Three flavor neutrino oscillation constraints from accelerator, reactor, atmospheric and solar neutrino experiments

Abstract

We discuss constraints on three flavor neutrino mixings from the accelerator and reactor experiments, the Kamiokande multi-GeV data, and the solar neutrino observations. The LSND result is excluded at 90\%CL by the constraints imposed by all the data of reactor and accelerator experiments and the Kamiokande multi-GeV data if the mass scale required for the solution to the solar neutrino problem is hierarchically small. The region of a set of the effective two-flavor mixing parameters ($\Delta m^2$, $\sin^22\theta$) is given for the channel $\nu_\mu\rightarrow\nu_e$ which is allowed at 90\%CL by the multi-GeV Kamiokande data alone.