  The existence of R-parity in supersymmetric models can be naturally explained
as being a discrete subgroup of gauged baryon minus lepton number (B-L). The
most minimal supersymmetric B-L model triggers spontaneous R-parity violation,
while remaining consistent with proton stability. This model is well-motivated
by string theory and makes several interesting, testable predictions.
Furthermore, R-parity violation contributes to neutrino masses, thereby
connecting the neutrino sector to the decay of the lightest supersymmetric
particle (LSP). This paper analyzes the decays of third generation squark LSPs
into a quark and a lepton. In certain cases, the branching ratios into charged
leptons reveal information about the neutrino mass hierarchy, a current goal of
experimental neutrino physics, as well as the $\theta_{23}$ neutrino mixing
angle. Furthermore, optimization of leptoquark searches for this scenario is
discussed. Using currently available data, the lower bounds on the third
generation squarks are computed.
