  We confront the R-parity violating MSSM model with the neutrino oscillation
data. Investigating the 1-loop particle-sparticle diagrams with additional
bilinear insertions on the external neutrino lines we construct the relevant
contributions to the neutrino mass matrix. A comparison of the so-obtained
matrices with the experimental ones assuming normal or inverted hierarchy and
taking into account possible CP violating phases, allows to set constraints on
the values of the bilinear coupling constants. A similar calculation is
presented with the input from the Heidelberg-Moscow neutrinoless double beta
decay experiment. We base our analysis on the renormalization group evolution
of the MSSM parameters which are unified at the GUT scale. Using the obtained
bounds we calculate the contributions to the Majorana neutrino transition
magnetic moments.
