- V”V””  , one can obtain a bound m\^4()    () M\_\^2  . \[jerar\] This means that if, [*at some finite value of $\phi$*]{}, $\delta(\phi)$ vanishes or is very small, then the bound could be violated, indicating that our model is wrong or incomplete.

In the case of the physical Higgs field $H$ of the SM the above differential equations would have an additional positive term $(g_1^2+g_2^2)$ contributing to $\delta(H)$ from the exchange of electroweak gauge bosons. It is known that above the EW region, the potential for the Higgs reaches a maximum at $Q_{\text{max}}$ and eventually decreases and becomes negative in a region around $Q_{ins}\simeq 10^{11}-10^{13}$ GeV, see e.g.[@Espinosa] and references therein. The maximum turns out to be close to the instability scale $Q_{ins}$ and $\delta(H)$ may vanish close to that scale [@preparation]. This would be the signal that either some new physics appear at that point or else one has to modify the SM below $Q_{\text{max}}$ so that this zero of the Higgs interaction never appears. In particular, a SUSY version of the SM like e.g. the MSSM may avoid this potential problem. The Higgs potential in the SUSY case is monotonous, with no maxima at any intermediate region 