On the Minimal Messenger Model

We study the Minimal Messenger Model, a minimal version of Gauge Mediated Supersymmetry Breaking models. Boundary conditions equal to zero for trilinear and bilinear soft parameters at the messenger scale make this model free from the supersymmetric CP problem and extremely predictive. These boundary conditions and the vicinity of the messenger scale to the electroweak one, require a careful implementation of the mechanism of radiative breaking of $SU(2)\times U(1)$. We assess the importance of considering the complete one-loop effective potential and of including a set of logarithmic two-loop corrections to the B parameter for the correct determination of the electroweak minimum. We analyze the resulting low-energy spectrum and give predictions of interest for future experimental searches.