Understanding for flavor physics in the lepton sector

被引：15

作者：

Zhao, Zhen-hua ^{[1
,2
]}

机构：

[1] Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China

[2] State Key Lab Theoret Phys, Beijing 100190, Peoples R China

来源：

PHYSICAL REVIEW D | 2012年 / 86卷 / 09期

基金：

中国国家自然科学基金;

关键词：

MODEL; MASS;

D O I：

10.1103/PhysRevD.86.096010

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

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.

引用

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