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arXiv 2201.05264hep-ph
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味混合的结构与质量矩阵的重构

The Structure of Flavor Mixing and Reconstruction of the Mass Matrix

Guojun Xu, Jingjun Zhang, Chenzi Liao, Ying Zhang

AI总结:

本文通过电弱对称性破缺后质量矩阵的双线性分解研究费米子味结构,提出包含两个相对相位和两个自由旋转角的最小味混合参数化方案,并在层级极限下重构质量矩阵,自然得出全1平坦质量矩阵。

摘要:

通过电弱对称性破缺后对质量矩阵的双线性分解,研究了费米子味结构,并探讨了因子化矩阵在味混合和质量生成中的作用。结果表明,味混合可以作为一个独立问题来处理。在新的汤川基上,实现了味混合的最小参数化,包含两个相对相位和两个自由的 $SO(2)_L$ 旋转角。在轻子和夸克部分均检验了该味混合结构的有效性。在味混合分解下,于层级极限下重构了费米子质量矩阵。所有元素均等于1的平坦质量矩阵,自然产生于上型与下型费米子质量矩阵之间存在同源性的要求。此外,还讨论了平坦矩阵和味破缺的一些线索。

英文摘要:

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.

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。

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