A permanent electric dipole moment of the neutron would be a sign of combined charge-conjugation and parity (CP) violation. The prediction of the Standard Model (SM) of particle physics for the neutron EDM is about 10 ^-31 e cm and at the same time CP violation in the SM is insufficient in order to explain the observed baryon asymmetry of the universe (BAU). Several extensions of the SM aiming at explaining the observed BAU also predict values for the neutron EDM up to just below the current best experimental limit of d_n <2.9×10^-26e cm (90%C.L.) [1]. Our collaboration aims at improving the experimental sensitivity to the nEDM by two orders of magnitude which will probe a large part of the parameter space for these models.