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arXiv 1803.07367hep-ph
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μ子反常与$SU(5)$ Yukawa关系

Muon anomalies and the $SU(5)$ Yukawa relations

A. E. Cárcamo Hernández, Stephen F. King

摘要:

我们发现,在$SU(5)$大统一理论(GUTs)的框架内,在GUT尺度下的多个矢量类族在规范的$U(1)'$(在该规范下,三个手性族是中性的)下转换可以导致在低能量下的单个矢量类族,这可以诱导非普适的和有味道的$Z'$耦合,这可以解释$R_{K^{(*)}}$中的B物理异常。在这样的理论中,我们表明,相同的μ子耦合解释$R_{K^{(*)}}$也纠正汤川关系$Y_e=Y_d^T$在μ子部门,而不需要更高的希格斯表示。为了说明这一机制,我们构建了一个具体的一个模型的基础上$SU(5)\times A_4 \times Z_3\times Z_7$与两个矢量类家庭在大统一尺度,和两个右手中微子,导致一个成功的适合夸克和轻子(包括中微子)的质量,混合角和CP相位,从轻子味违反的约束要求$Y_e$是对角的。

英文摘要:

We show that, within the framework of $SU(5)$ Grand Unified Theories (GUTs), multiple vector-like families at the GUT scale which transform under a gauged $U(1)'$ (under which the three chiral families are neutral) can result in a single vector-like family at low energies which can induce non-universal and flavourful $Z'$ couplings, which can account for the B physics anomalies in $R_{K^{(*)}}$. In such theories, we show that the same muon couplings which explain $R_{K^{(*)}}$ also correct the Yukawa relation $Y_e=Y_d^T$ in the muon sector without the need for higher Higgs representations. To illustrate the mechanism, we construct a concrete a model based on $SU(5)\times A_4 \times Z_3\times Z_7$ with two vector-like families at the GUT scale, and two right-handed neutrinos, leading to a successful fit to quark and lepton (including neutrino) masses, mixing angles and CP phases, where the constraints from lepton flavour violation require $Y_e$ to be diagonal.

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