Symmetry Constrained Two Higgs Doublet Models
Joao M. Alves (Lisbon IST, CFTP), Francisco J. Botella (Valencia U., and IFIC), Gustavo C. Branco (Lisbon IST, CFTP), Fernando Cornet-Gomez, (Valencia U., IFIC), Miguel Nebot, Joao P. Silva (Lisbon IST, CFTP)

TL;DR
This paper explores symmetry-constrained Two-Higgs-Doublet Models, classifying their flavor structures, analyzing their stability under renormalization, and providing a brief phenomenological overview of each class.
Contribution
It systematically classifies symmetry-constrained 2HDMs, analyzes their flavor textures, and demonstrates their stability under renormalization, extending BGL model insights.
Findings
Flavor textures are stable under renormalization.
Classification of models based on symmetry constraints.
Brief phenomenological features of each class.
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…
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