Title: A Bayesian comparison of U(1) lepton flavour models Show Chinese title

Title: U(1)轻子味模型的贝叶斯比较

Abstract: Whether the anarchical ansatz or more symmetric structures best describe the neutrino parameters is a long standing question that underwent a revival of interest after the discovery of a non- vanishing reactor angle and the indication of a non-maximal atmospheric angle. In this letter, a Bayesian statistical approach is adopted in order to analyse and compare the two hypotheses within the context of U(1) flavour models. We study the constraints on individual model parameters and perform model comparison: the results elect constructions with built-in hierarchies among the matrix elements as preferred over the anarchical ones, with values of the evidence that depends slightly on whether the U(1) charges are also considered as free parameters or not, and on the priors used. Show Chinese abstract

Abstract: 是否无政府假设或更对称的结构最能描述中微子参数是一个长期存在的问题，在发现非零反应堆角和大气角非最大化的迹象后再次引起关注。在本通信中，采用贝叶斯统计方法在U(1)味模型的背景下分析和比较这两种假设。我们研究了单个模型参数的约束并进行了模型比较：结果表明，具有矩阵元素内在层次结构的构造比无政府构造更受青睐，证据值略微取决于是否将U(1)电荷也视为自由参数以及使用的先验分布。