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The study specifically considers the ability of methods to differentiate between source and background emission. As such, it is sensible to choose regions of study restricted to the Galactic Plane as minimal diffuse or background emission is observed away from low galactic latitudes. As such, two regions are chosen to evaluate the method effectiveness. The first is a region covering much of the galactic plane, aiming to provide a broader sense of the separation process in the galaxy as a whole - roughly taken to be the plane between the the Vela region (around -97 degrees longitude) and Cygnus (+82 degrees longitude). A further, smaller, region is chosen to follow the highest regions of background emission to allow how the method is effective in regions of higher background emission and lower source fraction. The specifications of these regions are summarized in the table below.
\begin{table}
\centering
\resizebox{0.47\textwidth}{!}{
\begin{tabular}{|c|c|c|}
\hline
\textbf{Region} & \textbf{Latitude Range} & \textbf{Longitude Range}\\\hline
Galactic Plane & $-3
Inner Galactic Plane & $-1
\end{tabular}}
\caption{Latitude and Longitude ranges of the analysis regions}
\end{table}
These regions are indicated on the figure below. For reference, this figure covers a region $-10
To illustrate the presence of \textit{Fermi/LAT} statistics in these regions, Figure 2 illustrates the counts seen between a given energy (in $GeV$) and a maximum of 500 $GeV$ in the LAT data in each of the two analysis regions compared ot the all sky. It should be noted that in the plot, the consistent sharp cut-off towards 500 GeV energies is an artificial effect cause by the enforced 500 GeV energy cut off applied to the events considered. Without such an imposed cutoff, with a free upper energy limit, a continuation of the logarithmic decline in counts is observed towards energies of the order of a TeV.
Table 4 quantifies the counts shown in the figure by outlining the counts seen in each of these regions at approximately logarithmically even energy binnings within the range of the selected events (and subsequent counts map).
\begin{table*}
\centering
\resizebox{0.75\textwidth}{!}{
\begin{tabular}{|c|c|c|c|}
\hline
\multirow{2}{*}{\textbf{Minimum Energy/$GeV$}} & \multicolumn{3}{|c|}{\textbf{Counts}}\\
& All Sky & Large Galactic Region & Small Galactic Region\\\hline
10 & 259500 & 69394 & 27135\\\hline
30 & 47287 & 13244 & 5487 \\\hline
100 & 6282 & 2118 & 922\\\hline
300 & 606 & 222 & 92\\\hline
\end{tabular}}
\caption{Quantitative Illustration of Events observed between 10 GeV and 500 GeV}
\end{table*}
\begin{table*}
\centering
\resizebox{0.6\textwidth}{!}{
\begin{tabular}{|c|c|c|}
\hline
\multirow{2}{*}{\textbf{Minimum Energy/$GeV$}} & \multicolumn{2}{|c|}{\textbf{Fraction of All Sky Counts/$\%$}}\\
& Large Galactic Region & Small Galactic Region\\\hline
10 & 26.7 & 10.5 \\\hline
30 & 28.0 & 11.6 \\\hline
100 & 33.7 & 14.7 \\\hline
300 & 36.6 & 15.2 \\\hline
\end{tabular}}
\caption{Fraction of Events observed in Regions between 10 GeV and 500 GeV}
\end{table*}
diff --git a/layout.md b/layout.md
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figures/Counts1/Counts1.png
table_Text.tex
sectionMethods__Spec.tex
The_study_specifical.tex
figures/fermi_diffuse_sed/fermi_diffuse_sed.png
subsectionSimulation.tex
begintable_centering.tex