Flavor {Delta}(54) in SU(5) supersymmetric model

Flavor {Delta}(54) in SU(5) supersymmetric model
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SU(5)超对称模型中的风味{Delta}(54)

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发表时间:
2011
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通讯作者:
J. Escobar
J. Escobar
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作者:
J. Escobar

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我们利用SU(3){subf}的有限非阿贝尔子群{Delta}(54)设计了一个超对称SU(5)大统一理论模型。介绍了重右手中微子,它们被转换为我们所选择的家族群的三维表示。该模型成功地再现了标准模型和Cabibbo-Kobayashi-Maskawa混合矩阵的层次结构。然后,它提供了具有正常等级和质量的轻中微子的预测,如m{sub{nu}},1{近似相等}5x10{sup-3}eV,m{sub{nu}},2{近似相等}1x10{sup-2}eV,以及m{sub{nu}},3{近似相等}5x10{sup-2}eV。我们还提供了对重中微子质量的预测,并对符合实验极限的摩擦极大矩阵进行了修正,例如,反应堆角度为-7.31度。最后介绍了对我们的模型的一个简单修改,并显示出也产生了在这些限制范围内的预测。
We design a supersymmetric SU(5) grand unified theory model using {Delta}(54), a finite non-Abelian subgroup of SU(3){sub f}. Heavy right-handed neutrinos are introduced which transform as a three-dimensional representation of our chosen family group. The model successfully reproduces the hierarchical structures of the standard model and the Cabibbo-Kobayashi-Maskawa mixing matrix. It then provides predictions for the light neutrinos with a normal hierarchy and masses such that m{sub {nu}},1{approx_equal}5x10{sup -3} eV, m{sub {nu}},2{approx_equal}1x10{sup -2} eV, and m{sub {nu}},3{approx_equal}5x10{sup -2} eV. We also provide predictions for masses of the heavy neutrinos, and corrections to the tribimaximal matrix that fit within experimental limits, e.g., a reactor angle of -7.31 deg. A simple modification to our model is introduced at the end and is shown to also produce predictions that fall well within those limits.