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arXiv 2006.09384hep-phhep-ex
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不同参数化对中微子振荡CP破坏解释的影响

The Impact of Different Parameterizations on the Interpretation of CP Violation in Neutrino Oscillations

Peter B. Denton, Rebekah Pestes

摘要:

在接下来的实验中,我们将以很高的精度探测轻子质量矩阵中的CP破坏。振荡中存在的CP破坏的量可以以多种方式量化,并且通常由轻子混合矩阵的标准PDG定义中的复相位$δ_{\rm PDG}$参数化。还有轻子混合矩阵的附加参数化。通过各种示例,我们探索了在给定当前数据的情况下,当使用参数化因变量(例如$δ$)时,不同的参数化如何导致不同的结论。我们演示了如何小的$|U_{e3}|$管理这些结果的规模。然后,我们证明了$δ$可以误导,并认为Jarlskog是最干净的手段,提出的CP破坏的轻子部门的金额。我们还确认,在考虑不同的参数化,标准的PDG参数化有一些方便的功能。

英文摘要:

CP violation in the lepton mass matrix will be probed with good precision in upcoming experiments. The amount of CP violation present in oscillations can be quantified in numerous ways and is typically parameterized by the complex phase $δ_{\rm PDG}$ in the standard PDG definition of the lepton mixing matrix. There are additional parameterizations of the lepton mixing matrix as well. Through various examples, we explore how, given the current data, different parameterizations can lead to different conclusions when working with parameterization dependent variables, such as $δ$. We demonstrate how the smallness of $|U_{e3}|$ governs the scale of these results. We then demonstrate how $δ$ can be misleading and argue that the Jarlskog is the cleanest means of presenting the amount of CP violation in the lepton sector. We also confirm that, among the different parameterizations considered, the standard PDG parameterization has a number of convenient features.

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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