Neutrino Mass from R-parity Violation in Split Supersymmetry

Eung Jin Chun, Seong Chan Park
2005 Journal of High Energy Physics  
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 ξ_i 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 m_S is not larger
more » ... an 10^9 GeV. This scheme requires an unpleasant hierarchical structure of the couplings, e.g., λ_i23,i32∼ 1, λ'_i33≲ 10^-4 and ξ_i ≲ 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, l_i W^(*) and ν Z^(*), arising from the bilinear mixing. Thus, the measurement of the ratio; Γ(e W^(*)) : Γ(μ W^(*)) : Γ(τ W^(*)) 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.
doi:10.1088/1126-6708/2005/01/009 fatcat:2fs3funx2bgcphszmfplroiqoy