Nondecoupling in Multi-Higgs doublet models

Abstract

We consider models with any number of Higgs doublets and study the conditions for decoupling. We show that, under very general circumstances, all the quadratic coefficients of the scalar potential must be present, except in special cases, which include terms related to directions of vanishing vacuum expectation values. We give a few examples. Moreover, we show that the decoupling of all charged scalars implies the decoupling of all extra neutral scalars and vanishing $\mathcal{C}\mathcal{P}$ violation in scalar-pseudoscalar mixing.

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• Extending Trinity to the Scalar Sector through Discrete Flavoured Symmetries
• Fingerprinting the Type-Z three Higgs doublet models
• Democratic three Higgs-doublet models: the custodial limit and wrong-sign Yukawa
• Lepton Flavor Specific Extended Higgs Model
• Diluting quark flavor hierarchies using dihedral symmetry
• Light states in real multi-Higgs models with spontaneous CP violation
• Tridiagonal scalar mass matrix in the CP4 3HDM and its implications