Stability of the Standard Model Vacuum with Vector-Like Leptons: A Critical Examination

Abstract

The stability of the Standard Model (SM) Higgs vacuum is a long-standing issue in particle physics. The SM Higgs quartic coupling parameter is expected to become negative at high scales, potentially generating an unstable vacuum well before reaching the Planck scale. We investigate whether the introduction of vector-like leptons (VLLs) in six distinct gauge anomaly-independent representations can stabilize the SM vacuum without introducing additional scalar fields. By analyzing the mass spectrum and mixing angles of these VLLs with the SM leptons, we identify conditions under which the Higgs potential remains stable. We demonstrate that there exists a set of allowed but narrowed VLL spectra that can indeed stabilize the SM vacuum. We also study the effect of these VLLs on electroweak precision observables, particularly the oblique parameters S and T to ensure fit within global experimental constraints. Finally, we perform a comprehensive analysis of the parameter space allowed by electroweak precision data and the parameter space required for stability, highlighting cases that accommodate both. This study opens up new avenues for understanding the role of vector-like leptons in extending the validity of the Standard Model up to the Planck scale.

26 pages, 10 figures

References in corpus (24)

• A portrait of the Higgs boson by the CMS experiment ten years after the discovery
• A detailed map of Higgs boson interactions by the ATLAS experiment ten years after the discovery
• A second Higgs from the Higgs portal
• Survey of vector-like fermion extensions of the Standard Model and their phenomenological implications
• A study of electroweak vacuum metastability with a singlet scalar dark matter
• Stabilizing Electroweak Vacuum in a Vector-like Fermion Model
• Electroweak Precision Constraints on Vector-like Fermions
• Asymptotically Safe Standard Model via Vector-Like Fermions
• Interpreting the $W$-mass anomaly in the vectorlike quark models
• Electroweak vacuum stability in presence of singlet scalar dark matter in TeV scale seesaw models
• Sharp Gamma-ray Spectral Features from Scalar Dark Matter Annihilations
• Inclusive nonresonant multilepton probes of new phenomena at $\sqrt{s}=$ 13 TeV
• Bremsstrahlung and Gamma Ray Lines in 3 Scenarios of Dark Matter Annihilation
• Portals into Higgs vacuum stability
• The flavor puzzle in multi-Higgs models
• The minimal fermionic model of electroweak baryogenesis
• A leptoquark and vector-like quark extended model for the simultaneous explanation of the $W$ boson mass and muon $g-2$ anomalies
• Fermion Dark Matter with Scalar Triplet at Direct and Collider Searches
• Search for third-generation vector-like leptons in $pp$ collisions at $\sqrt{s}=13\text{TeV}$ with the ATLAS detector
• Unified Flavor Symmetry from warped dimensions
• The Mu2e experiment at Fermilab: a search for lepton flavor violation
• Vacuum stability in the Standard Model with vector-like fermions
• Search for pair-produced vector-like leptons in final states with third-generation leptons and at least three b quark jets in proton-proton collisions at $\sqrt{s}$ = 13 TeV
• Closing in on new chiral leptons at the LHC

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• The Two Scales of New Physics in Loop-Induced Higgs Couplings
• From Higgs physics to lepton flavour violation: current bounds and future prospects for vector-like lepton models