Flat direction MSSM (A-term) Inflation

The Minimal Supersymmetry Standard Model contains several hundreds of D- and F-flat directions that are lifted by soft susy breaking terms as well as by non-renormalizable terms. In a recent paper we find that only two of these directions, {\bf LLe} and {\bf udd} can accommodate inflation. The model predicts more than $10^3$ e-foldings with an inflationary scale of $H_{\rm inf}\sim 1$ GeV, provides a tilted spectrum compatible with WMAP3, and a negligible tensor perturbation. The reheating temperature could be as low as $T_{rh}\sim 1$ TeV. The model is stable under radiative as well as supergravity corrections, although a significant finetunning has to be imposed on the ratio of two parameters of the model. The RGE equations allow us to relate the model parameters with slepton and gaugino masses explorable in the LHC, while the neutralino in this model could well be within reach of present dark matter searches in the laboratory.