Brane to bulk supersymmetry breaking and radion force at micron distances

We study mediation of supersymmetry breaking in the bulk, in models with primordial supersymmetry breaking on D-branes at the string scale, in the TeV region. We compute the gravitino and scalar masses up to one-loop level, as well as the radion coupling to matter. We find that the latter mediates a model independent force at submillimeter distances that can be tested in micro-gravity experiments for any dimensionality of the bulk. In the case of two large dimensions, our type I string framework provides an example which allows to stabilize the radion potential and determine the desired hierarchy between the string and Planck scales. On leave of absence from CPHT, Ecole Polytechnique, UMR du CNRS 7644. Permanent address: LPTHE, Universités de Paris VI et VII, UMR du CNRS 7589.