A Complete Model for R-parity Violation
We present a complete model whose low energy eective theory is the R-parity violating NMSSM with a baryon number violating u d d vertex of the MFV SUSY form, leading to prompt LSP decay and evading the ever stronger LHC bounds on low-scale R-parity conserving supersymmetry. MFV avor structure is enforced by gauging an SU(3) avor symmetry at high energies. After the avor group is spontaneously broken, mass mixing between the standard model elds and heavy vector-like quarks and leptons induces hierarchical Yukawa couplings which depend on the mixing angles. The same mechanism generates the u d d coupling, explaining its shared structure. A discrete R-symmetry is imposed which forbids all other dangerous lepton and baryon-number violating operators (including Planck-suppressed operators) and simultaneously solves the problem. While avor constraints require the avor gauge bosons to be outside of the reach of the LHC, the vector-like top partners could lie below 1 TeV.