标题： 中微子质量起源与额外维中的风味QCD轴子 显示英文标题

标题： Neutrino Mass Origin and Flavored-QCD axion in an Extra-Dimension

摘要： 我们提出一个统一的味模型，在额外维设置中的两个3-膜上包含标准模型场，结合了$\Gamma_N\times U(1)_X$对称性，其中模场和标量场负责对称性破缺。 当紧致化到四维时，Yukawa耦合最初以具有质量维度的模形式表示，被归一化为符合规范四维理论，Yukawa系数为绝对值为1的复数。 我们表明，该模型自然解释了夸克和轻子的质量和混合层次，解决了强CP问题，提供了层次问题的自然解决方案，并能内在地满足无轴子域墙问题。 $U(1)_X$混合引力反常自由条件要求电中性镜像体费米子与3-膜上的正常中微子场耦合，这与边界条件一致。 因此，我们展示了一种生成轻子中微子质量的机制，类似于Weinberg算符，通过在两个3-膜之间传递$U(1)_X$破缺的信息。 $U(1)_X$破缺的尺度从中微子数据估计约为$10^{15}$GeV，导致QCD轴子质量约为$2.5\times10^{-9}$eV。 通过数值分析，我们证明该模型得出的结果与当前关于夸克和轻子的实验数据一致，并且还对中微子提供了预测。 显示英文摘要

摘要： We propose a unified flavor model with the Standard Model fields on two 3-branes within an extra-dimensional setup, incorporating $\Gamma_N\times U(1)_X$ symmetry with a modulus and scalar field responsible for symmetry breaking. When compactified to four dimensions, Yukawa couplings, initially expressed as modular forms with mass dimensions, are normalized to conform to canonical four-dimensional theory, with the Yukawa coefficients being complex numbers of unit absolute value. We show that this model naturally explains the mass and mixing hierarchies of quarks and leptons, solves the strong CP problem, provides a natural solution to the hierarchy problem, and can inherently satisfy no axionic domain-wall problem. The $U(1)_X$ mixed gravitational anomaly-free condition necessitates that electrically neutral mirror bulk fermions couple to the normal neutrino field on the 3-brane, consistent with the boundary condition. Consequently, we demonstrate a mechanism for generating light neutrino masses, similar to the Weinberg operator, by transmitting the information of $U(1)_X$ breakdown between the two 3-branes. The scale of $U(1)_X$ breaking is estimated from neutrino data to be around $10^{15}$ GeV, leading to a QCD axion mass of approximately $2.5\times10^{-9}$ eV. Through numerical analysis, we demonstrate that the model yields results consistent with current experimental data on quarks and leptons, and it also provides predictions for neutrinos.