On the Veltman Condition, the Hierarchy Problem and High-Scale Supersymmetry

Understand

In this paper we have considered the possibility that the Standard Model, and its minimal extension with the addition of singlets, merges with a high-scale supersymmetric theory at a scale satisfying the Veltman condition and therefore with no sensitivity to the cutoff.

• The matching of the Standard Model is achieved at Planckian scales.
• In its complex singlet extension the matching scale depends on the strength of the coupling between the singlet and Higgs fields.
• For order one values of the coupling, still in the perturbative region, the matching scale can be located in the TeV ballpark.