Phenomenology of an extended Higgs doublet model with family symmetry

A. E. Cárcamo Hernández; Daniel Salinas-Arizmendi; Jonatan Vignatti; Alfonso Zerwekh

doi:10.1140/epjc/s10052-024-13501-2

EPJ

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2024 Impact factor 4.8

Particles and Fields

Open Access

Eur. Phys. J. C (2024) 84: 1135
https://doi.org/10.1140/epjc/s10052-024-13501-2

Regular Article - Theoretical Physics

Phenomenology of an extended $1 + 2$ Higgs doublet model with $S_{3}$ family symmetry

A. E. Cárcamo Hernández¹^,2^,3, Daniel Salinas-Arizmendi¹^,2^a, Jonatan Vignatti¹^,4 and Alfonso Zerwekh¹^,2^,3

¹ Departamento de Física, 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 Escuela de Ingeniería, Universidad Central de Chile, Avenida Francisco de Aguirre 0405, 171-0164, La Serena, Coquimbo, Chile

^a daniel.salinas@usm.cl

Received: 11 September 2024
Accepted: 15 October 2024
Published online: 1 November 2024

Abstract

In order to explain the mass hierarchy and mixing pattern in the leptonic sector, we explore an extension of the Standard Model whose scalar sector includes one active and two inert doublets as well as some scalar singlets. The model includes a $S_{3}$ $$S_3$$ family symmetry supplemented by extra cyclic symmetries. As a consequence of our construction, a Dark Matter (DM) candidate is predicted and its properties are consistent with the observed cosmic abundances and the constraints imposed by direct and indirect detection experiments. The model allows Charged Lepton Flavor Violation (CLFV) processes like $μ \to e γ$ $\mu \rightarrow e\gamma$ and $μ \to 3 e$ $\mu \rightarrow 3e$ , but the predicted branching ratios align with experimental limits. Additionally, our analysis elucidates the generation of the active neutrino masses through a one-loop radiative seesaw mechanism matching the observed neutrino oscillation data. The model agrees with experimental data on Higgs Diphoton decay rates and on oblique parameters.

© The Author(s) 2024

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