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By extending the lepton sector of standard model to include one sterileneutrino and two sets of new Higgs doublets and right-handed neutrinos, denotedby $(\eta_1, N_1, N_3)$ and $(\eta_2, N_2, N_4)$, with two $Z_2$ symmetries,the puzzles of neutrino masses, matter-antimatter asymmetry and cosmic-rayexcess observed by Fermi-LAT and PAMELA can be resolved simultaneously. Thecharacters of the model are: (a) neutrino masses arise from type-I andradiative seesaw mechanisms; (b) leptogenesis leading to baryon asymmetry atthe energy scale of $O(1- 10\rm TeV)$ could be realized through soft $Z_2$symmetry breaking effects; and (c) the conditions of small couplings for along-lived dark matter could be achieved naturally through loop corrections dueto the same soft symmetry breaking effects. The candidate for dark matter inleptophilic decays could fit the Fermi-LAT and PAMELA data well.

Resolution to neutrino masses, baryon asymmetry in leptogenesis and cosmic-ray anomalies