Atmospheric Neutrino Oscillations in Three-Flavor Neutrinos. II

Abstract

We analyze the atmospheric neutrino experiments of SuperKamiokande (535 days) using the three-flavor neutrino framework with the mass hierarchy m_1 nearly equal m_2 << m_3. We study the event ratios of sub-GeV, multi-GeV and upward through-going muons zenith angle distributions. Taking into account the atmospheric and terrestrial experiments, we obtain the allowed regions of mass and mixing parameters \Delta m_{12}^2, sin^22\theta_{12}, \Delta m_{23}^2, \theta_{13} and \theta_{23}. The mass parameter \Delta m^2_{23} is restricted to 0.01eV^2-0.0002eV^2. For mixing parameters, there is no difference between the large \theta_{12} angle solution and the small one, and \theta_{13}<13degrees, 28degrees<\theta_{23}<37degrees and 53degrees< \theta_{23}<62degrees for \Delta m_{23}^2=0.01eV^2, \theta_{13}<23degrees and 29degrees<\theta_{23}<61degrees for \Delta m_{23}^2=0.00eV^2, 4degrees< \theta_{13}<22degrees and 38degrees<\theta_{23}<54degrees for \Delta m_{23}^2 =0.0002eV^2.Comment: 17pages, LaTeX, used macro: ptpte

Phenomenology with Massive Neutrinos

“…We next discuss the sub-leading effects due to ∆m 2 21 oscillations for vanishing small value of θ 13 [131][132][133][134][135][136][137][138][139]. In this approximation and for constant Earth matter density the relevant oscillation probabilities can be written as:…”

Can LSND be included in a three-neutrino framework?

“…Thus one should analyze the experimental data not in the oversimplified two family but in a three family mixing scheme. This has been done by several authors [13][14][15][16][17][18][19]. The results of these analyses are displayed in table I and II.…”