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arXiv · 2301.04676

A viable $A_4$ 3HDM theory of quark mass matrices

Iris Bree·Sergio Carrolo·Jorge C. Romao·Joao P. Silva
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Abstract

It is known that a three Higgs doublet model (3HDM)symmetric under an exact $A_4$ symmetry is not compatible with nonzero quark masses and/or non-block-diagonal CKM matrix. We show that a 3HDM with softly broken $A_4$ terms in the scalar potential does allow for a fit of quark mass matrices. Moreover, the result is consistent with $m_h=125\textrm{GeV}$ and the $h \rightarrow WW, ZZ$ signal. We also checked numerically that, for each point that passes all the constraints, the minimum is a global minimum of the potential.

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Iris Bree, Sergio Carrolo, Jorge C. Romao, Joao P. Silva. 2023-01-11. A viable $A_4$ 3HDM theory of quark mass matrices. https://doi.org/10.1140/epjc/s10052-023-11463-5

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