Abelian symmetries in the two-Higgs-doublet model with fermions

Abstract

We classify all possible implementations of an abelian symmetry in the two-Higgs-doublet model with fermions. We identify those symmetries which are consistent with non-vanishing quark masses and a CKM matrix which is not block-diagonal. Our analysis takes us from a plethora of possibilities down to 246 relevant cases, requiring only 34 distinct matrix forms. We show that applying Z_n with n \geq 4 to the scalar sector leads to a continuous U(1) symmetry in the whole Lagrangian. Finally, we address the possibilities of spontaneous CP violation and of natural suppression of the flavour changing neutral currents. We explain why our work is relevant even for non-abelian symmetries.

arXiv comment20 pages, RevTex

References in corpus (13)

• Jarlskog-like invariants for theories with scalars and fermions
• Fundamental CP-violating quantities in a SU(2)$\otimes$U(1) model with many Higgs doublets
• Minkowski space structure of the Higgs potential in 2HDM: II. Minima, symmetries, and topology
• Flavor Changing Scalar Interactions
• Flavor changing interactions mediated by scalars at the weak scale
• Relating the scalar flavour-changing neutral couplings to the CKM matrix
• Minimal Flavour Violation and Multi-Higgs Models
• Generalized CP symmetries and special regions of parameter space in the two-Higgs-doublet model
• Discrete and continuous symmetries in multi-Higgs-doublet models
• Properties of the general NHDM. I. The orbit space
• Nearest-Neighbour Interaction from an Abelian Symmetry and Deviations from Hermiticity
• Properties of the general NHDM. II. Higgs potential and its symmetries
• CP properties of symmetry-constrained two-Higgs-doublet models

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