论文标题
质量矩阵的风味混合和重建的结构
The Structure of Flavor Mixing and Reconstruction of the Mass Matrix
论文作者
论文摘要
EW对称性破裂后,通过双线性分解来研究费米的风味结构,并探索了分解的矩阵在风味混合和质量产生中的作用。结果表明,风味混合可以作为一个独立的问题来解决。在新的Yukawa的基础上,风味混合的最小参数化被实现,其中包含两个相对相和两个自由$ SO(2)_l $旋转角度。在Lepton和夸克部门都检查了风味混合结构的有效性。在风味混合的分解下,费米昂质量矩阵在层次结构限制下重建。具有等于1的所有元素的平坦质量基质自然而然地源于同源性在上型和下型费米亚质量矩阵之间存在的要求。还讨论了一些平坦基质和风味破裂的暗示。
The Fermion flavor structure is investigated by bilinear decomposition of the mass matrix after EW symmetry breaking, and the roles of factorized matrices in flavor mixing and mass generation are explored. It is shown that flavor mixing can be addressed as an independent issue. On a new Yukawa basis, the minimal parameterization of flavor mixing is realized containing two relative phases and two free $SO(2)_L$ rotation angles. The validity of the flavor mixing structure is checked in both the lepton and quark sectors. Under the decomposition of flavor mixing, fermion mass matrices are reconstructed under the hierarchy limit. A flat mass matrix with all elements equal to 1 arises naturally from the requirement that homology exists between up-type and down-type fermion mass matrices. Some hints of a flat matrix and flavor breaking are also discussed.