CP对称性与轻子味混合

发布时间：2018-06-04 04:31

本文选题：中微子 + 味物理　；参考：《中国科学技术大学》2017年博士论文

【摘要】：本论文系统的分析了中微子是马约拉纳粒子时遗留CP对称性与轻子味混合之间的一般关系,给出了一套普适的处理方法。我们将其应用到具体的例子当中并对中微子振荡、无中微子双贝塔衰变和正反物质不对称等唯象学现象进行了讨论。首先我们在带电轻子对角基下讨论了中微子的遗留CP对称性,CP对称变换可以由轻子混合得到,反之轻子混合可以由遗留CP重建。对于中微子是马约拉纳粒子的情况,存在四个使得体系保持不变的CP变换,这四个CP可以由轻子混合矩阵构造。我们给出了CP矩阵最一般的参数化方法,并给出了混合矩阵的表达式。如果体系保留其中一个CP,可以推出轻子混合矩阵依赖于三个实的自由参数;如果体系保留两个CP,可以推出轻子混合矩阵依赖于一个实的自由参数:如果四个CP全部保留,轻子混合矩阵可以由CP对称性完全固定。对于每种情况,文中都给出了唯像学预言并对狄拉克C P相位守恒或最大破坏的条件进行了讨论。基于对遗留CP与轻子味混合之间一般的讨论,文中研究了保留一个CP的情况。我们首先考虑了 CP矩阵中含有零元素的情况并对其进行了系统的分类,其中的一种情况相当于对μ-τ CP对称性的一个推广,我们称这种情况为广义μ-τCP对称。对于CP矩阵中没有零元素的情况,我们考虑了 CP矩阵中每个元素的模都为1/(?)的这样一个例子并将之称为民主CP对称。对于每种情况,我们都给出了实验上可以检验的混合参数之间的关联,并给出了中微子振荡和无中微子双贝塔衰变等唯象学预言。最后,我们对正反物质不对称与CP对称性的关系给出了最一般的讨论。对于保留四个CP的情况,正反物质不对称无法产生,我们分别系统的研究了保留一个CP和保留两个CP的情况,对于每一种情况的遗留CP的形式作了完整的分类并且发现R矩阵受到CP对称性的强烈限制,结果正反物质不对称与轻子混合参数PMNS参数具有紧密的联系。
[Abstract]:In this paper, we systematically analyze the general relationship between CP symmetry and light taste mixing when neutrinos are Majoorana particles, and give a set of general treatment methods. We apply it to concrete examples and discuss phenomenological phenomena such as neutrino oscillation, non-neutrino double beta decay and positive antimatter asymmetry. First, we discuss that the CP symmetry transformation of neutrinos can be obtained by mixing leptons under the charged lepton diagonal basis, whereas the lepton mixing can be reconstructed by residual CP. For the case where the neutrino is a Majoorana particle, there are four CP transformations which make the system invariable, and the four CPs can be constructed from the lepton mixed matrix. We give the most general parameterization method of CP matrix and the expression of mixed matrix. If the system retains one of the CPs, it can be deduced that the lepton mixing matrix depends on three real free parameters; if the system retains two CPs, it can be deduced that the lepton mixing matrix depends on one real free parameter: if all the four CPs are retained, The lepton mixing matrix can be completely fixed by CP symmetry. For each case, phenomenological predictions are given and the conditions for Dirac C P phase conservation or maximum damage are discussed. Based on the general discussion of the mixture of residual CP and lepton flavor, the retention of a CP is studied. We first consider the case of zero elements in CP matrix and classify them systematically. One of the cases is equivalent to a generalization of 渭-蟿 CP symmetry, which we call the generalized 渭蟿 CP symmetry. For the case where there are no zero elements in the CP matrix, we consider that the module of each element in the CP matrix is 1 / 1 / 0) An example of this is called democratic CP symmetry. For each case, we give the correlation between the mixed parameters that can be tested experimentally, and the phenomenological predictions such as neutrino oscillation and neutrino free double beta decay. Finally, we give a general discussion on the relationship between positive antimatter asymmetry and CP symmetry. For the case of preserving four CP, the asymmetry of positive antimatter can not be produced, so we have systematically studied the case of preserving one CP and preserving two CP respectively. The form of residual CP in each case is classified completely and it is found that the R matrix is strongly restricted by CP symmetry. The results show that the positive antimatter asymmetry is closely related to the PMNS parameter of lepton mixing parameter.
【学位授予单位】：中国科学技术大学
【学位级别】：博士
【学位授予年份】：2017
【分类号】：O572.321

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