Are four neutrino models ruled out?

Abstract

We show explicitly that four neutrino models of the 2+2 variety still provide an acceptable global fit to the solar, atmospheric and LSND neutrino data. The goodness of fit, defined in the usual way, is found to be 0.26 for the simplest such model. That is, we find that there is a 26% probability of obtaining a worse global fit to the neutrino data We also make some specific comments on the paper, ``Ruling out four-neutrino oscillation interpretations of the LSND anomaly'' [hep-ph/0207157], and explain why they reached drastically different conclusions.