Vacuum stability with spontaneous violation of lepton number

Understand

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 .