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arXiv 0911.3591hep-ph
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费米子质量和混合的See-Saw $S_4$模型

A See-Saw $S_4$ model for fermion masses and mixings

Davide Meloni

摘要:

我们提出了一个超对称跷跷板$S_4$模型,给出了与三-双峰混合相容的最一般的中微子质量矩阵。我们采用了$S_4\times Z_5$味对称性,打破了适当的真空期望值的少数flavon字段。我们表明,真空对齐是味对称性所允许的最一般的超势的自然解,而不引入任何软破缺项。在荷电轻子区,质量等级不是由Froggatt-Nielsen U(1)机制控制的,而是由一个二重态和一个三重态flavon场的vev引起的flavon对称性的自发破缺控制的。对带电轻子质量矩阵和flavon vev的次高阶修正产生了对${\cal O}(λ_C^2)$大的混合角的修正。应用于夸克扇区,对称群$S_4\times Z_5$可以给出与单位元成正比的首阶$V_{CKM}$以及在Cabibbo $2\times 2$子矩阵中具有${\cal O}(1)$系数的矩阵.高阶校正在一般为${\cal O}(λ_C^2)$的其它$V_{CKM}$条目中产生非零条目。

英文摘要:

We present a supersymmetric see-saw $S_4$ model giving rise to the most general neutrino mass matrix compatible with Tri-Bimaximal mixing. We adopt the $S_4\times Z_5$ flavour symmetry, broken by suitable vacuum expectation values of a small number of flavon fields. We show that the vacuum alignment is a natural solution of the most general superpotential allowed by the flavour symmetry, without introducing any soft breaking terms. In the charged lepton sector, mass hierarchies are controlled by the spontaneous breaking of the flavour symmetry caused by the vevs of one doublet and one triplet flavon fields instead of using the Froggatt-Nielsen U(1) mechanism. The next to leading order corrections to both charged lepton mass matrix and flavon vevs generate corrections to the mixing angles as large as ${\cal O}(λ_C^2)$. Applied to the quark sector, the symmetry group $S_4\times Z_5$ can give a leading order $V_{CKM}$ proportional to the identity as well as a matrix with ${\cal O}(1)$ coefficients in the Cabibbo $2\times 2$ submatrix. Higher order corrections produce non vanishing entries in the other $V_{CKM}$ entries which are generically of ${\cal O}(λ_C^2)$.

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