F-flatness and universality in broken Supergravity

We show that in a broken supergravity theory any field that acquires a vacuum expectation value obtains at the same time a non vanishing F-term whose natural size is given by $ m_{3/2}$. These F-terms contribute unsuppressed to the trilinear couplings and have observable effects in the low energy phenomenology. We show that \mu --> e \gamma decays can receive large contributions from this source at the level of current experimental bounds. Therefore this decay may provide the first clue of the structure of the soft breaking sector with the proposed experiments in the near future.