A new method to constrain annihilating dark matter

Recent indirect searches of dark matter using gamma-ray, radio, and cosmic ray data have provided some stringent constraints on annihilating dark matter. In this article, we propose a new indirect method to constrain annihilating dark matter. By using the data of the G2 cloud near the Galactic supermassive black hole Sgr A*, we can get stringent constraints on the parameter space of dark matter mass and the annihilation cross-section, especially for the non-leptophilic annihilation channels and W-+/-. For the thermal annihilation cross-section, the lower bounds of dark matter mass can be constrained up to TeV order for the non-leptophilic channels with the standard spike index gamma(sp) = 7/3.