Analysis of a three flavor neutrino oscillation fit to recent Super-Kamiokande data

We have analyzed the most recent available Super-Kamiokande data in a three flavor neutrino oscillation model. We have here neglected possible matter effects and we performed a fit to atmospheric and solar Super-Kamiokande data. We have investigated a large parameter range where the mixing angles were restricted to 0 less than or equal to theta (i) less than or equal to pi /2, i = 1,2,3, and the mass squared differences were taken to be in the intervals 10(-11) eV(2) less than or equal to Deltam(2) less than or equal to 10(-2) eV(2) and 10(-4) eV(2) less than or equal to DeltaM(2) less than or equal to 10 eV(2), i.e., the hierarchy between the mass squared differences is not completely determined. This yielded a best solution characterized by the parameter values theta (1) similar or equal to 45 degrees, theta (2) similar or equal to 10 degrees, theta (3) similar or equal to 45 degrees, Deltam(2) similar or equal to 4.4 x 10(-10) eV(2), and DeltaM(2) similar or equal to 1.01. x 10(-3) eV(2), which shows that the analyzed experimental data speak in favor of a bimaximal mixing scenario with one of the mass squared differences in the just-so domain and the other one in the range capable of providing a solution to the atmospheric neutrino problem.QC 2010052