Constraints on dark matter annihilation from the FAST observation of the Coma Berenices dwarf galaxy

The Galactic center $\gamma$-ray excess, detected by the Fermi-LAT, is a very attractive tentative signal from dark matter annihilation. Searching for associated synchrotron emissions could test the dark matter interpretation for this excess. We point the Five-hundred-meter Aperture Spherical radio Telescope towards Coma Berenices, a dwarf Spheroidal galaxy, for 2-hours of observation, and we find no significant continuum radio emission, which could be attributed to dark matter annihilation, from our target. We set very stringent annihilation cross-section constraints, with roughly an order of magnitude improvement over a large range of masses compared with previous radio searches. The dark matter scenario for the Galactic center $\gamma$-ray excess is in tension with the FAST observation for reasonable choices of astrophysical factors, including diffusion coefficient, diffusion radius and magnetic field. But with the combination of a small diffusion radius and a large diffusion coefficient, the $\mu^{+}\mu^{-}$ channel for the excess could still survive. Further radio observations by the FAST and other radio telescopes may reveal more about the dark matter properties.