Determination of Neutrino Mass Hierarchy and Theta₁3 with a Remote Detector of Reactor Antineutrinos

We describe a method for determining the hierarchy of the neutrino mass spectrum and theta_13 through remote detection of antineutrinos from a nuclear reactor. This method utilizing a single, 10-kt scintillating liquid detector at a distance of 50-64 kilometers from the reactor complex measures mass-squared differences involving nu_3 with a one (ten) year exposure provided sin2(2theta_13)>0.05 (0.02). Our technique applies the Fourier transform to the event rate as a function of neutrino flight distance over energy. Sweeping over a relevant range of delta-m2 resolves separate spectral peaks for delta-m2_31 and delta-m2_32. For normal (inverted) hierarchy the absolute value of delta-m2_31 is greater (lesser) than the absolute value of delta-m2_32. This robust method requires a detector energy resolution of 3.5% divided by the square root of the scintillation energy.