Neutrino mass squared differences in the exact solution of a 3-3-1 gauge model without exotic electric charges

被引:14
作者
Palcu, Adrian [1 ]
机构
[1] W Univ Timisoara, Dept Theoret & Computat Phys, RO-300223 Timisoara, Romania
关键词
neutrino mass splittings; 3-3-1; models; exact solution;
D O I
10.1142/S021773230602144X
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The mass splittings for the Majorana neutrinos in the exact solution of a particular 3-3-1 gauge model are computed in detail. Since both sin(2) theta(13) similar or equal to 0 and the mass splitting ratio r(Delta) similar or equal to 0.033 are taken into account as phenomenological evidence, the analytical calculations in the leading order seem to predict an inverted mass hierarchy and a matrix with a texture based on a very close approximation to the bi-maximal mixing. The resulting formulas for the mass squared differences can naturally accommodate the available data if the unique free parameter a of the model gets very small values similar to 10(-15). Consequently, the smallness of the parameter requires (according to our method) a large breaking scale <phi > similar to 10(6)-10(7) TeV. Hence, the results concerning the neutrino mass splittings lead to a more precise tuning in the exact solution of the 3-3-1 model and enable it - at the same time - to recover all the Standard Model phenomenology and predict the mass spectrum of the new gauge bosons Z', X, Y in accordance with the actual data. The minimal absolute mass in the neutrino sector is also obtained, m(0) similar or equal to 0.0035 eV, in the case of our suitable approximation for the bi-maximal mixing.
引用
收藏
页码:2027 / 2041
页数:15
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