Vacuum Stability and Symmetry Breaking in Left-Right Symmetric Model

Abstract

We derive analytic necessary and sufficient conditions for the vacuum stability of the left-right symmetric model by using the concepts of copositivity and gauge orbit spaces. We also derive the conditions sufficient for successful symmetry breaking and the existence of a correct vacuum. We then compare results obtained from the derived conditions with those from numerical minimization of the scalar potential. Finally, we discuss the renormalization group analysis of the scalar quartic couplings through an example study that satisfies vacuum stability, perturbativity, unitarity and experimental bounds on the physical scalar masses.

arXiv comment28 pages, 3 figures, 1 table, revised sec. 4.3 and 5, version to be published in JHEP

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• Scrutinizing Vacuum Stability in IDM with Type-III Inverse seesaw
• Vacuum Stability in Inert Higgs Doublet Model with Right-handed Neutrinos
• Vacuum stability conditions of the general two-Higgs-doublet potential
• Vacuum Structure of Alternative Left-Right Model
• Confronting dark fermion with a doubly charged Higgs in the left-right symmetric model
• Constraints on the Doublet Left-Right Symmetric Model from Higgs data
• Co-positivity of tensors and bounded from below conditions of CP conserving two-Higgs-doublet potential
• Nucleon and dinucleon decays to leptonic final states in a left-right symmetric model with large extra dimensions
• Vacuum stability and spontaneous violation of the lepton number at low energy scale in a model for light sterile neutrinos
• Decaying scalar dark matter in the minimal left-right symmetric model
• Vacuum Structure of an Extended Standard Model with $U(1{)}_D$ Symmetry
• Radiative Effects in the Scalar Sector of Vector Leptoquark Models
• Theoretical constraints on scalar parameters in the compact 341 model
• Loop-Level Lepton Flavor Violation and Diphoton Signals in the Minimal Left-Right Symmetric Model
• Vacuum Stability Conditions and Potential Minima for a Matrix Representation in Lightcone Orbit Space
• Accidental symmetries in the scalar potential of the Standard Model extended with two Higgs triplets