Anomaly Induced Dark Matter Decay and PAMELA/ATIC Experiments

Abstract

The cosmic ray data of PAMELA/ATIC may be explained by dark matter decay with a decay rate ${\tau }_{DM}^{-1}\sim 10^{-26}{sec}^{-1}\sim 10^{-45}eV$, an energy scale which could not be understood within the framework of the standard model or its simple supersymmetric extension. We propose anomaly induced dark matter decay to exponentially suppress the decay rate, and apply to a supersymmetric extension of the Ma's inert Higgs model of the radiative seesaw mechanism for neutrino masses. In this model the lightest right-handed neutrino ${\psi }_N$ and the lightest neutralino $\chi$ can fill the observed necessary dark matter relic, and we find that ${\psi }_N$ can decay into $\chi$ through anomaly with a right order of decay rate, emitting only leptons. All the emitted poistrons are right-handed.

14 pages, 3 figures, figures included, some references added

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