Simultaneous B and L violation: new signatures from RPV-SUSY

A bstract Studies of R-parity violating (RPV) supersymmetry typically assume that nucleon stability is protected by approximate baryon number (B) or lepton number (L) conservation. We present a new class of RPV models that violate B and L simultaneously (BLRPV), without inducing rapid nucleon decay. These models feature an approximate Z 2 × Z 2 × Z 2 flavorsymmetry,whichforbids2-bodynucleondecayandensuresthatflavor antisymmetric LLE c couplings are the only non-negligible L-violating operators. Nucleons are predicted to decay through N → Keμν and n → eμ ν; the resulting bounds on RPV couplings are rather mild. Novel collider phenomenology arises because the superpartners can decay through both L-violating and B-violating couplings. This can lead to, for example, final states with high jet multiplicity and multiple leptons of different flavor, or a spectrum in which depending on the superpartner, either B or L violating decays dominate. BLRPV can also provide a natural setting for displaced ν → μe decays, which evade many existing collider searches for RPV supersymmetry.