arXiv 1601.075232016-01hep-ph

规范SU（12）模型中规范、族和味对称的统一

Unification of gauge, family, and flavor symmetries illustrated in gauged SU(12) models

Carl H. Albright, Robert P. Feger., Thomas W. Kephart

备注：: 41 pages, 4 tables, 2 figures; two important changes: correct quark and lepton masses at the GUT scale are used for the SUSY running from 1 TeV; 5 complete scanning and fitting runs made to give better impression of results obtained for successful models
发表信息：: Phys. Rev. D 93, 075032 (2016)
DOI：: 10.1103/PhysRevD.93.075032

摘要：

为了解释夸克和轻子的质量和混合角，人们必须扩展标准模型，通常的做法是把夸克和轻子放在离散群的不可约表示中。我们认为，离散味对称性（及其伴随的问题），可以避免，如果我们扩大规范群。在SU（12）的框架中，我们给出了具有不同程度的可预测性的模型的明确例子，这些模型是通过扫描群和表示获得的，并识别出具有对质量和混合矩阵有贡献的算子的情况，这些情况几乎不需要对前因子进行微调。拟合夸克和轻子质量运行到大统一尺度和已知的混合角，使我们能够作出预测的中微子质量和层次，八分圆的大气混合角，轻子CP破坏，马约拉纳阶段，并在中微子无双β衰变中观察到的有效质量。

英文摘要：

To explain quark and lepton masses and mixing angles, one has to extend the standard model, and the usual practice is to put the quarks and leptons into irreducible representations of discrete groups. We argue that discrete flavor symmetries (and their concomitant problems) can be avoided if we extend the gauge group. In the framework of SU(12) we give explicit examples of models having varying degrees of predictability obtained by scanning over groups and representations and identifying cases with operators contributing to mass and mixing matrices that need little fine- tuning of prefactors. Fitting with quark and lepton masses run to the GUT scale and known mixing angles allows us to make predictions for the neutrino masses and hierarchy, the octant of the atmospheric mixing angle, leptonic CP violation, Majorana phases, and the effective mass observed in neutrinoless double beta decay.

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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