arXiv 0704.20932007-04hep-ph

μ子衰变和发射中微子类型的新参数化。II

New Parameterization in Muon Decay and the Type of Emitted Neutrino. II

Masaru Doi, Tsuneyuki Kotani, Hiroyuki Nishiura

备注：: 21 pages
发表信息：: Prog.Theor.Phys.118:1069-1086, 2007; Erratum-ibid.122:805-805,2009
DOI：: 10.1143/PTP.118.1069 10.1143/PTP.122.805

摘要：

在以前的论文中，提出了一套新的参数来取代米歇尔参数，以分析数据的μ子衰变$μ^{+} \to e^{+}ν_{e}\bar{ν_μ}$。$(V-A)$和具有有限中微子质量的$(V+A)$带电电流都被用来研究这种衰变。本文将这种参数化推广到更一般的形式，并讨论了一种数据分析方法（最小二乘法），以确定$(V+A)$流的贡献率。我们发现存在一种简单的形式，其中参数集与物理量相关。它表明，米歇尔参数是从这个简单的形式，通过重新安排一项得到的其他集合之一。我们推导出的条件，以获得相同的信息，关于未知的物理量的情况下，数据分别使用这些简单的和重新排列的形式进行分析。我们发现，由于等效条件非常微妙，QED辐射修正需要仔细处理，因此这些分析可能会得到不同的结果。我们提出了一个一致的公式进行数据分析。将用简单形式进行最小二乘拟合得到的值与用标准模型预测得到的值进行比较是有用的，因为预计不会有很大的差异，特别是在马约拉纳中微子的情况下。最后指出了我们在前一篇文章中提出的确定中微子类型的方法是不正确的。

英文摘要：

In a previous paper, new sets of parameters to replace the Michel parameters were proposed to analyze data for the muon decay $μ^{+} \to e^{+}ν_{e}\bar{ν_μ}$. Both $(V-A)$ and $(V+A)$ charged currents with finite neutrino mass have been used to study this decay. In the present paper, this parameterization is extended to a more general form, and a method for data analysis (least squares) is discussed for the propose of determining the rate of contribution from the $(V+A)$ current. We find that there is a simple form in which the set of parameters is related primitively to the physical quantities. It is shown that the Michel parameters are one of the other sets that are obtained from this simple form by rearranging one term. We derive the condition to obtain the same information regarding unknown physical quantities in the case that the data are analyzed using these simple and rearranged forms separately. We find that there is some possibility to get different results from these analyses, because the equivalent condition is very delicate and the QED radiative corrections should be treated carefully. We propose a consistent formula for data analysis. It is useful to compare the value obtained in the least squares fit using the simple form with that obtained using the prediction of the standard model, because a large difference is not expected, especially in the case of the Majorana neutrino. Finally, we point out that the method we proposed to determine the type of neutrino in the previous paper is incorrect.

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。

摘要：

英文摘要：

相关论文