Vacuum stability with spontaneous violation of lepton number

TL;DR

This paper proposes that spontaneous lepton number violation at the TeV scale can naturally stabilize the Standard Model vacuum, with future Higgs measurements and lepton flavor violation processes serving as key tests.

Contribution

It introduces a novel mechanism where spontaneous lepton number violation stabilizes the vacuum, linking it to TeV-scale physics and potential experimental signatures.

Findings

Vacuum stability can be achieved through spontaneous lepton number violation.

Next LHC runs can test the proposed symmetry breaking scenario.

Enhanced lepton flavor violation rates are predicted.

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 .