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If N=2 supersymmetry breaks to N=1 supersymmetry at an intermediate scale$m_2$ and then, later on, N=1 supersymmetry breaks and produces standard modelat a scale $m_{susy}$ such that $m_2 > m_{susy}$, renormalization groupevolution of three gauge couplings are altered above the scale $m_2$, changingthe unification scale and the unified coupling. We show that when we enforcethis general condition $m_2 > m_{susy}$ on the solutions of the renormalizationgroup equations, the condition is translated into an upper bound on the scale$m_{susy}$. Using presently favored values of$\alpha_1(m_z),\alpha_2(m_z),\alpha_3(m_z)$, we get $m_{susy} < 4.5 \times10^9$ GeVs for the central value of $\alpha_3(m_Z)$. When low energy thresholdeffect is present, this bound gets smeared yet remains generally stable in the$10^9-10^{10}$ GeV range. We also show that if we demand string unificationinstead of having an unified gauge theory, this constraint can be changed byexotic hypercharge normalizations.

UPPER BOUND ON THE MASS SCALE OF SUPERPARTNERS IN MINIMAL N = 2 SUPERSYMMETRY