Vacuum (meta-)stability in the $\mu \nu$SSM

Abstract

We perform an analysis of the vacuum stability of the neutral scalar potential of the $\mu$-from-$\nu$ Supersymmetric Standard Model ($\mu \nu$SSM). As an example scenario, we discuss the alignment-without-decoupling limit of the $\mu \nu$SSM, for which the required conditions on the Higgs sector are derived. We demonstrate that in this limit large parts of the parameter space feature unphysical minima that are deeper than the electroweak minimum. In order to estimate the lifetime of the electroweak vacuum, we calculate the rates for the tunneling process into each unphysical minimum. We find that in many cases the resulting lifetime is longer than the age of the universe, such that the considered parameter region is not excluded. On the other hand, we also find parameter regions in which the electroweak vacuum is short-lived. We investigate how the different regions of stability are related to the presence of light right-handed sneutrinos. Accordingly, a vacuum stability analysis that accurately takes into account the possibility of long-lived metastable vacua is crucial for a reliable assessment of the phenomenological viability of the parameter space of the $\mu \nu$SSM and its resulting phenomenology at the (HL)-LHC.

arXiv comment35 pages, 4 figures, 3 tables, v2: References added, matches published version

References in corpus (60)

• 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
• Measurements of the Higgs boson production and decay rates and constraints on its couplings from a combined ATLAS and CMS analysis of the LHC $pp$ collision data at $\sqrt{s}=$ 7 and 8 TeV
• FeynHiggs: a program for the calculation of the masses of the neutral CP-even Higgs bosons in the MSSM
• Towards High-Precision Predictions for the MSSM Higgs Sector
• The Masses of the Neutral CP-even Higgs Bosons in the MSSM: Accurate Analysis at the Two-Loop Level
• HiggsBounds: Confronting Arbitrary Higgs Sectors with Exclusion Bounds from LEP and the Tevatron
• HiggsBounds-4: Improved Tests of Extended Higgs Sectors against Exclusion Bounds from LEP, the Tevatron and the LHC
• HiggsSignals: Confronting arbitrary Higgs sectors with measurements at the Tevatron and the LHC
• The Higgs Boson Masses and Mixings of the Complex MSSM in the Feynman-Diagrammatic Approach
• HiggsBounds 2.0.0: Confronting Neutral and Charged Higgs Sector Predictions with Exclusion Bounds from LEP and the Tevatron
• CosmoTransitions: Computing Cosmological Phase Transition Temperatures and Bubble Profiles with Multiple Fields
• Combined measurements of Higgs boson production and decay using up to $80$ fb${}^{-1}$ of proton-proton collision data at $\sqrt{s}=$ 13 TeV collected with the ATLAS experiment
• Combined measurements of Higgs boson couplings in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• High-precision predictions for the light CP-even Higgs Boson Mass of the MSSM
• Strong Constraints on the Parameter Space of the MSSM from Charge and Color Breaking Minima
• Probing the Standard Model with Higgs signal rates from the Tevatron, the LHC and a future ILC
• Applying Exclusion Likelihoods from LHC Searches to Extended Higgs Sectors
• The Higgs Sector of the Next-to-Minimal Supersymmetric Standard Model
• Impersonating the Standard Model Higgs Boson: Alignment without Decoupling
• HiggsSignals-2: Probing new physics with precision Higgs measurements in the LHC 13 TeV era
• Proposal for a Supersymmetric Standard Model
• Constructing star products on Poisson manifolds
• Reconciling EFT and hybrid calculations of the light MSSM Higgs-boson mass
• Precise prediction for the light MSSM Higgs boson mass combining effective field theory and fixed-order calculations
• Search for a new scalar resonance decaying to a pair of Z bosons in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• Neutrino masses and mixing, lightest neutralino decays and a solution to the $\mu$ problem in supersymmetry
• Precision calculations in the MSSM Higgs-boson sector with FeynHiggs 2.14
• Precision decay rate calculations in quantum field theory
• Analysis of the parameter space and spectrum of the $\mu \nu$SSM
• General Solutions for Tunneling of Scalar Fields with Quartic Potentials
• Higgs-mass predictions in the MSSM and beyond
• On the Alignment Limit of the NMSSM Higgs Sector
• LHC phenomenology of the $\mu \nu$SSM
• The upper bound on the lightest Higgs mass in the NMSSM revisited
• Neutrino Physics and Spontaneous CP Violation in the $\mu \nu$SSM
• Precise prediction for the Higgs-Boson Masses in the $\mu \nu$SSM
• Radiative contribution to neutrino masses and mixing in $\mu \nu$SSM
• Electroweak Phase Transition in the munuSSM
• BubbleProfiler: finding the field profile and action for cosmological phase transitions
• Impact of Vacuum Stability Constraints on the Phenomenology of Supersymmetric Models
• A direct approach to quantum tunneling
• Fate of electroweak symmetry in the early Universe: Non-restoration and trapped vacua in the N2HDM
• Soft supersymmetry-breaking terms from supergravity and superstring models
• Phenomenology of supersymmetric models with a singlet
• Vacuum Instabilities in the N2HDM
• The Higgs sector of the munuSSM and collider physics
• Precise prediction for the Higgs-Boson Masses in the $\mu \nu$SSM with three right-handed neutrino superfields
• Searching for left sneutrino LSP at the LHC
• Probing the $\mu \nu$SSM with light scalars, pseudoscalars and neutralinos from the decay of a SM-like Higgs boson at the LHC
• Looking for the left sneutrino LSP with displaced-vertex searches
• Search for sharp and smooth spectral signatures of $\mu \nu$SSM gravitino dark matter with Fermi-LAT
• MeV-GeV $\gamma$-ray telescopes probing axino LSP/gravitino NLSP as dark matter in the $\mu \nu$SSM
• Searching for Supersymmetry: The $\mu \nu$SSM
• Phenomenology of a New Supersymmetric Standard Model: The $\mu \nu$SSM
• A new view on vacuum stability in the MSSM
• Impact of Higgs physics on the parameter space of the $\mu \nu$SSM
• Sampling the $\mu \nu$SSM for displaced decays of the tau left sneutrino LSP at the LHC
• munuSSM: A python package for the $\mu$-from-$\nu$ Supersymmetric Standard Model
• MeV-GeV $\gamma$-ray telescopes probing gravitino LSP with coexisting axino NLSP as dark matter in the $\mu \nu$SSM

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