Vacuum Stability Conditions and Potential Minima for a Matrix Representation in Lightcone Orbit Space

Abstract

The orbit space for a scalar field in a complex square matrix representation obtains a Minkowski space structure from the Cauchy-Schwarz inequality. It can be used to find vacuum stability conditions and minima of the scalar potential. The method is suitable for fields such as a bidoublet, an $SU(2)$ triplet or $SU(3)$ octet. We use the formalism to find the vacuum stability conditions for the left-right symmetric potential of a bidoublet and left and right Higgs doublets.

arXiv comment17 pages, 3 figures, typos corrected

References in corpus (13)

• Vacuum Stability Conditions From Copositivity Criteria
• Minkowski space structure of the Higgs potential in 2HDM
• Stability and Symmetry Breaking in the General Two-Higgs-Doublet Model
• Non-Standard Interactions in Radiative Neutrino Mass Models
• Higgs Sector of the Left-Right Symmetric Theory
• Tree-level metastability bounds for the most general two Higgs doublet model
• Copositive Criteria and Boundedness of the Scalar Potential
• Properties of the general NHDM. I. The orbit space
• Baryogenesis in the two doublet and inert singlet extension of the Standard Model
• Radiative Yukawa Couplings in the Simplest Left-Right Symmetric Model
• Vacuum Stability and Symmetry Breaking in Left-Right Symmetric Model
• Higgs masses of the general 2HDM in the Minkowski-space formalism
• Left-Right Symmetric Model without Higgs Triplets