Neutrino physics and spontaneous CP violation in the μνSSM

The mu nu SSMprovides a solution to the mu problem of the MSSM and explains the origin of neutrino masses by simply using right-handed neutrino superfields. We have completed the analysis of the vacua in this model, studying the possibility of spontaneous CP violation through complex Higgs and sneutrino vacuum expectation values. As a consequence of this process, a complex MNS matrix can be present. Besides, we have discussed the neutrino physics and the associated electroweak seesaw mechanism in the mu nu SSM, including also phases. Current data on neutrino masses and mixing angles can easily be reproduced.