[Luo, Shu] Chinese Acad Sci, Inst High Energy Phys, Beijing 100049, Peoples R China
; [Chan, Aik Hui] Natl Univ Singapore, Dept Phys, Singapore 117542, Singapore
; [Fritzsch, Harald] Univ Munich, Sekt Phys, D-80333 Munich, Germany
Current experimental data allow the zero value for one neutrino mass, either m(1)=0 or m(3)=0. This observation implies that a realistic neutrino mass texture can be established by starting from the limit (a) m(1)=m(2)=0 and m(3)not equal 0 or (b) m(1)=m(2)not equal 0 and m(3)=0. In both cases, we may introduce a particular perturbation which ensures the resultant neutrino mixing matrix to be the tribimaximal 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 Delta(L). We show that it is possible to account for the cosmological baryon number asymmetry in the m(3)=0 case via thermal leptogenesis, in which the one-loop vertex correction to N decays is mediated by Delta(L) and the CP-violating asymmetry of N decays is attributed to the electron flavor.