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arXiv 1801.04051hep-phhep-ex
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从多个相同探测器实验中提取中微子混合参数

Extraction of neutrino mixing parameters from experiments with multiple identical detectors

Fu-Guang Cao, William S. Marks

摘要:

大亚湾合作组中微子振荡混合角$θ_{13}$测量分析中所用的统计方法是基于$χ^2$函数的变分最小化。就这两项试验而言,需要确定的参数数目,均多于现有的数据点数目(大亚湾为20对6,而再生能源研究所则为12对2)。虽然报告了混合角和归一化因子的结果,但在其出版物中省略了其他参数(拉伸因子)的结果。存在来自$χ^2$函数的最小化的多组参数。我们调查的敏感性提取的混合角对这种非唯一性的最小化结果的大亚湾数据使用两种方法的最小化。我们报告所有参数的结果,包括物理兴趣和拉动因素。混合角和归一化因子的计算结果与大亚湾合作组的报告一致。此外,我们提出的混合角和归一化因子的空间中的置信水平轮廓图。我们还提出了结果拟合使用减少$χ^2$功能与更少的参数比大亚湾合作所采用的。

英文摘要:

The statistical method used in the analyses of measurements of neutrino oscillation mixing angle $θ_{13}$ by the Daya Bay Collaboration is based on variational minimization of a $χ^2$ function defined in terms of quantities of interest and pull factors which are introduced to deal with effects of systematic uncertainties. For both experiments, the number of parameters that need to be determined is great than the number of available data points (20 vs 6 for the Daya Bay and 12 vs 2 for the RENO). While the results for the mixing angle and the normalization factor were reported, results for the other parameters (pull factors) were omitted in their publications. There exist multiple sets of parameters from the minimization of the $χ^2$ function. We investigate the sensitivity of the extracted mixing angle on this non-uniqueness of minimization results for the Daya Bay data using two methods of minimization. We report results for all parameters, including those of physics interest and pull factors. The obtained results for the mixing angle and the normalization factor are in agreement with those reported by the Daya Bay Collaboration. Furthermore, we present plots of confidence level contours in the space of the mixing angle and normalization factor. We also present results from fittings using a reduced $χ^2$ function with fewer parameters than the one employed by the Daya Bay Collaboration.

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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