Figure 1: Effect of different Discrimination Function cuts for Case #1.
The result for this case is that if one requires 95% of the muons to be correctly identified and sets the discrimination function cut accordingly, then 88% of the pions are rejected. Figure 1 shows that the curve falls sharply from this point, which means that a lower muon ID efficiency would lead to many more of the pions being rejected. For example, if one wants to accept only 90% of the muons, 96% of the pions are rejected. One can also observe that the discrimination functions for muons and pions are fairly well separated. Figures 2 and 3 show values of the discrimination function for each. These figures show how well the muons can be distinguished from the pions using the discrimination function.
Figure 2: D.F. for Muons for Case #1.
Figure 3: D.F. for Pions for Case #1.