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arXiv 1802.06320hep-ph
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标准模型中的质量问题

Mass problem in the Standard Model

R. Martinez, S. F. Mantilla

摘要:

本文提出了一个新的$\mathrm{SU}(3)_C \otimes \mathrm{SU}(2)_{L}\otimes \mathrm{U}(1)_{Y}\otimes \mathrm{U}(1)_{X}$规范模型,它对标准模型的三个费米子族是非普适的。为了得到一个无反常的理论,我们引入了另外一个类顶夸克、两个类底夸克和三个右手中微子。我们还考虑了另外三个相对于模型规范对称性为单线态的右手中微子来实现See-saw机制,并根据中微子振荡现象给轻中微子以质量。在这种水平规范对称性的背景下,我们发现轻子和夸克的质量不等式。特别地,通过对太阳、大气、反应堆和加速器中微子振荡实验的分析,得到了与正常和倒置两种中微子体系的质量平方差和混合角相一致的电荷和中性轻子扇区的Yukawa耦合的允许区域。

英文摘要:

We propose a new $\mathrm{SU}(3)_C \otimes \mathrm{SU}(2)_{L}\otimes \mathrm{U}(1)_{Y}\otimes \mathrm{U}(1)_{X}$ gauge model which is non universal respect to the three fermion families of the Standard Model. We introduce additional one top-like quark, two bottom-like quarks and three right handed neutrinos in order to have an anomaly free theory. We also consider additional three right handed neutrinos which are singlets respect to the gauge symmetry of the model to implement see saw mechanism and give masses to the light neutrinos according to the neutrino oscillation phenomenology. In the context of this horizontal gauge symmetry we find mass ansatz for leptons and quarks. In particular, from the analysis of solar, atmospheric, reactor and accelerator neutrino oscillation experiments, we get the allow region for the Yukawa couplings for the charge and neutral lepton sectors according with the mass squared differences and mixing angles for the two neutrino hierarchy schemes, normal and inverted.

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