We analyse the quark mass hierarchy and CKM matrix using the universal Yukawa coupling model with small violations precisely. We estimate the ranges of the values of 8in our quark mass matrices satisfying quark mass ratios and CKM matrix, where φ 2 , φ 3 are phases. Without these phases, the solution satisfying quark mass ratios and CKM matrix is not obtained. These parameters obtained can explain the CP violation effects.

We analyze the atmospheric neutrino experiments of SuperKamiokande including zenith angle dependences using the three-flavor neutrino framework with the hierarchy m 2 1 ≈ m 2 2 m 2 3 . Taking into account the terrestrial, solar neutrino experimental data and the atmospheric neutrino experiments, including the sub-GeV and multi-GeV data in Su-perKamiokande, a large angle solution in the solar neutrino experiments is favored and the range of the mass parameter ∆m 2 23 is restricted in the range 0.08 eV 2 -2 eV 2 . Allowed regions of mixing parameters are θ 13 < 4 • , 27 • < θ 23 < 32 • for ∆m 2 23 = 1 eV 2 and θ 13 < 3 • , 28 • < θ 23 < 33 • for ∆m 2 23 = 0.1 eV 2Downloaded from 148 T. Teshima and T. Sakai m 3 partially including the zenith angle dependences. In this work, we perform the full analysis of zenith angle dependences in a SuperKamiokande atmospheric neutrino experiment 2) and analysis of Chooz data 11) in terrestrial experiment.In the three-flavor neutrino framework with the hierarchy m 1 ≈ m 2 m 3 , there are 5 parameters, sin 2 2θ 12 , θ 13 , θ 23 , ∆m 2 12 = m 2 2 − m 2 1 and ∆m 2 23 = m 2 3 − m 2 2 , concerned with neutrino oscillation. For solar neutrino deficit, the MSW solution 13), 14), 12) taking into account the matter effects predicts the large angle solution sin 2 2θ 12 = 0.6-0.9, ∆m 2 12 = 4 × 10 −6 -7 × 10 −5 eV 2 and small angle solution sin 2 2θ 12 = 0.003-0.01, ∆m 2 12 = 3 × 10 −6 -1.2 × 10 −5 eV 2 for θ 13 = 0 • -20 • . These large angle and small angle solutions are merged for θ 13 = 25 • -50 • . The vacuum solution for solar neutrinos is obtained as ∆m 2 12 ∼ 10 −10 eV 2 . 15) In terrestrial neutrino experiments, Fogli et al. 16) have thoroughly analyzed these experimental data and obtained the allowed regions in the tan θ 2 13 -tan 2 θ 23 plane for various values of the mass parameter ∆m 2 23 . We also analyzed the terrestrial neutrino experiments, 12) in which we have not included the Chooz experiment, and obtained results similar to those of Fogli et al. The allowed region in the tan 2 θ 13 -tan 2 θ 23 plane so obtained, for example for ∆m 2 23 = 0.02 eV 2 , is tan 2 θ 13 > 25, tan 2 θ 13 < 0.04 for all values of tan 2 θ 23 . For higher values of ∆m 2 23 , the allowed region in the tan 2 θ 13 -tan 2 θ 23 plane is more restricted, and for lower values, the allowed region spreads out, and for ∆m 2 23 < 0.001 eV 2 there is no restriction in the tan 2 θ 13 -tan 2 θ 23 plane. Atmospheric neutrino experiments have been analyzed in the three-flavor neutrino framework with the neutrino mass hierarchy m 1 ≈ m 2 m 3 by many authors. 17), 18), 12) The atmospheric neutrino anomaly of Kamiokande experiments 19) has been explained by ν µ ↔ ν τ oscillation with ∆m 2 23 ∼ 10 −2 -10 −1 eV 2 . These discussions contain the zenith angle dependences of sub-GeV and/or multi-GeV Kamiokande data. The zenith angle dependences in recent SuperKamiokande atmospheric experiments 1), 2) have decreasing character not only for the multi-GeV experiment but also for sub-GeV experiment. We have analyzed these depe...

We analyze the atmospheric neutrino experiments of Super-Kamiokande (830-920 live days) using the three-flavor neutrino framework with the mass hierarchy m_1 nearly equal m_2 << m_3. We study the sub-GeV, multi- GeV neutrinos and upward through-going and stopping muons zenith angle distributions taking account of the Earth matter effects thoroughly. We obtain the allowed regions of mass and mixing parameters Delm^2_{23}, theta_{13} and theta_{23}. Delm^2_{23} is restricted to 0.002-0.01eV^2 and theta_{13}<13degrees, 35degrees

We analyzed the solar, terrestrial and atmospheric neutrinos experiments using the three-flavor neutrino framework and got the allowed regions for param- is favored than the small angle slution from the analysis of zenith angle dependence in atmospheric neutrino sub-GeV experiment.

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