Consistency of the triplet seesaw model revisited

Abstract

Adding a scalar triplet to the Standard Model is one of the simplest ways of giving mass to neutrinos, providing at the same time a mechanism to stabilize the theory's vacuum. In this paper, we revisit these aspects of the type-II seesaw model pointing out that the bounded-from-below conditions for the scalar potential in use in the literature are not correct. We discuss some scenarios where the correction can be significant and sketch the typical scalar boson profile expected by consistency.

14 pages, 5 figures, references added, minor changes to match the published version

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Cited by in corpus (56)

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• Revisiting the high-scale validity of Type-II seesaw model with novel LHC signature
• Updated scalar sector constraints in Higgs triplet model
• Neutrino oscillations and the seesaw origin of neutrino mass
• Towards deconstructing the simplest seesaw mechanism
• Vacuum stability and naturalness in type-II seesaw
• Electroweak precision tests for triplet scalars
• The symmetry approach to quark and lepton masses and mixing
• Electroweak Phase Transition and Gravitational Waves in the Type-II Seesaw Model
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• A Call for New Physics : The Muon Anomalous Magnetic Moment and Lepton Flavor Violation
• Vacuum Stability and Symmetry Breaking in Left-Right Symmetric Model
• Naturalness in Type II seesaw model and implications for physical scalars
• Reconciling $(g-2{)}_{\mu }$ and charged lepton flavour violating processes through a doubly charged scalar
• Vacuum stability conditions of the economical 3-3-1 model from copositivity
• Electroweak breaking and neutrino mass: "invisible" Higgs decays at the LHC (Type II seesaw)
• The Triplet Dirac Seesaw in the View of the Recent CDF-II W Mass Anomaly
• Neutrino masses, vacuum stability and quantum gravity prediction for the mass of the top quark
• Vacuum Stability Conditions for Higgs Potentials with $SU(2{)}_L$ Triplets
• Consistency of a gauged two-Higgs-doublet model: Scalar sector
• Testing Type II Radiative Seesaw Model: from Dark Matter Detection to LHC Signatures
• Theory and Phenomenology of Two Higgs Doublet Type-II Seesaw Model at the LHC Run-2
• Lepton Flavour Violation Tests of Type II Seesaw Leptogenesis
• Testing electroweak scale seesaw models at $e^{-}\gamma$ and $\gamma \gamma$ colliders
• Associated production of SM Higgs with a photon in type-II seesaw models at the ILC
• Scrutinizing Vacuum Stability in IDM with Type-III Inverse seesaw
• Minima of the Scalar Potential in the Type II Seesaw Model: From Local to Global
• Vacuum Stability in Inert Higgs Doublet Model with Right-handed Neutrinos
• LHC signals of triplet scalars as dark matter portal: cut-based approach and improvement with gradient boosting and neural networks
• High-energy colliders as a probe of neutrino properties
• Higgs-like particle decays into $\gamma Z$ and $\gamma \gamma$ : Fingerprints of some non-supersymmetric models
• Neutrino-axion-dilaton interconnection
• The Higgs Potential in 2HDM extended with a Real Triplet Scalar: A roadmap
• Type-II Majoron Dark Matter
• The Type II Dirac Seesaw Portal to the mirror sector: Connecting neutrino masses and a solution to the strong CP problem
• Purely Triplet Seesaw and Leptogenesis within Cosmological Bound, Dark Matter and Vacuum Stability
• Vacuum Stability in the one-loop approximation of a 331 Model
• Constraints on the Doublet Left-Right Symmetric Model from Higgs data
• Radiatively scotogenic type-II seesaw and a relevant phenomenological analysis
• Constraining the Higgs Trilinear Coupling from an $SU(2)$ Quadruplet with Bounded-from-Below Conditions
• Parity and lepton masses in the left-right symmetric model
• Vacuum stability of the type II seesaw leptogenesis from inflation
• On the addition of a large scalar multiplet to the Standard Model
• Vacuum stability and spontaneous violation of the lepton number at low energy scale in a model for light sterile neutrinos
• Vacuum Stability and Radiative Symmetry Breaking of the Scale-Invariant Singlet Extension of Type II Seesaw Model
• Sphaleron in the Higgs Triplet Model
• Consistency of New CDF-II W Boson Mass with 123-Model
• Electroweak phase transition with radiative symmetry breaking in Type-II seesaw with inert doublet
• Radiative neutrino model with semi-annihilation dark matter
• Vacuum Stability Conditions for New $SU(2)$ Multiplets
• Boundedness from below of SU(n) potentials
• Accidental symmetries in the scalar potential of the Standard Model extended with two Higgs triplets