Bilinear R-parity violating SUSY: Solving the solar and atmospheric   neutrino problems
  Bilinear R-parity violation is a simple extension of the MSSM allowing for Majorana neutrino masses. One of the three neutrinos picks up mass by mixing with the neutralinos of the MSSM, while the other two neutrinos gain mass from 1-loop corrections. Once 1-loop corrections are carefully taken into account the model is able to explain solar and atmospheric neutrino data for specific though simple choices of the R-parity violating parameters. 
M. Hirsch, W. Porod, J.W.F. Valle, M. A. Diaz, J. C. Romao