A three generation oscillation analysis of the Super-Kamiokande atmospheric neutrino data beyond one mass scale dominance approximation

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In this paper we do a three-generation oscillation analysis of the latest (1144 days) Super-Kamiokande (SK) atmospheric neutrino data going beyond the one mass scale dominance (OMSD) approximation. We fix Δ 12= Δ 13 ( Δ LSND) in the range eV 2 as allowed by the results from LSND and other accelerator and reactor experiments on neutrino oscillation and keep Δ 23 ( Δ ATM) and the three mixing angles as free parameters. We incorporate the matter effects, indicate some new allowed regions with small Δ 23 (<10 −4 eV 2) and sin 22 θ 23 close to 0 and discuss the differences with the two-generation and OMSD pictures. In our scenario, the oscillation probabilities for the accelerator and reactor neutrinos involve only two of the mixing angles θ 12 and θ 13 and one mass scale. But the atmospheric neutrino oscillation is in general governed by both mass scales and all the three mixing angles. The higher mass scale gives rise to Δm 2 independent average oscillations for atmospheric neutrinos and does not enter the χ 2 analysis as an independent parameter. The Δ 23 and the three mixing angles on the other hand appear as independent parameters in the χ 2 analysis and the best-fit values of these are determined from an analysis of (a) the SK data, (b) the SK and CHOOZ data. The allowed values of the mixing angles θ 12 and θ 13 from the above analysis are compared with the constraints from all accelerator and reactor experiments including the latest results from LSND and KARMEN2. Implications for future long baseline experiments are discussed.