  We compute the mass of the Higgs particle in a scheme in which SUSY is broken
at a large scale M_{SS} well above the electroweak scale M_{EW}. Below M_{SS}
one assumes one is just left with the SM with a fine-tuned Higgs potential.
Under standard unification assumptions one can compute the mass of the Higgs
particle as a function of the SUSY breaking scale M_{SS}. For M_{SS} > 10^{10}
GeV one obtains m_H=126 \pm 3 GeV, consistent with CMS and ATLAS results. For
lower values of M_{SS} the values of the Higgs mass tend to those of a
fine-tuned MSSM with m_H < 130 GeV. These results support the idea that the
measured value of the Higgs mass at LHC may be considered as indirect evidence
for the existence of SUSY at some (not necessarily low) mass scale.
