R-parity violating supersymmetry and neutrino masses

Supersymmetric models with R-parity broken only bilinearly provide an interesting alternative to the usual seesaw mechanism for generating small neutrino masses. Their main attractiveness lies in the following two facts: i) No new fields beyond those of the MSSM need to be introduced. ii) Since neutrino masses are generated effectively at the weak scale these models necessarily predict a number of interesting consequences for the phenomenology at future accelerators such as the LHC or a linear collider. Here calculations for neutrino masses at the 1-loop level and the decay of the lightest neutralino are discussed, putting special emphasis on the intimate relation between neutrino and neutralino physics. Finally, a simple extension of the bilinear R-parity breaking MSSM including a light sterile neutrino is briefly reviewed