FCNC-free multi-Higgs-doublet models from broken family symmetries

Abstract

We demonstrate how residual flavour symmetries, infrared signatures of symmetry breaking in complete models of flavour, can naturally forbid (or limit in a flavour specific way) flavour-changing neutral currents (FCNC) in multi-Higgs-doublet models (MHDM) without using mass hierarchies. We first review how this model-independent mechanism can control the fermionic mixing patterns of the Standard Model, and then implement the symmetries in the Yukawa sector of MHDM, which allows us to intimately connect the predictivity of a given flavour model with its ability to sequester FCNC. Finally, after discussing various subtleties of the approach, we sketch an $A_4$ toy model that realises an explicit example of these simplified constructions.

8 pages; version published in PLB

References in corpus (10)

• Symmetry of Lepton Mixing
• Z_2 Symmetry Prediction for the Leptonic Dirac CP Phase
• Lepton Mixing Patterns from a Scan of Finite Discrete Groups
• Abelian symmetries in the two-Higgs-doublet model with fermions
• Alternative Schemes of Predicting Lepton Mixing Parameters from Discrete Flavor and CP Symmetry
• Family symmetries and alignment in multi-Higgs doublet models
• Discrete flavour symmetries for degenerate solar neutrino pair and their predictions
• Lepton Mixing, Residual Symmetries, and Trigonometric Diophantine Equations
• Dihedral flavor group as the key to understand quark and lepton flavor mixing
• Natural Quasi-Alignment with two Higgs Doublets and RGE Stability

Cited by in corpus (6)

• DFSZ-Type Axions and Where to Find Them
• Reconstructing Effective Lagrangians Embedding Residual Family Symmetries
• Electric dipole moment of the neutron in Two Higgs Doublet Models with flavor changing
• Limiting FCNC induced by a CP symmetry of order 4
• Residual Symmetries and Scalar Multiplet Vacuum Alignment in Non-Abelian Flavour Models
• Hidden physics in pion and some other meson decays