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Recent gamma-ray observations and radio observations put strong constraintson the parameters of dark matter annihilation. In this article, we derive newconstraints for six standard model annihilation channels by using the recentradio data of M31 galaxy. The new constraints are generally tighter than theconstraints obtained from 6 years of Fermi Large Area Telescope gamma-rayobservations of the Milky Way dwarf spheroidal satellite galaxies. Theconservative lower limits of dark matter mass annihilating via $b\bar{b}$,$\mu^+\mu^-$ and $\tau^+\tau^-$ channels are 90 GeV, 90 GeV and 80 GeVrespectively with the canonical thermal relic cross section and the Burkertprofile being the dark matter density profile. Hence, our results do not favorthe most popular models of the dark matter interpretation of the Milky Way GeVgamma-ray excess.

Revisiting the constraints on annihilating dark matter by radio observational data of M31