Vacuum stability with spontaneous violation of lepton number

Abstract

The vacuum of the Standard Model is known to be unstable for the measured values of the top and Higgs masses. Here we show how vacuum stability can be achieved naturally if lepton number is violated spontaneously at the TeV scale. More precise Higgs measurements in the next LHC run should provide a crucial test of our symmetry breaking scenario. In addition, these schemes typically lead to enhanced rates for processes involving lepton flavour violation .

9 pages, 4+2 figures; some references added, some textual modifications: 2 figures added, appendices added. Results unchanged. Matches published version

References in corpus (7)

• Big-Bang Nucleosynthesis
• Neutrino oscillations refitted
• Search for invisible decays of Higgs bosons in the vector boson fusion and associated ZH production modes
• A second Higgs from the Higgs portal
• The low-scale approach to neutrino masses
• Two-loop stability of a complex singlet extended Standard Model
• A Simple Motivated Completion of the Standard Model below the Planck Scale: Axions and Right-Handed Neutrinos

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