[Bi, Xiao-Jun] Chinese Acad Sci, Inst High Energy Phys, Key Lab Particle Astrophys, Beijing 10049, Peoples R China
; [Bi, Xiao-Jun] Peking Univ, Ctr High Energy Phys, Beijing 100871, Peoples R China
; [Gu, Pei-Hong] Abdus Salam Int Ctr Theoret Phys, I-34014 Trieste, Italy
; [Li, Tianjun] Chinese Acad Sci, Inst Theoret Phys, Beijing 100080, Peoples R China
; [Li, Tianjun] Texas A&M Univ, George P & Cynthia W Mitchell Inst Fundamental Ph, College Stn, TX 77843 USA
; [Zhang, Xinmin] Chinese Acad Sci, Inst High Energy Phys, Div Theoret Phys, Beijing 10049, Peoples R China
Recently the ATIC and PAMELA collaborations released their results which show the abundant e(+/-) excess in cosmic rays well above the background, but not for the (p) over bar. Their data if interpreted as the dark matter particles' annihilation imply that the new physics with the dark matter is closely related to the lepton sector. In this paper we study the possible connection of the new physics responsible for the cosmic e(+/-) excesses to the neutrino mass generation. We consider a class of models and do the detailed numerical calculations. We find that some models can account for the ATIC and PAMELA e(+/-) and (p) over bar data and at the same time generate the small neutrino masses.