Impact of hierarchy upon the values of neutrino mixing parameters

A neutrino-oscillation analysis is performed of the more finely binned Super-Kamiokande (Super-K) atmospheric, MINOS, and CHOOZ data to examine the effect of neutrino hierarchy in this data set on the value of θ13 and the deviation of θ23 from maximal mixing. Exact oscillation probabilities are used, thus incorporating all powers of θ13 and ε:=θ23-π/4. The extracted oscillation parameters are found to be dependent on the hierarchy, particularly for θ13. We find, at a 90% confidence level, that these parameters are Δ32=2.44-0.20+0.26 and 2.48-0.22+0.25x10-3 eV2, ε=θ23-π/4=0.06-0.16+0.06 and 0.06-0.17+0.08, and θ13=-0.07-0.11+0.18 and -0.13-0.16+0.23, for the normal and inverted hierarchies, respectively. The inverted hierarchy is preferred at a statistically insignificant level of 0.3σ.