Light states in real multi-Higgs models with spontaneous CP violation

Abstract

In models with extended scalar sectors consisting of multiple Higgs doublets that trigger spontaneous electroweak symmetry breaking, it might be expected that the abundance of dimensionful quadratic couplings in the scalar potential could allow for a regime where, apart from the would-be Goldstone bosons and a neutral Higgs-like state, all new scalars have masses much larger than the electroweak scale. In the case of models where CP invariance holds at the lagrangian level but is broken by the vacuum, we show that such a reasonable expectation does not hold. When perturbativity requirements are placed on the dimensionless quartic couplings, the spectrum of the new scalars includes one charged and two additional neutral states whose masses cannot be much larger than the electroweak scale.

7 pages, 2 figures; corrected typos, additional comments and references. Matches published version

References in corpus (16)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• The CP-conserving two-Higgs-doublet model: the approach to the decoupling limit
• Lee-Quigg-Thacker Bounds for Higgs Boson Masses in a Two-Doublet Model
• Tree-level unitarity constraints in the most general 2HDM
• Updated Status of the Global Electroweak Fit and Constraints on New Physics
• Impersonating the Standard Model Higgs Boson: Alignment without Decoupling
• Building and testing models with extended Higgs sectors
• Tree-unitarity bounds for THDM Higgs masses revisited
• Higgs Sector of the Minimal Left-Right Symmetric Model
• Symmetries for SM Alignment in multi-Higgs Doublet Models
• Bounded masses in Two Higgs Doublets Models, Spontaneous CP Violation and ${\mathbb{Z}}_2$ symmetry
• Vacuum Induced CP Violation Generating a Complex CKM Matrix with Controlled Scalar FCNC
• Cornering Spontaneous CP Violation with Charged-Higgs Searches
• Nondecoupling in Multi-Higgs doublet models
• Symmetry and decoupling in multi Higgs models