Super-exponential cutoff as a probe of annihilating dark matter

We investigate the possibility of fitting the putative spectrum of gamma-rays from annihilating dark matter at the Galactic Center by a super-exponential template. By generating and analyzing mock data for several ongoing and future experiments (HESS, CTA and DMA), we find that the preference for a super-exponential template (over an exponential) is especially strong for dark matter annihilating to $\tau^+\tau^-$ and $\mu^+\mu^-$ relative to other annihilation channels.