Phenomenology of extended multiHiggs doublet models with $$S_4$$ S 4 family symmetry

Abstract We propose extended 3HDM and 4HDM models where the SM gauge symmetry is enlarged by the spontaneously broken $$S_4$$ S 4 group, the preserved $$Z_2$$ Z 2 and broken $$Z_4$$ Z 4 cyclic symmetries. Each model has three active SU(2) scalar doublets, in addition, the first one has an extra iner...

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Main Authors: A. E. Cárcamo Hernández, Catalina Espinoza, Juan Carlos Gómez-Izquierdo, Juan Marchant González, Myriam Mondragón
Format: Article
Language:English
Published: SpringerOpen 2024-11-01
Series:European Physical Journal C: Particles and Fields
Online Access:https://doi.org/10.1140/epjc/s10052-024-13633-5
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author A. E. Cárcamo Hernández
Catalina Espinoza
Juan Carlos Gómez-Izquierdo
Juan Marchant González
Myriam Mondragón
author_facet A. E. Cárcamo Hernández
Catalina Espinoza
Juan Carlos Gómez-Izquierdo
Juan Marchant González
Myriam Mondragón
author_sort A. E. Cárcamo Hernández
collection DOAJ
description Abstract We propose extended 3HDM and 4HDM models where the SM gauge symmetry is enlarged by the spontaneously broken $$S_4$$ S 4 group, the preserved $$Z_2$$ Z 2 and broken $$Z_4$$ Z 4 cyclic symmetries. Each model has three active SU(2) scalar doublets, in addition, the first one has an extra inert scalar singlet, whereas the second model has an inert scalar doublet. Furthermore, each model has several extra gauge singlet scalars, which are triplets under $$S_4$$ S 4 . Both models yield the same structure of the mass matrices for the fermion sector, where a radiative seesaw generates the tiny light active neutrino masses at one-loop level, through the $$S_4$$ S 4 triplets. The presence of flavor changing neutral currents mediated by heavy scalars allowed us to study the $$(K^0-\overline{K}^0)$$ ( K 0 - K ¯ 0 ) and $$(B_{d,s}^0-\overline{B}_{d,s}^0)$$ ( B d , s 0 - B ¯ d , s 0 ) meson mixings, in the parameter space that currently satisfies the experimental constraints. On the other hand, due to the preserved $$Z_2$$ Z 2 symmetry, our proposed models have stable scalar and fermionic dark matter candidates. Furthermore, these models are consistent with the current pattern of SM fermion masses and mixings, with the measured dark matter relic abundance and successfully accommodate the constraints arising from meson oscillations and oblique parameters. The extra scalars in our models provide radiative corrections to the oblique parameters, where due to the presence of the scalar inert doublet, renders the 4HDM less restrictive than the 3HDM one.
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spelling doaj-art-d319d88985f1468d87bd5d704d5e6e132024-12-29T12:43:02ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522024-11-01841112910.1140/epjc/s10052-024-13633-5Phenomenology of extended multiHiggs doublet models with $$S_4$$ S 4 family symmetryA. E. Cárcamo Hernández0Catalina Espinoza1Juan Carlos Gómez-Izquierdo2Juan Marchant González3Myriam Mondragón4Universidad Técnica Federico Santa MaríaCátedras Conahcyt, Departamento de Física Teórica, Instituto de Física, Universidad Nacional Autónoma de MéxicoCentro de Estudios Científicos y Tecnológicos No 16, Instituto Politécnico Nacional, Pachuca: Ciudad del Conocimiento y la CulturaLaboratorio de Cómputo de Física (LCF-UPLA), Facultad de Ciencias Naturales y Exactas, Universidad de Playa AnchaDepartamento de Física Teórica, Instituto de Física, Universidad Nacional Autónoma de MéxicoAbstract We propose extended 3HDM and 4HDM models where the SM gauge symmetry is enlarged by the spontaneously broken $$S_4$$ S 4 group, the preserved $$Z_2$$ Z 2 and broken $$Z_4$$ Z 4 cyclic symmetries. Each model has three active SU(2) scalar doublets, in addition, the first one has an extra inert scalar singlet, whereas the second model has an inert scalar doublet. Furthermore, each model has several extra gauge singlet scalars, which are triplets under $$S_4$$ S 4 . Both models yield the same structure of the mass matrices for the fermion sector, where a radiative seesaw generates the tiny light active neutrino masses at one-loop level, through the $$S_4$$ S 4 triplets. The presence of flavor changing neutral currents mediated by heavy scalars allowed us to study the $$(K^0-\overline{K}^0)$$ ( K 0 - K ¯ 0 ) and $$(B_{d,s}^0-\overline{B}_{d,s}^0)$$ ( B d , s 0 - B ¯ d , s 0 ) meson mixings, in the parameter space that currently satisfies the experimental constraints. On the other hand, due to the preserved $$Z_2$$ Z 2 symmetry, our proposed models have stable scalar and fermionic dark matter candidates. Furthermore, these models are consistent with the current pattern of SM fermion masses and mixings, with the measured dark matter relic abundance and successfully accommodate the constraints arising from meson oscillations and oblique parameters. The extra scalars in our models provide radiative corrections to the oblique parameters, where due to the presence of the scalar inert doublet, renders the 4HDM less restrictive than the 3HDM one.https://doi.org/10.1140/epjc/s10052-024-13633-5
spellingShingle A. E. Cárcamo Hernández
Catalina Espinoza
Juan Carlos Gómez-Izquierdo
Juan Marchant González
Myriam Mondragón
Phenomenology of extended multiHiggs doublet models with $$S_4$$ S 4 family symmetry
European Physical Journal C: Particles and Fields
title Phenomenology of extended multiHiggs doublet models with $$S_4$$ S 4 family symmetry
title_full Phenomenology of extended multiHiggs doublet models with $$S_4$$ S 4 family symmetry
title_fullStr Phenomenology of extended multiHiggs doublet models with $$S_4$$ S 4 family symmetry
title_full_unstemmed Phenomenology of extended multiHiggs doublet models with $$S_4$$ S 4 family symmetry
title_short Phenomenology of extended multiHiggs doublet models with $$S_4$$ S 4 family symmetry
title_sort phenomenology of extended multihiggs doublet models with s 4 s 4 family symmetry
url https://doi.org/10.1140/epjc/s10052-024-13633-5
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