I
picked a "reference" energy spectrum which was far enough away
from the Galactic Center so that we wouldn't expect to see WIMP annihilation
signals there. In this case, I used galactic longitude (absolute)
between 7-10 degrees, latitude (absolute) less than 3-degrees. The
binning for the energy spectrum was the "standard" 10 Egret energy
bins from 30-MeV up to 10-GeV. Then I took the same definition for
energy spectra for angular bins at the galactic center and close to the
galactic center. These spectra were divided, bin-by-bin, to obtain a
spectral ratio as a function of energy. Thus, for the spectral ratio for
energy bin 1-2GeV, the flux from the galactic center between 1-2GeV was
divided by the flux between 1-2GeV from the "reference" region.
This
was performed for the Egret "diffuse" maps, and could also be
performed for the Galprop maps.
Then
this was also performed for a combined Egret "diffuse" plus the WIMP
annihilation simulated map.
Finally,
to obtain the double ratio, I divided each spectral ratio, bin-by-bin, by the
diffuse ratio. So, if the Egret data is in perfect agreement with
diffuse modeling, then we should have a flat line at 1 as a function of
energy. Instead, we have some disagreement at the 10-20% level in
angular bins near the Galactic center, and within 1-degree of the galactic
center a disagreement which increases with energy to the level of 60% above
1-GeV. I think this indicates that we have 10-20% systematics associated
with diffuse modeling. Presumably with better estimates of the hydrogen
column density we can beat down this systematic error, and the spectral double
ratios should become more consistent with unity (away from the Galactic
Center).
-L.
Wai, June 24, 2002