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arXiv 2102.05658hep-ph
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$Δ(27)$ 3+1 Higgs双重态模型中的受控费米子混合和FCNC

Controlled fermion mixing and FCNCs in a $Δ(27)$ 3+1 Higgs Doublet Model

A. E. Cárcamo Hernández, Ivo de Medeiros Varzielas, M. L. López-Ibáñez, Aurora Melis

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21 pages, 7 figures, version published in JHEP
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摘要：

我们提出了一个基于$Δ(27)$族对称性的3+1 Higgs双态模型，并辅以几个辅助的循环对称性，从而使标准模型的费米子具有可行的Yukawa织构，这与观测到的费米子质量和混合模式一致。带电费米子质量等级和夸克混合模式是由作为Froggatt-Nielsen场的flavons引起的离散对称性的自发破缺产生的。由于保留了$Z_2^{\left( 1\right)}$离散对称性，微小的中微子质量产生于一个循环水平的辐射跷跷板机制，这也导致了稳定的标量和费米暗物质候选者。轻子部分的特点预测cobimalamid混合模式，符合实验数据从中微子振荡。对于正常的中微子质量等级的情况下，该模型预测的有效马约拉纳中微子质量参数的范围$3$ ~meV $\lesssim m_{ββ}\lesssim$ $18$ meV，这是在现代实验的灵敏度范围内宣布。该模型预测的口味变化的中性电流约束模型，例如K介子混合和$μ\to e$核转换过程，后者被发现是在即将到来的实验范围内。

英文摘要：

We propose a 3+1 Higgs Doublet Model based on the $Δ(27)$ family symmetry supplemented by several auxiliary cyclic symmetries leading to viable Yukawa textures for the Standard Model fermions, consistent with the observed pattern of fermion masses and mixings. The charged fermion mass hierarchy and the quark mixing pattern is generated by the spontaneous breaking of the discrete symmetries due to flavons that act as Froggatt-Nielsen fields. The tiny neutrino masses arise from a radiative seesaw mechanism at one loop level, thanks to a preserved $Z_2^{\left( 1\right)}$ discrete symmetry, which also leads to stable scalar and fermionic dark matter candidates. The leptonic sector features the predictive cobimaximal mixing pattern, consistent with the experimental data from neutrino oscillations. For the scenario of normal neutrino mass hierarchy, the model predicts an effective Majorana neutrino mass parameter in the range $3$~meV$\lesssim m_{ββ}\lesssim$ $18$ meV, which is within the declared range of sensitivity of modern experiments. The model predicts Flavour Changing Neutral Currents which constrain the model, for instance Kaon mixing and $μ\to e$ nuclear conversion processes, the latter which are found to be within the reach of the forthcoming experiments.

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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