Pragmatic view of short-baseline neutrino oscillations

Abstract

We present the results of global analyses of short-baseline neutrino oscillation data in $3+1$, $3+2$ and $3+1+1$ neutrino mixing schemes. We show that the data do not allow us to abandon the simplest $3+1$ scheme in favor of the more complex $3+2$ and $3+1+1$ schemes. We present the allowed region in the $3+1$ parameter space, which is located at $\ensuremath{\Delta}{m}_{41}^{2}$ between 0.82 and $2.19\text{ }\text{ }{\mathrm{eV}}^{2}$ at $3\ensuremath{\sigma}$. The case of no oscillations is disfavored by about $6\ensuremath{\sigma}$, which decreases dramatically to about $2\ensuremath{\sigma}$ if the Liquid Scintillating Neutrino Detector (LSND) data are not considered. Hence, new high-precision experiments are needed to check the LSND signal.