arXiv 1402.58342014-02hep-ph

SUSY SU（5）$\times S_{4}$ GUT费米子质量和混合伴随大$θ^{PMNS}_{13}$的味模型

SUSY SU(5) $\times S_{4}$ GUT Flavor Model for Fermion Masses and Mixings with Adjoint, Large $θ^{PMNS}_{13}$

Ya Zhao, Peng-Fei Zhang

备注：: 36 pages, 12 figures, major revison to the previous edition
DOI：: 10.1007/JHEP06(2016)032

摘要：

我们提出了一个基于超对称SU（5）大统一理论的$S_{4}$味模型。SU（5）中的第一代和第三代\textbf{10}维数表示都被指定为$S_{4}$的$1_{1}$。第二代\textbf{10}将成为$S_{4}$的$1_{2}$。单重态\textbf{1}和三代$\bar{\textbf{5}}$的右手中微子都被指定为$S_{4}$的$3_{1}$。两组flavon字段的VEV被允许有一个适度的层次结构，即$\langleΦ^ν\rangle \sim λ_{c}\langleΦ^{e}\rangle$。在中微子扇区中，首阶（LO）和次首阶（NNLO）都可以产生三双峰（TBM）混频。所有的上型夸克的质量都是在LO处得到的。我们还得到了底τ统一$m_τ=m_{b}$和流行的Georgi-Jarlskog关系$m_μ=3m_{s}$以及一个新的质量关系$m_{e}=\frac{8}{27}m_{d}$，其中新的Clebsch-Gordan（CG）因子来自伴随场$H_{24}$。GUT关系导致一个相当大的混合角$θ^{e}_{12} \sim θ_{c}$和正确的夸克混合矩阵$V_{CKM}$也可以在模型中实现。由此产生的CKM样的混合矩阵的带电轻子修改消失的$θ^ν_{13}$在TBM混合到一个大的$θ^{PMNS}_{13}\simeqθ_{c}/\sqrt{2}$，与实验结果非常吻合。需要狄拉克CP破坏相位$ϕ_{12}\simeq\pmπ/2$以使与$θ^ν_{12}$的偏差较小。我们还提出了一些唯象的数值结果预测的模型。

英文摘要：

We propose an $S_{4}$ flavor model based on supersymmetric (SUSY) SU(5) GUT. The first and third generations of \textbf{10} dimensional representations in SU(5) are all assigned to be $1_{1}$ of $S_{4}$. The second generation of \textbf{10} is to be $1_{2}$ of $S_{4}$. Right-handed neutrinos of singlet \textbf{1} and three generations of $\bar{\textbf{5}}$ are all assigned to be $3_{1}$ of $S_{4}$. The VEVs of two sets of flavon fields are allowed a moderate hierarchy, that is $\langleΦ^ν\rangle \sim λ_{c}\langleΦ^{e}\rangle$. Tri-Bimaximal (TBM) mixing can be produced at both leading order (LO) and next to next to leading order (NNLO) in neutrino sector. All the masses of up-type quarks are obtained at LO. We also get the bottom-tau unification $m_τ=m_{b}$ and the popular Georgi-Jarlskog relation $m_μ=3m_{s}$ as well as a new mass relation $m_{e}=\frac{8}{27}m_{d}$ in which the novel Clebsch-Gordan (CG) factor arises from the adjoint field $H_{24}$. The GUT relation leads to a sizable mixing angle $θ^{e}_{12} \sim θ_{c}$ and the correct quark mixing matrix $V_{CKM}$ can also be realised in the model. The resulting CKM-like mixing matrix of charged leptons modifies the vanishing $θ^ν_{13}$ in TBM mixing to a large $θ^{PMNS}_{13}\simeqθ_{c}/\sqrt{2}$, in excellent agreement with experimental results. A Dirac CP violation phase $ϕ_{12}\simeq\pmπ/2$ is required to make the deviation from $θ^ν_{12}$ small. We also present some phenomenological numerical results predicted by the model.

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。

摘要：

英文摘要：

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