Neutrino mass, mixing and discrete symmetries

3rd Symposium on Prospects in the Physics of Discrete Symmetries

Smirnov, Alexei Y.^1

International Centre for Theoretical Physics, Strada Costiera 11, 34014 Trieste, Italy^1

关键词: Charged leptons;    Discrete symmetry;    Explicit modeling;    Flavor symmetry;    Majorana phasis;    Mixing parameters;    Observed values;    Symmetry groups;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/447/1/012004/pdf
DOI  :  10.1088/1742-6596/447/1/012004

来源: IOP

【 摘 要 】

Status of the discrete symmetry approach to explanation of the lepton masses and mixing is summarized in view of recent experimental results, in particular, establishing relatively large 1-3 mixing. The lepton mixing can originate from breaking of discrete flavor symmetry Gf to different residual symmetries G and Gv in the charged lepton and neutrino sectors. In this framework the symmetry group condition has been derived which allows to get relations between the lepton mixing elements immediately without explicit model building. The condition has been applied to different residual neutrino symmetries Gv. For generic (mass independent) Gv = Z2 the condition leads to two relations between the mixing parameters and fixes one column of the mixing matrix. In the case of Gv = Z2 × Z2 the condition fixes the mixing matrix completely. The non-generic (mass spectrum dependent) Gv lead to relations which include mixing angles, neutrino masses and Majorana phases. The symmetries G, Gv, Gf are identified which lead to the experimentally observed values of the mixing angles and allow to predict the CP phase.