The LSND Experiment and the Zee Model

Abstract

A recent experiment LSND at Los Alamos has provided\cite{1} an indication of $\overlineν_μ - \overlineν_e$ oscillations with $Δm^2$ of order 1ev$^2$ or greater and $\sin^2 2 θ_{e μ}$ between $2 \times 10^{-3}$ and $10^{2}$. Such a value of $Δm^2$ for $ν_μ - ν_e$ oscillations was not expected in the standard see-saw model\cite{2} suggested by SO(10) with a large mass hierarchy because it leads to too large a value of $m(ν_τ)$ to fit cosmological constraints. Furthermore within that model the LSND result is inconsistent with the indications of oscillations from both atmospheric neutrinos\cite{3} and solar neutrinos.\cite{4}