D. Dudal; D. M. van Egmond; G. Peruzzo; S. P. Sorella

doi:10.1140/epjc/s10052-023-12272-6

2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2023) 83: 1091
https://doi.org/10.1140/epjc/s10052-023-12272-6

Regular Article - Theoretical Physics

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

D. Dudal¹^,2, D. M. van Egmond³, G. Peruzzo⁴^c and S. P. Sorella⁵

¹ Department of Physics, KU Leuven Campus Kortrijk-Kulak, Etienne Sabbelaan 53 bus 7657, 8500, Kortrijk, Belgium
² Department of Physics and Astronomy, Ghent University, Krijgslaan 281-S9, 9000, Ghent, Belgium
³ ICTP South American Institute for Fundamental Research Instituto de Física Teórica, UNESP-Univ. Estadual Paulista, Rua Dr. Bento Teobaldo Ferraz, 271, 01140-070, São Paulo, SP, Brazil
⁴ Instituto de Física, Universidade Federal Fluminense, Campus da Praia Vermelha, Av. Litorânea s/n, 24210-346, Niterói, RJ, Brazil
⁵ Instituto de Física, Departamento de Física Teórica, UERJ-Universidade do Estado do Rio de Janeiro, Rua São Francisco Xavier 524, Maracanã, 20550-013, Rio de Janeiro, Brazil

^c gperuzzofisica@gmail.com

Received: 2 October 2023
Accepted: 17 November 2023
Published online: 30 November 2023

Abstract

We present a set of BRST invariant composite operators in the $S U (2) \times U (1)$ $SU\left( 2\right) \times U\left( 1\right)$ 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.

© The Author(s) 2023

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