论文标题
不同参数化对中微子振荡中CP违规解释的影响
The Impact of Different Parameterizations on the Interpretation of CP Violation in Neutrino Oscillations
论文作者
论文摘要
Lepton质量基质中的CP违规将在即将进行的实验中进行良好的精度探测。振荡中存在的CP违规量可以通过多种方式量化，通常由复杂阶段$δ_ {\ rm pdg} $参数化，这是Lepton混合矩阵的标准PDG定义。同样还有Lepton混合矩阵的其他参数化。通过各种示例，我们探讨了鉴于当前数据，不同的参数化在使用参数化依赖性变量（例如$δ$）时会导致不同的结论。我们演示了$ | u_ {e3} | $的小度如何控制这些结果的规模。然后，我们证明了$δ$如何误导性，并认为jarlskog是呈现Lepton行业中CP违规数量的最清洁方法。我们还确认，在考虑的不同参数化中，标准PDG参数化具有许多方便的功能。
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.
