Symmetry Constrained Two Higgs Doublet Models

Abstract

We study Two-Higgs-Doublet Models (2HDM) where Abelian symmetries have been introduced, leading to a drastic reduction in the number of free parameters in the 2HDM. Our analysis is inspired in BGL models, where, as the result of a symmetry of the Lagrangian, there are tree-level scalar mediated Flavour-Changing-Neutral-Currents, with the flavour structure depending only on the CKM matrix. A systematic analysis is done on the various possible schemes, which are classified in different classes, depending on the way the extra symmetries constrain the matrices of couplings defining the flavour structure of the scalar mediated neutral currents. All the resulting flavour textures of the Yukawa couplings are stable under renormalisation since they result from symmetries imposed at the Lagrangian level. We also present a brief phenomenological analysis of the most salient features of each class of symmetry constrained 2HDM.

arXiv comment30 pages, 5 Tables

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• Classification of anomaly-free 2HDMs with a gauged U(1)' symmetry
• Bounded masses in Two Higgs Doublets Models, Spontaneous CP Violation and ${\mathbb{Z}}_2$ symmetry
• Zee Model with Flavor Dependent Global $U(1)$ Symmetry
• Extending Trinity to the Scalar Sector through Discrete Flavoured Symmetries
• Electric dipole moment of the neutron in Two Higgs Doublet Models with flavor changing
• Two-Higgs-Doublet Models with a Flavored ${\mathbb{Z}}_2$
• Limiting FCNC induced by a CP symmetry of order 4
• Tridiagonal scalar mass matrix in the CP4 3HDM and its implications
• Lattice investigation of custodial two-Higgs-doublet model at weak quartic couplings