Aik Hui Chan, Harald Fritzsch, Shu Luo, Zhi-zhong Xing
Abstract
Current experimental data allow the zero value for one neutrino mass, either m₁ = 0 or m₃ = 0. This observation implies that a realistic neutrino mass texture can be established by starting from the limit (a) m₁ = m₂ = 0 and m₃ ≠ 0 or (b) m₁ = m₂ ≠ 0 and m₃ = 0. In both cases, we may introduce a particular perturbation which ensures the resultant neutrino mixing matrix to be the tri-bimaximal mixing pattern or its viable variations with all entries being formed from small integers and their square roots. We find that it is natural to incorporate this kind of neutrino mass matrix in the minimal Type-II seesaw model with only one heavy right-handed Majorana neutrino N in addition to the SU(2)_L Higgs triplet Δ_L. We show that it is possible to account for the cosmological baryon number asymmetry in the m₃ =0 case via thermal leptogenesis, in which the one-loop vertex correction to N decays is mediated by Δ_L and the CP-violating asymmetry of N decays is attributed to the electron flavor.
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