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arXiv 1003.1270hep-ph
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含自然sub-eV中微子的最小3-3-1模型

A minimal 3-3-1 model with naturally sub-eV neutrinos

C. A. de S. Pires, F. Queiroz, P. S. Rodrigues da Silva

摘要:

在最小SU(3)_C x SU(3)_L x U(1)_N模型的原始版本中,通过引入三个标量三重态来正确地得到所有夸克的质量,而轻子质量的产生则需要引入至少一个标量六重态。在这项工作中,我们表明,这个标量六重奏是无法产生正确的中微子质量和混合。为了以最经济的方式解决这个难题,我们提出了一个额外的Z_3离散对称,而不把这个六重态包含在标量谱中,并提出了一个真正的最小3-3-1模型,它能够产生正确的质量和所有费米子的混合。此外,我们表明,我们的建议导致自然轻中微子的质量在eV范围内,获得三个标量三重态。最后,所谓的最小3-3-1模型也处于危险之中,因为存在导致质子衰变的不希望的有效算子,除非它们被极小的耦合抑制,或者正如我们在这项工作中选择使用的那样,被一些离散对称消除。

英文摘要:

In the original version of the minimal SU(3)_C x SU(3)_L x U(1)_N model the masses of all quarks are correctly obtained by introducing three scalar triplets into the model, meanwhile the lepton mass generation requires the introduction of at least one scalar sextet. In this work we show that this scalar sextet is unable to yield the correct neutrino masses and mixing. In order to solve this puzzle in the most economical way, we evoke an additional Z_3 discrete symmetry, without including this sextet in the scalar spectrum, and propose a truly minimal 3-3-1 model capable of generating the correct masses and mixing of all fermions. Moreover, we show that our proposal leads to naturally light neutrinos with masses in the eV range, obtained with three scalar triplets only. Finally, the so called minimal 3-3-1 model is also in danger due to the presence of undesirable effective operators that lead to proton decay unless they are suppressed by extremely small couplings or, as we choose to employ in this work, are eliminated by some discrete symmetry.

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