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Home > Journal of High Energy Physics (Springer/SISSA) > Lepton mixing predictions from infinite group series D 9 n , 3 n (1) with generalized CP |

Li, Cai-Chang (Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui, 230026, China) ; Yao, Chang-Yuan (Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui, 230026, China) ; Ding, Gui-Jun (Department of Modern Physics, University of Science and Technology of China, Hefei, Anhui, 230026, China)

03 May 2016

**Abstract: **We have performed a comprehensive analysis of the type D group D 9 n , 3 n (1) as flavor symmetry and the generalized CP symmetry. All possible residual symmetries and their consequences for the prediction of the mixing parameters are studied. We find that only one type of mixing pattern is able to accommodate the measured values of the mixing angles in both “direct” and “variant of semidirect” approaches, and four types of mixing patterns are phenomenologically viable in the “semidirect” approach. The admissible values of the mixing angles as well as CP violating phases are studied in detail for each case. It is remarkable that the first two smallest D 9 n , 3 n (1) groups with n = 1 , 2 can fit the experimental data very well. The phenomenological predictions for neutrinoless double beta decay are discussed.

**Published in: ****JHEP 1605 (2016) 007**
**Published by: **Springer/SISSA

**DOI: **10.1007/JHEP05(2016)007

**arXiv: **1601.06393

**License: **CC-BY-4.0