Electroweak vacuum stability and finite quadratic radiative corrections

Understand

If the Standard Model (SM) is an effective theory, as currently believed, it is valid up to some energy scale $\Lambda$ to which the Higgs vacuum expectation value is sensitive throughout radiative quadratic terms.

• The latter ones destabilize the electroweak vacuum and generate the SM hierarchy problem.
• For a given perturbative Ultraviolet (UV) completion, the SM cutoff can be computed in terms of fundamental parameters.
• If the UV mass spectrum involves several scales the cutoff is not unique and each SM sector has its own UV cutoff $\Lambda_i$.