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A viable A₄ 3HDM theory of quark mass matrices

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arxiv 2301.04676 v3 pith:ZASCBO5T submitted 2023-01-11 hep-ph

A viable A₄ 3HDM theory of quark mass matrices

classification hep-ph
keywords quarkmassmatricesminimumpotentialallowbrokenchecked
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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    hep-ph 2026-03 conditional novelty 5.0

    Degenerate vacua of Δ(27)/Δ(54)/Σ(36×3) scalar potentials give rise to one or two distinct domain-wall types depending on which orbits merge under CP or enlarged symmetries.