Abstract Recent indirect searches of dark matter using gamma-ray, radio, and cosmic-ray data have provided some stringent constraints on annihilating matter. In this article, we propose a new method to constrain By the G2 cloud near Galactic supermassive black hole Sgr A*, can get parameter space mass annihilation cross section, especially for non-leptophilic channels $b\bar{b}$ W±. For thermal...