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arXiv 1403.6136hep-ph
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$\mathbf{θ_{13}^{}}$和风味环

$\mathbf{θ_{13}^{}}$ and The Flavor Ring

Jennifer Kile, M. Jay Pérez, Pierre Ramond, Jue Zhang

摘要:

本文给出了标准模型的Dirac Yukawa矩阵的数值搜索结果,该结果与夸克和轻子质量及其混合角一致。我们假设一个对角上夸克矩阵,自然在$\bs{\m Z_7 \rtimes \m Z_3}$,双极大或三双极大跷跷板混合,和$SU(5)$统一联系下夸克和带电轻子Dirac Yukawa矩阵使用Georgi-Jarlskog机制. $θ_{13}$的测量值需要一个非对称的下夸克汤川矩阵。满足测量值的$θ_{13}$和电子质量限制了解决方案的数量,潜在的重要性,最近的测量反应器的角度。

英文摘要:

We present the results of a numerical search for the Dirac Yukawa matrices of the Standard Model, consistent with the quark and lepton masses and their mixing angles. We assume a diagonal up-quark matrix, natural in $\bs{\m Z_7 \rtimes \m Z_3}$, Bimaximal or Tri-bimaximal seesaw mixing, and $SU(5)$ unification to relate the down-quark and charged lepton Dirac Yukawa matrices using Georgi-Jarlskog mechanisms. The measured value of $θ_{13}$ requires an asymmetric down-quark Yukawa matrix. Satisfying the measured values of both $θ_{13}$ and the electron mass restricts the number of solutions, underlying the importance of the recent measurement of the reactor angle.

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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