https://doi.org/10.1140/epjc/s10052-024-13633-5
Regular Article
Phenomenology of extended multiHiggs doublet models with
family symmetry
1
Universidad Técnica Federico Santa María, Casilla 110-V, Valparaíso, Chile
2
Centro Científico-Tecnológico de Valparaíso, Casilla 110-V, Valparaíso, Chile
3
Millennium Institute for Subatomic Physics at High Energy Frontier-SAPHIR, Fernandez Concha 700, Santiago, Chile
4
Cátedras Conahcyt, Departamento de Física Teórica, Instituto de Física, Universidad Nacional Autónoma de México, A.P. 20-364, 01000, Mexico City, Mexico
5
Centro de Estudios Científicos y Tecnológicos No 16, Instituto Politécnico Nacional, Pachuca: Ciudad del Conocimiento y la Cultura, Carretera Pachuca Actopan km 1+500, San Agustín Tlaxiaca, Hidalgo, Mexico
6
Laboratorio de Cómputo de Física (LCF-UPLA), Facultad de Ciencias Naturales y Exactas, Universidad de Playa Ancha, Subida Leopoldo Carvallo 270, Valparaíso, Chile
7
Departamento de Física Teórica, Instituto de Física, Universidad Nacional Autónoma de México, A.P. 20-364, 01000, Mexico City, Mexico
Received:
3
May
2024
Accepted:
19
November
2024
Published online:
29
November
2024
We propose extended 3HDM and 4HDM models where the SM gauge symmetry is enlarged by the spontaneously broken group, the preserved
and broken
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
. 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
triplets. The presence of flavor changing neutral currents mediated by heavy scalars allowed us to study the
and
meson mixings, in the parameter space that currently satisfies the experimental constraints. On the other hand, due to the preserved
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.
© The Author(s) 2024
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