Form many years the last measurement of the muon anomalous magnetic moment at BNL has stirred significant interest in the whole HEP community due to a ~3 standard deviation discrepancy between the experimental result and the Standard Model prediction. This new experiment will reduce the experimental resolution by a factor larger than four taking the final accuracy to less than 0.15 part per million. Several major improvements are needed in the generation of clean intense muon beams and the control of several systematic errors. Assuming a realist improvement in the theoretical accuracy the effect observed at BNL could be boosted up to eight standard deviations with this experiment thus giving a strong evidence for new physics in the Tev scale.