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arXiv 1503.03306hep-ph
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走向一个完整的$A_4 \times SU(5)$ SUSY GUT

Towards a complete $A_4 \times SU(5)$ SUSY GUT

Fredrik Björkeroth, Francisco J. de Anda, Ivo de Medeiros Varzielas, Stephen F. King

摘要:

我们提出了一个重正化模型的基础上$A_4$家族对称性与$SU(5)$大统一理论(GUT),导致最小的超对称标准模型(MSSM)与两个右手中微子跷跷板机制。离散的$\mathbb{Z}_9\times \mathbb{Z}_6$对称性提供了夸克和轻子扇区中的费米子质量等级,而$\mathbb{Z}_4^R$对称性被打破为$\mathbb{Z}_2^R$,被识别为通常的R宇称。质子衰变被这些对称性高度抑制。我们讨论了$A_4$和$SU(5)$对称性破缺扇区,包括双三重态分裂,Higgs混合和$μ$项的起源。该模型提供了一个很好的适合(优于一个西格玛)的所有夸克和轻子(包括中微子)的质量和混合与自发CP破坏。与$A_4$真空对齐,$(0,1,1)$和$(1,3,1)$,该模型预测整个PMNS混合矩阵没有自由参数,直到一个相对相位,选择是$2π/3$从九个复杂的根的单位,提供了中微子振荡和leptogenesis之间的直接联系。

英文摘要:

We propose a renormalisable model based on $A_4$ family symmetry with an $SU(5)$ grand unified theory (GUT) which leads to the minimal supersymmetric standard model (MSSM) with a two right-handed neutrino seesaw mechanism. Discrete $\mathbb{Z}_9\times \mathbb{Z}_6$ symmetry provides the fermion mass hierarchy in both the quark and lepton sectors, while $\mathbb{Z}_4^R$ symmetry is broken to $\mathbb{Z}_2^R$, identified as usual R-parity. Proton decay is highly suppressed by these symmetries. We discuss both the $A_4$ and $SU(5)$ symmetry breaking sectors, including doublet-triplet splitting, Higgs mixing and the origin of the $μ$ term. The model provides an excellent fit (better than one sigma) to all quark and lepton (including neutrino) masses and mixing with spontaneous CP violation. With the $A_4$ vacuum alignments, $(0,1,1)$ and $(1,3,1)$, the model predicts the entire PMNS mixing matrix with no free parameters, up to a relative phase, selected to be $2π/3$ from a choice of the nine complex roots of unity, providing a direct link between neutrino oscillations and leptogenesis.

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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