Statistical interpretation of the spatial distribution of current 130
  GeV gamma-ray line signal within the dark matter annihilation scenario
  Recently, several groups identified a tentative $\gamma$-ray line signal with
energy $\sim 130$ GeV in the central Galaxy from the Fermi-LAT data. %The
morphology study shows that the signal is consistent with dark matter
%annihilation, but with an offset $\sim 220$ pc ($1.5^{\circ}$) of the %center
from the Galactic center Sgr A$^{\star}$, Such a $\gamma-$ray line can be
interpreted as the signal of dark matter annihilation. However, the offset
$\sim 220$ pc ($1.5^{\circ}$) of the center of the most prominent signal region
from the Galactic center Sgr A$^{\star}$ has been thought to challenge the dark
matter annihilation interpretation. Considering the fact that such a 130 GeV
$\gamma$-ray line signal consists of only $\sim14$ photons, we suggest that the
"imperfect" consistency of these photons with the expected dark matter
distribution is due to the limited statistics. The offset will be smaller as
more signal photons have been collected in the near future. Our Monte Carlo
simulation supports the above speculation.
