Two-zero textures of the Majorana neutrino mass matrix and current experimental tests
By H. Fritzsch, Z. Xing, Shun Zhou. 2011
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In view of the latest T2K and MINOS neutrino oscillation data which hint at a relatively large θ13, we perform a systematic study of the Majorana neutrino mass matrix Mν with two independent texture zeros. We show that three neutrino masses (m1, m2, m3) and three CP-violating phases (δ, ρ, σ) can fully be determined from two neutrino mass-squared differences (δm2, ∆m2) and three flavor mixing angles (θ12, θ23, θ13). We find that seven patterns of Mν (i.e., A1,2, B1,2,3,4 and C) are compatible with current experimental data at the 3σ level, but the parameter space of each pattern is more strictly constrained than before. We demonstrate that the texture zeros of Mν are stable against the one-loop quantum corrections, and there exists a permutation symmetry between Patterns A1 and A2, B1 and B2 or B3 and B4. Phenomenological implications of Mν on the neutrinoless double-beta decay and leptonic CP violation are discussed, and a realization of those texture zeros by means of the Zn flavor symmetries is illustrated.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/49a70ed20a5435f765c3827945f94c74cf89a95d
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In Nuclear and High Energy Physics
Citations in the corpus
- Flavor structures of charged fermions and massive neutrinos (2019, background): “Among them, textures A1,2, B1,2,3,4 and C can survive current experimental tests at the 3σ level, while textures D1,2, E1,2,3 and F1,2,3 have been excluded by current neutrino oscillation data [225, 839, 840, 841, 842, 843, 844, 845, 846, 847, 848, 849, 850, 851].”