On SUSY inspired minimal lepton number violation

Lepton number violation (LNV) is studied in the framework of the MSSM complemented by the original trilinear $LL\bar{E}$ and $LQ\bar{D}$ terms which are aligned with the ordinary Yukawa couplings of quarks and leptons. Such a minimal form of LNV follows from the (symmetry-protected) general see-saw mechanism that induces the LNV and Yukawa couplings simultaneously. Detailed phenomenology of the model related to rare leptonic processes, radiatively induced neutrino masses and decays of the LSP, together with quark flavour conservation (being a generic feature of the model) in LNV-inspired hadronic processes is presented. Remarkably, the model can be straightforwardly extended to the Grand Unified framework and an explicit example with SU(7) GUT is thoroughly discussed.