We investigate how the observed neutrino data can be accommodated by R-parity violation in Split Supersymmetry. The atmospheric neutrino mass and mixing are explained by the bilinear parameters &xii, inducing the neutrino-neutralino mixing as in the usual low-energy supersymmetry. Among various one-loop corrections, only the quark-squark exchanging diagrams involving the order-one trilinear couplings λ′i23,i32 can generate the solar neutrino mass and mixing if the scalar mass ms is not larger than 109 GeV. This scheme requires an unpleasant hierarchical structure of the couplings, e.g. λi23,i32 ∼ 1, λ′i33 ≲ 104 and ξi ≲ 10-6. On the other hand, the model has a distinct collider signature of the lightest neutralino which can decay only to the final states, l2,W(*) and v/Z(*), arising from the bilinear mixing. Thus, the measurement of the ratio; Γ(eW(*)) : Γ(μW(* )): Γ(τW(*)) would provide a clean probe of the small reactor and large atmospheric neutrino mixing angles as far as the neutralino mass is larger than 62 GeV.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics