The increasing precision of neutrino oscillation measurements in LBL experiments requires the theoretical development of a new generation of neutrino-nucleus interaction models and their tuning with with a new generation of near detectors. The BSM-Nu group will work on the development of exclusive nuclear models (SuSaV2, INCL), on the tuning of such models with data (in the framework of T2K with ND280 Upgrade detector) and on the design of appropriate detectors to maximize the precision of such tuning for the next generation of experiments (SAND near detector for DUNE and further upgrade of ND280 for HyperKamiokande).