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 .
Highlights
The vacuum of the Standard Model (SM) scalar potential is unstable since at high energies the Higgs effective quartic coupling is driven to negative values by the renormalization group flow [1, 2]
Tiny2 and negative, it suggests that the mechanism responsible for generating neutrino masses and lepton number violation is potentially relevant for the Higgs stability problem
In conclusion, the Standard Model vacuum is unstable for the measured top and Higgs boson masses
Summary
The vacuum of the Standard Model (SM) scalar potential is unstable since at high energies the Higgs effective quartic coupling is driven to negative values by the renormalization group flow [1, 2]. With only the SM fields, neutrino masses can arise in a model-independent way from a dimension 5 effective operator κLLHH which gives rise to a κ H 2 neutrino mass after electroweak symmetry breaking [5] It suggests that the mechanism responsible for generating neutrino masses and lepton number violation is potentially relevant for the Higgs stability problem. Even though our renormalization group equations (RGEs) are the same as those characterizing standard case, the values of the Dirac–type neutrino Yukawa couplings are typically much higher in our inverse seeaw scenario
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