Phenomenology related to neutrino oscillation experiments in the near future

(1)在一般情况下，如果有一个以上的反应堆，并且至少有一个近探测器和一个远探测器，则仅用速率分析来解析地讨论对SIN^2 2θ_&lt；13的灵敏度。只要有一个近探测器和一个远探测器，多个反应堆的存在带来的不确定性就变得无关紧要了。在此基础上，以Kaska方案为例，给出了等值线图，数值讨论了近、远探测器位置对灵敏度的依赖关系。(2)将上述分析推广到使用频谱分析的情况，并得出结论：即使使用频谱分析，也很难显著提高灵敏度，除非面元间不相关的系统误差变得非常小。(3)从我们的研究结果可知，对θ_&lt；13&gt；的灵敏度几乎是由不相关的系统误差决定的，实验精度受这些因素的限制。为了克服这一问题，提出了在一个地点放置多个探测器的新想法。(4)通过在(SIN^2 2θ_&lt；13&gt；，1/S^223)平面上引入一个新的标图，讨论了在T2K实验(从东海到神冈)中微子和反中微子在振荡极大处进行测量后，还需要进行什么样的进一步实验来解决参数简并问题。(5)指出在基线大于1000公里的长基线实验中测试与标准物质效应的偏差将是寻找新物理的有效方法，并有可能在目前和未来的长基线实验中获得新物理的特征。在讨论过程中，将Kimura等人给出的振荡态概率公式推广到新物理情形，得到了振荡态几率的解析公式。

(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.