A Complete Model for R-parity Violation

Understand

We present a complete model whose low energy effective theory is the R-parity violating NMSSM with a baryon number violating udd 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 flavor structure is enforced by gauging an SU(3) flavor symmetry at high energies.
• After the flavor group is spontaneously broken, mass mixing between the standard model fields and heavy vector-like quarks and leptons induces hierarchical Yukawa couplings which depend on the mixing angles.
• The same mechanism generates the udd coupling, explaining its shared structure.