Phenomenology related to neutrino oscillation experiments in the near future

(1)在一般情况下，如果有多个反应堆，并且至少有一个近探测器和一个远探测器，那么对sin ^2 2θ_的灵敏度<13>仅通过速率分析进行了解析讨论。只要有一个近和一个远探测器，由于存在多个反应堆的不确定性是无关紧要的。此外，通过给出KASKA项目的等值线图，数值讨论了灵敏度对近、远探测器位置的依赖性。(2)将上述分析推广到频谱分析的情况，并且得出结论，即使使用频谱分析，也很难显著提高灵敏度，除非仓间不相关的系统误差变得非常小。(3)研究结果表明，对θ_1的灵敏度<13>几乎由不相关的系统误差决定，实验精度受这些因素的限制。为了克服这个问题，提出了一种新的想法，在一个站点放置多个探测器。(4)通过在（sin^2 2θ_，1/s^223）平面上引入一个新的坐标图<13>，讨论了在T2 K实验（从东海到神冈）中完成中微子和反中微子在振荡最大值处的测量后，还需要什么样的进一步实验来解决参数简并问题。(5)指出利用1000 km以上的长基线实验来检验偏离标准物质效应的现象，将是寻找新物理的有效手段，在目前和今后的长基线实验中，获得新物理的特征是可能的。在讨论的过程中，将Kimura等人关于振荡概率的形式化推广到新物理的情形，得到了振荡概率的解析表达式. al.to

(1) In the general case where there are more than one reactor and there are at least one near and one far detectors, sensitivity to sin^2 2θ_<13> was discussed analytically with a rate analysis only. As long as there are one near and one far detectors, the uncertainty due to existence of multiple reactors turns out to be irrelevant. Furthermore, the dependence of sensitivity on the locations of the near and far detectors was discussed numerically by giving the contour plot in the case of the KASKA project. (2) The above analysis was generalized to the case with a spectrum analysis, and it was concluded that even with a spectrum analysis it would be difficult to improve the sensitivity significantly unless the bin-to-bin uncorrelated systematic error becomes very small. (3) It has been known from the results of our research that the sensitivity to θ_<13> is almost determined by the uncorrelated systematic errors and experimental precision is bounded by these factors. To overcome this problem, a new idea was proposed to put multiple detectors at one site. (4) By introducing a new plot in the (sin^2 2θ_<13>, 1/s^223) plane, it was discussed what kind of further experiments would be needed to solve parameter degeneracy after neutrino and anti-neutrino measurements are done at the oscillation maximum at the T2K experiment (from Tokai to Kamioka). (5) It was pointed out that testing deviation from the standard matter effect by long baseline experiments with the baseline more than 1000km would be effective to search for new physics and that it would be possible to obtain signature of new physics at the present and future long baseline experiments. In the process of this discussion, the formalism by Kimura et al.to get the oscillation probabilities was generalized to the case with new physics, and the analytic formula for the oscillation probability was obtained in a nice way.