  For a long time, the minimal supersymmetric standard model (MSSM) with light
masses for the supersymmetric states was considered as the most natural
extension of the Standard Model of particle physics. Consequently, a valid
approximation was to match the MSSM to the precision measurement directly at
the electroweak scale. This approach was also utilized by all dedicated
spectrum generators for the MSSM. However, the higher the supersymmetric (SUSY)
scale is, the bigger the uncertainties which are introduced by this matching.
We point out important consequences of a two-scale matching, where the running
parameters within the SM are calculated at $M_Z$ and evaluated up to the SUSY
scale, where they are matched to the full model. We show the impact on gauge
coupling unification as well as the SUSY mass spectrum. Also the Higgs mass
prediction for large supersymmetric masses has been improved by performing the
calculation within an effective SM. The approach presented here is now also
available in the spectrum generator SPheno. Moreover, also SARAH was extended
accordingly and gives the possibility to study these effects now in many
different supersymmetric models.
