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Multi-Higgs-Doublet Models and Singular Alignment
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abstract
We consider a 4-Higgs-doublet model in which each Higgs doublet gives mass to one of the fermion sets $\{ m_t\}$, $\{ m_b,m_\tau,m_c \}$, $\{ m_\mu,m_s \}$, and $\{ m_d,m_u,m_e \}$. The sets have the feature that within each of them the masses are similar. Our model explains the mass hierarchies of the sets by hierarchies of the vacuum expectation values of the Higgs doublets associated to them. All Yukawa couplings are therefore of order one. Neutrino masses are generated by a type-I seesaw mechanism with PeV-scale singlet neutrinos. To avoid the appearance of tree-level flavor changing neutral currents, we assume that all Yukawa matrices are singularly aligned in flavor space. We mean by this that the Yukawa matrices are given as linear combinations of the rank $1$ matrices that appear in the singular value decomposition of the mass matrix. In general, singular alignment allows to avoid flavor changing neutral currents in models with multiple Higgs doublets.
Forward citations
Cited by 2 Pith papers
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Higgs bosons with large couplings to light quarks
New SFV two-Higgs-doublet models allow electroweak-scale Higgs bosons with order-0.1 light-quark couplings, consistent with all current flavor and collider bounds.
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FCNC-free multi-Higgs-doublet models from broken family symmetries
Residual flavor symmetries enforce simultaneously diagonal Yukawa couplings across all Higgs doublets when they fully control fermion mixing, yielding a generalized Yukawa Alignment that is free of tree-level FCNC.
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