F-理论中的味层次
Flavor Hierarchy From F-theory
摘要：
它最近已被证明，F-理论为基础的建设提供了一个潜在的有前途的途径工程大统一模型下降到MSSM。在本说明中，我们表明，在背景通量的存在下，这些模型自动实现分级汤川矩阵的夸克和轻子部门。在首阶，存在一个U（1）对称性，它与膜交点处的内部全纯坐标的相位旋转有关，导致秩为1的Yukawa矩阵。来自背景通量变化的内波函数的次级修正产生了对U（1）的微小违反，导致了等级汤川结构，让人想起Froggatt-Nielsen机制。这种微扰的展开参数是α_（GUT）^（1/2）。此外，我们还自然地得到了一个具有V_（1/2）~ V_（21）~ α，V_（23）~ V_（32）~ α ^（2），V_（13）~ V_（31）~ α ^（3）的分层CKM矩阵，其中α ~ α_（GUT）^（1/2）与观测结果非常吻合。
英文摘要：
It has recently been shown that F-theory based constructions provide a potentially promising avenue for engineering GUT models which descend to the MSSM. In this note we show that in the presence of background fluxes, these models automatically achieve hierarchical Yukawa matrices in the quark and lepton sectors. At leading order, the existence of a U(1) symmetry which is related to phase rotations of the internal holomorphic coordinates at the brane intersection point leads to rank one Yukawa matrices. Subleading corrections to the internal wave functions from variations in the background fluxes generate small violations of this U(1), leading to hierarchical Yukawa structures reminiscent of the Froggatt-Nielsen mechanism. The expansion parameter for this perturbation is in terms of alpha_(GUT)^(1/2). Moreover, we naturally obtain a hierarchical CKM matrix with V_(12) ~ V_(21) ~ epsilon, V_(23) ~ V_(32) ~ epsilon^(2), V_(13) ~ V_(31) ~ epsilon^(3), where epsilon ~ alpha_(GUT)^(1/2), in excellent agreement with observation.
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。
