Vacuum stability and naturalness in type-II seesaw

Understand

We study the vacuum stability and perturbativity conditions in the minimal type-II seesaw model.

• These conditions give characteristic constraints to model parameters.
• In the model, there is a $SU(2)_L$ triplet scalar field, which could cause a large Higgs mass correction.
• From the naturalness point of view, heavy Higgs masses should be lower than $350\,{\rm GeV}$, which can be testable by the LHC Run-II results.