Minimal gauge origin of baryon triality and flavorful signatures at the LHC

Baryon triality (B₃) is a Z₃ discrete symmetry that can protect the proton from decay. Although its realization does not require supersymmetry, it is particularly appealing in the supersymmetry as an alternative to the popular R-parity. We discuss the issues in gauging B₃, and present the minimal supersymmetric model with B₃ as the remnant discrete symmetry of a TeV scale U(1) gauge symmetry. A flavor-dependent U(1) charge is necessary to achieve this, and it results in very distinguishable and flavorful predictions for the LHC experiments. We find a complementarity between a 2-lepton sneutrino resonance and a 4-lepton Z^′ resonance in the supersymmetry search when a certain condition is satisfied.In addition, we introduce baryon tetrality (B₄), which would play an equivalent role if there are four fermion generations.