Pragmatic view of short-baseline neutrino oscillations

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 m₄₁^2 between 0. 82 and 2. 19 eV^2 at 3. The case of no oscillations is disfavored by about 6, which decreases dramatically to about 2 if the Liquid Scintillating Neutrino Detector (LSND) data are not considered. Hence, new high-precision experiments are needed to check the LSND signal.