Minima of the Scalar Potential in the Type II Seesaw Model: From Local to Global

Abstract

The Type II seesaw model requires that its scalar doublet $H$ and triplet $\Delta$ get specific patterns of VEVs $⟨H⟩\propto (0,1{)}^T$ and $⟨\Delta ⟩\propto (0,0,1{)}^T$ to accommodate neutrino masses. However, other types of minima could also exist in the scalar potential, which may strongly contradict to experimental observations. This paper studies when the minimum at $⟨H⟩\propto (0,1{)}^T$ and $⟨\Delta ⟩\propto (0,0,1{)}^T$ will be global and finds the necessary and sufficient condition for that, assuming that the lepton number violating term $H^2\Delta$ in the potential is perturbatively small.

arXiv comment15 pages, 3 figures

References in corpus (38)

• 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
• Theory and phenomenology of two-Higgs-doublet models
• Updated fit to three neutrino mixing: status of leptonic CP violation
• Neutrino oscillations refitted
• Status of three-neutrino oscillation parameters, circa 2013
• Vacuum Stability Conditions From Copositivity Criteria
• The Higgs Potential in the Type II Seesaw Model
• Vacuum Stability, Perturbativity, EWPD and Higgs-to-diphoton rate in Type II Seesaw Models
• Triplet Scalars and Dark Matter at the LHC
• Higgs boson decay into 2 photons in the type~II Seesaw Model
• Enhancement of H to gamma gamma from doubly charged scalars in the Higgs Triplet Model
• Testing the Higgs triplet model with the mass difference at the LHC
• Radiative corrections to the Higgs boson couplings in the triplet model
• Precision observables in SU(2) x U(1) models with an additional Higgs triplet
• Production of doubly charged scalars from the decay of singly charged scalars in the Higgs Triplet Model
• Higgs Vacuum Stability, Neutrino Mass, and Dark Matter
• Consistency of the triplet seesaw model revisited
• Copositive Criteria and Boundedness of the Scalar Potential
• LHC Phenomenology of Type II Seesaw: Nondegenerate Case
• Higgs Triplets and Limits from Precision Measurements
• (Non)decoupling of the Higgs triplet effects
• Neutral Higgs Bosons in the Higgs Triplet Model with nontrivial mixing
• Updated scalar sector constraints in Higgs triplet model
• Higgs mass bounds in a Triplet Model
• LHC Phenomenology of the Type II Seesaw Mechanism: Observability of Neutral Scalars in the Nondegenerate Case
• Mass bounds in a model with a Triplet Higgs
• Five-lepton and six-lepton signatures from production of neutral triplet scalars in the Higgs Triplet Model
• Higgs Triplets, Decoupling, and Precision Measurements
• Low-Energy Effective Theory, Unitarity, and Non-Decoupling Behavior in a Model with Heavy Higgs-Triplet Fields
• Renormalization of the Higgs sector in the triplet model
• Vacuum stability and naturalness in type-II seesaw
• Production of doubly charged scalars from the decay of a heavy SM-like Higgs boson in the Higgs Triplet Model
• Correlation of $h\to \gamma \gamma$ and $Z\gamma$ in Type-II seesaw neutrino model
• Naturalness in Type II seesaw model and implications for physical scalars
• Dark Matter in the Higgs Triplet Model
• Degenerate Higgs bosons decays to $\gamma \gamma$ and $Z\gamma$ in the type II Seesaw Model
• Inert Dark Matter in Type-II Seesaw

Cited by in corpus (8)

• Towards deconstructing the simplest seesaw mechanism
• Doubly-charged Higgs Boson at Future Electron-Proton Collider
• Tree-level vacuum stability of two-Higgs-doublet models and new constraints on the scalar potential
• Further study of the global minimum constraint on the two-Higgs-doublet models: LHC searches for heavy Higgs bosons
• Stability of neutral minima against charge breaking in the Higgs triplet model
• Lepton and quark mixing patterns with generalized CP transformations
• Prescription for finite oblique parameters $S$ and $U$ in extensions of the SM with $m_W\ne m_Z\cos {\theta }_W$
• Accidental symmetries in the scalar potential of the Standard Model extended with two Higgs triplets