EPJ

2023 Impact factor 4.2
EPJ C - Particles and Fields
Particles and Fields
Eur. Phys. J. C 18, 97-106
DOI 10.1007/s100520000513

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

Ch. Meier - T. Ohlsson

Division of Mathematical Physics, Theoretical Physics, Department of Physics, Royal Institute of Technology,
100 44 Stockholm, Sweden

Received: 4 July 2000 / Published online: 27 October 2000 - © Springer-Verlag 2000

Abstract
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 $0 \leq \theta_i \leq \pi/2$, i=1,2,3, and the mass squared differences were taken to be in the intervals $10^{-11}\,{\mathrm {eV}}^2 \leq \Delta m^ 2 \leq 10^{-2}\,{\mathrm {eV}}^2$ and $10^{-4} \,{\mathrm {eV}}^2 \leq \Delta M^2 \leq 10 \,{\mathrm {eV}}^2$, i.e., the hierarchy between the mass squared differences is not completely determined. This yielded a best solution characterized by the parameter values $\theta_1 \simeq 45^\circ$, $\theta_2 \simeq 10^\circ$, $\theta_3 \simeq 45^\circ$, $\Delta m^2 \simeq 4.4 \times 10^{-10}\,{\mathrm {eV}}^2$, and $\Delta M^2 \simeq 1.01 \times 10^{-3}\,{\mathrm {eV}}^2$, 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.

Copyright Società Italiana di Fisica, Springer-Verlag 2000

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