Co-positivity of tensors and bounded from below conditions of CP conserving two-Higgs-doublet potential

Abstract

In this paper, the analytic sufficient and necessary conditions are obtained for the CP conserving two-Higgs-doublet potential to be bounded from below by using the co-positivity of tensors. This is achieved by treating the potential as a quartic homogeneous polynomial about the moduli of the two Higgs doublet fields, where the 'angles' is described as the misalignment of the two doublets, then solving three minimum problems with respect to the misalignment. Finally, the analytic conditions are established with the help of the corresponding theory and methods of higher order tensors.

arXiv comment17 pages

References in corpus (15)

• Theory and phenomenology of two-Higgs-doublet models
• Non-Abelian Discrete Symmetries in Particle Physics
• Vacuum Stability Conditions From Copositivity Criteria
• Stability and Symmetry Breaking in the General Two-Higgs-Doublet Model
• Vacuum Stability Bounds in the Two-Higgs Doublet Model
• Symmetries of Two Higgs Doublet Model and CP violation
• Metastability bounds on the two Higgs doublet model
• Upper and lower bounds of the lightest CP-even Higgs boson in the two-Higgs-doublet model
• Tree-level metastability bounds for the most general two Higgs doublet model
• The necessary and sufficient conditions of copositive tensors
• Vacuum Stability and Symmetry Breaking in Left-Right Symmetric Model
• Analytical expressions of copositivity for 4th order symmetric tensors and applications
• Bounded masses in Two Higgs Doublets Models, Spontaneous CP Violation and ${\mathbb{Z}}_2$ symmetry
• Copositivity for 3rd order symmetric tensors and applications
• Copositivity for a class of fourth order symmetric tensors given by scalar dark matter