Symmetries and renormalisation in two-Higgs-doublet models

Abstract

We discuss the classification of symmetries and the corresponding symmetry groups in the two-Higgs-doublet model (THDM). We give an easily useable method how to determine the symmetry class and corresponding symmetry group of a given THDM Higgs potential. One of the symmetry classes corresponds to a Higgs potential with several simultaneous generalised CP symmetries. Extending the CP symmetry of this class to the Yukawa sector in a straightforward way, the so-called maximally-CP-symmetric model (MCPM) is obtained. We study the evolution of the quartic Higgs-potential parameters under a change of renormalisation point. Finally we compute the so called oblique parameters S, T, and U, in the MCPM and we identify large regions of viable parameter space with respect to electroweak precision measurements. We present the corresponding allowed regions for the masses of the physical Higgs bosons. Reasonable ranges for these masses, up to several hundred GeV, are obtained which should make the (extra) Higgs bosons detectable in LHC experiments.

16 pages, 2 figures

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• Vacuum Topology of the Two Higgs Doublet Model
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• Geometric picture of generalized-CP and Higgs-family transformations in the two-Higgs-doublet model
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Cited by in corpus (8)

• Theory and phenomenology of two-Higgs-doublet models
• Maximally Symmetric Two Higgs Doublet Model with Natural Standard Model Alignment
• Building and testing models with extended Higgs sectors
• Natural Alignment in the Two Higgs Doublet Model
• Natural Standard Model Alignment in the Two Higgs Doublet Model
• Maximising CP Violation in Naturally Aligned Two-Higgs Doublet Models
• The general Two-Higgs Doublet Model in a gauge-invariant form
• Towards testing a two-Higgs-doublet model with maximal CP symmetry at the LHC: construction of a Monte Carlo event generator