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arXiv 1807.00860hep-ph
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从统一的$Δ(27)$味对称性看MSSM中的受控味破坏

Controlled flavor violation in the MSSM from a unified $Δ(27)$ flavor symmetry

Ivo de Medeiros Varzielas, M. L. López-Ibáñez, Aurora Melis, Oscar Vives

摘要:

我们研究了具有味对称性$Δ(27)$的统一超对称理论的唯象。该模型包含夸克和轻子质量、混合角和CP相位。在这个模型中,狄拉克和马约拉纳质量矩阵在$(1,1)$项中具有统一的纹理零结构,这导致了卡比博角与夸克扇区中质量比之间的Gatto-Sartori-Tonin关系,并导致轻子扇区中$θ_{13}^\ell$角自然偏离零。我们导出了三线矩阵和软质量矩阵的味结构,并证明了它们的一般非普适性。这导致了大的风味违背效果。因此,该模型的参数空间受到限制,允许在未来十年内通过风味违规搜索来证明它。虽然结果是模型特定的,我们将它们与以前的研究进行比较,以显示类似的风味效应(和相关的约束),预计一般在超对称风味模型,并可用于区分它们。

英文摘要:

We study the phenomenology of a unified supersymmetric theory with a flavor symmetry $Δ(27)$. The model accommodates quark and lepton masses, mixing angles and CP phases. In this model, the Dirac and Majorana mass matrices have a unified texture zero structure in the $(1,1)$ entry that leads to the Gatto-Sartori-Tonin relation between the Cabibbo angle and ratios of the masses in the quark sectors, and to a natural departure from zero of the $θ_{13}^\ell$ angle in the lepton sector. We derive the flavor structures of the trilinears and soft mass matrices, and show their general non-universality. This causes large flavor violating effects. As a consequence, the parameter space for this model is constrained, allowing it to be (dis)proven by flavor violation searches in the next decade. Although the results are model specific, we compare them to previous studies to show similar flavour effects (and associated constraints) are expected in general in supersymmetric flavor models, and may be used to distinguish them.

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