Simultaneous B and L Violation: New Signatures from RPV-SUSY

Understand

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 $Z_2^e \times Z_2^\mu \times Z_2^\tau$ flavor symmetry, which forbids 2-body nucleon decay and ensures that flavor antisymmetric $L L E^c$ couplings are the only non-negligible L-violating operators.
• Nucleons are predicted to decay through $N \rightarrow K e \mu \nu$ and $n \rightarrow e \mu \nu$; the resulting bounds on RPV couplings are rather mild.