Atmospheric neutrinos with three flavor mixing

Abstract

We analyze the atmospheric neutrino data in the context of three flavor neutrino oscillations taking account of the matter effects in the earth. With the hierarchy among the vacuum mass eigenvalues ${\mu }_3^2\gg {\mu }_2^2\ge {\mu }_1^2$, the solution of the atmospheric neutrino problem depends on ${\delta }_{31}={\mu }_3^2-{\mu }_1^2$ and the $13$ and $23$ mixing angles $\varphi$ and $\psi$. Whereas the sub-GeV atmospheric neutrino data imposes only a lower limit on ${\delta }_{31}>10^{-3}e{V}^2$, the zenith angle dependent suppression observed in the multi-GeV data limits ${\delta }_{31}$ from above also. The allowed regions of the parameter space are strongly constrained by the multi-GeV data. Combined with our earlier solution to the solar neutrino problem which depends on ${\delta }_{21}={\mu }_2^2-{\mu }_1^2$ and the $12$ and $13$ mixing angles $\omega$ and $\varphi$, we have obtained the ranges of values of the five neutrino parameters which solve both the solar and the atmospheric neutrino problems simultaneously.

21 pages Revtex, 7 figures as 7 ps files, Zenith angle binned multi-Gev analysis redone with the Kamiokande detector efficiencies included

References in corpus (9)

• Evidence for ${\bar{\nu }}_{\mu }\to {\bar{\nu }}_e$ Oscillations from the LSND Experiment at LAMPF
• Atmospheric neutrino flux above 1 GeV
• Calculation of the Flux of Atmospheric Neutrinos
• Matter-enhanced Three-flavor Oscillations and the Solar Neutrino Problem
• Accelerator, reactor, solar and atmospheric neutrino oscillation: beyond three generations
• Three-flavor atmospheric neutrino anomaly
• Can a ``natural'' three-generation neutrino mixing scheme satisfy everything?
• Solar and atmospheric neutrino oscillations with three flavours
• Accelerator, reactor and atmospheric neutrino data: a three flavour oscillation analysis

Cited by in corpus (11)

• Comparing and contrasting the ${\nu }_{\mu }\to {\nu }_{\tau }$ and ${\nu }_{\mu }\to {\nu }_s$ solutions to the atmospheric neutrino problem with SuperKamiokande data
• Matter Effects in Four-Neutrino Mixing
• Three flavor neutrino oscillation analysis of the Superkamiokande atmospheric neutrino data
• Neutrinos from Stellar Collapse: Effects of flavour mixing
• Getting the Most From Atmospheric Neutrinos
• Hierarchical Four-Neutrino Oscillations With a Decay Option
• Three flavor implications of CHOOZ result
• Neutrinos from Stellar Collapse: Comparison of signatures in water and heavy water detectors
• Constraints on mixing angles of Majorana neutrinos
• Neutrinos from Stellar Collapse: Comparison of the effects of three and four flavour mixings
• Matter vs. vacuum oscillations at long baseline accelerator neutrino experiments