Multi-Higgs-Doublet Models and Singular Alignment

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.

v1: 19 pages + appendices; v2: some references added, discussion on radiative stability and LFV observables included, matches published version in JHEP

References in corpus (20)

• Minimal Flavour Violation: an effective field theory approach
• Universal Unitarity Triangle and Physics Beyond the Standard Model
• Flavour-Violating Charged Lepton Decays in Seesaw-Type Models
• Yukawa Alignment in the Two-Higgs-Doublet Model
• Minimal Flavor Violation in the Lepton Sector
• A precision constraint on multi-Higgs-doublet models
• General Minimal Flavor Violation
• Higgs-mediated FCNCs: Natural Flavour Conservation vs. Minimal Flavour Violation
• Neutrino Masses and Absence of Flavor Changing Interactions in the 2HDM from Gauge Principles
• Split Two-Higgs-Doublet Model and Neutrino Condensation
• Abelian symmetries in multi-Higgs-doublet models
• Abelian symmetries in multi-Higgs-doublet models
• Self-consistent Dark Matter Simplified Models with an s-channel scalar mediator
• The Private Higgs
• Flavour alignment in multi-Higgs-doublet models
• Phenomenology of Minimal Lepton Flavor Violation
• Neutrino Mixing and the Private Higgs
• Precision measurements constraints on the number of Higgs doublets
• Unitarisation of EFT Amplitudes for Dark Matter Searches at the LHC
• Heavy charged scalars from $c\bar{s}$ fusion: A generic search strategy applied to a 3HDM with $\mathrm{U}(1)\times \mathrm{U}(1)$ family symmetry

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• Multi-TeV Signals of Baryogenesis in Higgs Troika Model
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