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arXiv 1407.3274hep-phhep-ex
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轻子CP破坏敏感性的再评价

Reassessing the sensitivity to leptonic CP violation

Mattias Blennow, Pilar Coloma, Enrique Fernandez-Martinez

摘要:

本文讨论了确定中微子振荡实验对CP破坏灵敏度的一般方法的有效性。通过蒙特卡罗模拟对几个实验装置进行了明确的检验统计量校准。我们发现,从$χ^2$分布与一个自由度的显着偏差发生与低灵敏度$δ$的实验设置。特别地,当$δ$在给定置信水平下被约束到的允许区域与整个允许范围相当时,违反了变量清单的循环性质和Wilk定理的前提。这导致检验统计量的值显著低于该置信水平下的$χ^2$分布。另一方面,对于可以对$δ$施加更好约束的设施,变量的循环性质被隐藏,并且随着设施潜力的提高,检验统计量的值首先变得略高于然后渐近地接近$χ^2$分布。符号退化的作用也进行了讨论。

英文摘要:

We address the validity of the usual procedure to determine the sensitivity of neutrino oscillation experiments to CP violation. An explicit calibration of the test statistic is performed through Monte Carlo simulations for several experimental setups. We find that significant deviations from a $χ^2$ distribution with one degree of freedom occur for experimental setups with low sensitivity to $δ$. In particular, when the allowed region to which $δ$ is constrained at a given confidence level is comparable to the whole allowed range, the cyclic nature of the variable manifests and the premises of Wilk's theorem are violated. This leads to values of the test statistic significantly lower than a $χ^2$ distribution at that confidence level. On the other hand, for facilities which can place better constraints on $δ$ the cyclic nature of the variable is hidden and, as the potential of the facility improves, the values of the test statistics first become slightly higher than and then approach asymptotically a $χ^2$ distribution. The role of sign degeneracies is also discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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