Abstract
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 → eμν; 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.
Highlights
Which are antisymmetric in flavor indices2 i.e. i = k, j = k do not generate dangerous 4-fermion qqq effective operators in the presence of the λ U cDcDc BRPV couplings
BLRPV requires an approximate Z2e × Z2μ × Z2τ flavor symmetry in the lepton sector, which forbids 4-fermion effective operators leading to 2-body nucleon decay
This symmetry forbids all LRPV operators aside from λijkLiLjEkc for i = k, j = k, significantly reducing the number of free parameters usually associated with the LRPV superpotential
Summary
An example of the diagrams which generate 6-fermion effective operators in the presence of BRPV and λijk, i = k, j = k couplings Such operators induce the 4-body nucleon decay modes. LRPV couplings are λijkLiLjEkc for i = k, j = k in the lepton mass eigenstate basis, the diagrams of figure 1 vanish (absent flavor-changing slepton mass insertions) In this limit, the leading diagrams which induce nucleon decay are those similar to figure 2, resulting in.
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