Reactor Measurement of theta₁2; Principles, Accuracies and Physics Potentials

We discuss reactor measurement of \theta_{12} which has a potential of reaching the ultimate sensitivity which surpasses all the methods so far proposed. The key is to place a detector at an appropriate baseline distance from the reactor neutrino source to have an oscillation maximum at around a peak energy of the event spectrum in the absence of oscillation. By a detailed statistical analysis the optimal distance is estimated to be \simeq (50-70) km x [8 x 10^{-5} eV^2/\Delta m^2_{21}], which is determined by maximizing the oscillation effect in the event number distribution and minimizing geo-neutrino background contamination. To estimate possible uncertainty caused by surrounding nuclear reactors in distance of \sim 100 km, we examine a concrete example of a detector located at Mt. Komagatake, 54 km away from the Kashiwazaki-Kariwa nuclear power plant in Japan, the most powerful reactor complex in the world. The effect turns out to be small. Under a reasonable assumption of systematic error of 4% in the experiment, we find that sin^2{\theta_{12}} can be determined to the accuracy of \simeq 2% (\simeq 3%), at 68.27% CL for 1 degree of freedom, for 60 GW_th kton yr (20 GW_th kton yr) operation. We also discuss implications of such an accurate measurement of \theta_{12}.