Understanding for flavor physics in the lepton sector

Understanding for flavor physics in the lepton sector
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了解轻子领域的风味物理

DOI:
10.1103/physrevd.86.096010
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发表时间:
2012-07
期刊:
Physical Review D Particles and Fields
影响因子:
--
通讯作者:
Z.-h. Zhao
Z.-h. Zhao
中科院分区:
其他
文献类型:
--
作者:
Z.-h. Zhao

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在本文中,我们给出了一个模型,用于理解不同代之间的轻子扇区质量等级和中微子混合模式中的味道物理。该模型是在超对称框架内构建的,具有族对称性 S4 * U(1)。为跷跷板机制引入了两个右手中微子,同时还包括一些标准模型规范组单线态场,这些单线态场在族对称性下发生了非平凡的转变。在模型中,与前一个相比,每个贡献顺序都受到类似于 0.1 的 delta 抑制。为了再现质量等级,m(tau)和根Delta m(atm)(2)以及m(mu)和根Delta m(sol)(2)分别在前导阶和次前导阶获得,而电子只能通过次次次前导阶贡献获得其质量。对于中微子混合角,theta(12)、theta(23)、theta(13)分别为45度、45度、0,即双极大混合模式作为第一近似,而更高阶的贡献可以使它们与实验结果一致。由于 theta(12) 和 theta(13) 的修正源自相同的贡献,因此为它们预测了一个关系:sin theta(13) 1-tan theta(12)/1+tan theta(12)。此外,theta(23) 与 pi/4 的偏差应该与 theta(13;) 与 0 的偏差一样大,否则,前者与后者相比会被抑制 4 倍。
In this paper, we give a model for understanding flavor physics in the lepton sector mass hierarchy among different generations and neutrino mixing patterns. The model is constructed in the framework of supersymmetry, with a family symmetry S4 * U(1). There are two right-handed neutrinos introduced for a seesaw mechanism, while some standard model gauge group singlet fields are included, which transforms nontrivially under family symmetry. In the model, each order of contributions are suppressed by delta similar to 0.1 compared to the previous one. In order to reproduce the mass hierarchy, m(tau) and root Delta m(atm)(2), and m(mu) and root Delta m(sol)(2) are obtained at leading order and next-to-leading order, respectively, while the electron can only get its mass through next-to-next-to-next-to-leading order contributions. For neutrino mixing angels, theta(12), theta(23), theta(13) are 45 degrees, 45 degrees, 0, i.e., the bimaximal mixing pattern as a first approximation, while higher order contributions can make them consistent with experimental results. As corrections for theta(12) and theta(13) originate from the same contribution, there is a relation predicted for them: sin theta(13) 1-tan theta(12)/1+tan theta(12). Besides, the deviation from pi/4 for theta(23) should have been as large as the deviation from 0 for theta(13;) if not, the former is suppressed by a factor of 4 compared to the latter.
DOI: 10.1016/s0146-6410(00)00102-2
发表时间: 1999-12
影响因子: 9.6
作者:
H. Fritzsch;Z. Xing
通讯作者: H. Fritzsch;Z. Xing