Combining Neutrino Oscillation Experiments with the Feldman-Cousins Method

Abstract

In this article we describe how two or more experimental results can be combined within the procedure of Feldman and Cousins, to provide combined confidence limits on the physical parameters of interest. We demonstrate the technique by combining the recent electron neutrino appearance results from T2K and MINOS. Our best fit point is sin^{2}2\theta_{13} = 0.08 (0.11) and \delta = 1.1 (2.0) \pi; in addition we exclude sin^{2}2\theta_{13}=0 at 2.7 \sigma (2.8 \sigma) for the normal (inverted) neutrino mass hierarchy.