Constraints on supersymmetric theories fromμ→e, γ

In the absence of any additional assumption it is natural to conjecture that sizable flavor-mixing mass entries, $\Delta m^2$, may appear in the mass matrices of the scalars of the MSSM, i.e., $\Delta m^2=O\left(m^2\right)$. This flavor violation can still be reconciled with experiment if the gaugino mass $M_{\frac{1}{2}}$ is large enough, leading to a gaugino dominance framework (i.e., $m_{\frac{1}{2}}^2\gg m^2$), which permits a remarkably model-independent analysis. We study this possibility focusing our attention on the $\mu \to e, \gamma$ decay. In this way we obtain very strong and general constraints, in particular, $\frac{M_{\frac{1}{2}}^2}{\Delta m}\gtrsim 34$ TeV. On the other hand, we show that our analysis and results remain valid for values of $m^2$ much larger than $\Delta m^2$, namely, for $\frac{\Delta m^2}{m^2}\gtrsim \frac{m^2}{10}$ Te${\mathrm{V}}^2$, thus extending enormously their scope of application. Finally, we discuss the implications for superstring scenarios.