Vacuum stability and spontaneous violation of the lepton number at low energy scale in a model for light sterile neutrinos

Abstract

It is well known that the Standard Model of the Electroweak interactions rests on a metastable vacuum. This can only be fixed by means of new physics. Presently neutrino physics provides the most intriguing framework to formulate new physics. This is so because, in addition to the problem of the lightness of the active standard neutrinos, currently MiniBooNE experimental result may be indicating that sterile neutrinos exist and are light, too. In this case, it is reasonable to expect that the framework that yields light active and sterile neutrinos could stabilize the vacuum, too. In order to achieve this goal, we consider an extension of the standard model which involves new fermions in the form of right-handed neutrinos (${\nu }_R$) and new scalars in the form of triplet ($\Delta$) and singlet ($\sigma$). Within this framework, tiny masses are obtained when we consider that lepton number is spontaneously broken at low energy scale which means that $\Delta$ and $\sigma$, both, develop very small vacuum expectation values. We investigate if this setting leads to a stable vacuum. For this we obtain the whole set of conditions over the Quartic Terms of the Potential that ensures that the model is Bounded From Below(BFB) and evaluate the RGE-evolution of the self coupling of the Higgs. We show that in such a scenario the Quartic Coupling ${\Phi }^T\Delta \Phi \sigma$, where $\Phi$ is the standard Higgs doublet, is responsible for the stability of the Electroweak Vacuum up to Planck scale. We also extract constraints over the parameters of the Potential by means of Lepton Flavor Violating(LFV) processes and from invisible decay of the standard-like Higgs.

arXiv comment20 pages, 2 figures

References in corpus (30)

• Theory and phenomenology of two-Higgs-doublet models
• Evidence for Neutrino Oscillations from the Observation of Electron Anti-neutrinos in a Muon Anti-Neutrino Beam
• SARAH 4: A tool for (not only SUSY) model builders
• Muon Decay and Physics Beyond the Standard Model
• Significant Excess of ElectronLike Events in the MiniBooNE Short-Baseline Neutrino Experiment
• Minimal Extension of the Standard Model Scalar Sector
• General formulae for f1 --> f2 gamma
• A ménage à trois of eV-scale sterile neutrinos, cosmology, and structure formation
• Sterile neutrinos with eV masses in cosmology -- how disfavoured exactly?
• How secret interactions can reconcile sterile neutrinos with cosmology
• Neutrinos And Big Bang Nucleosynthesis
• Lepton Flavour Violating Decays tau to lll and mu to e gamma in the Higgs Triplet Model
• Pseudoscalar - sterile neutrino interactions: reconciling the cosmos with neutrino oscillations
• Revising Limits on Neutrino-Majoron Couplings
• Sterile Neutrinos with Secret Interactions -- Cosmological Discord?
• Consistency of the triplet seesaw model revisited
• Higgs Mass Bounds, Type II SeeSaw and LHC
• Higgs- and Goldstone bosons-mediated long range forces
• Electroweak vacuum stability in presence of singlet scalar dark matter in TeV scale seesaw models
• Seesaw Majoron Model of Neutrino Mass and Novel Signals in Higgs Boson Production at LEP
• Neutrino Masses and Higgs Vacuum Stability
• Assessing Perturbativity and Vacuum Stability in High-Scale Leptogenesis
• Constraints on TeV scale Majorana neutrino phenomenology from the Vacuum Stability of the Higgs
• Vacuum Stability and Symmetry Breaking in Left-Right Symmetric Model
• Phenomenology of a Higgs triplet model at future $e^{+}{e}^{-}$ colliders
• Neutrino Masses in a Two Higgs Doublet Model with a U(1) Gauge Symmetry
• Electroweak Vacuum Stability and the Seesaw Mechanism Revisited
• Electroweak breaking and neutrino mass: "invisible" Higgs decays at the LHC (Type II seesaw)
• Extended Higgs sector of 2HDM with real singlet facing LHC data
• Type I + II Seesaw in a Two Higgs Doublet Model

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