More Track Correction Stuff ...

Figure 1: This figure shows the RFF spectra from sector 1 being modified to look like the FF spectra from sector 20. The black curve is the uncorrected FF spectrum from sector 20, the blue curve is the uncorrected RFF spectrum from sector 1, and the red curve is the corrected RFF spectrum from sector 1. The top pannel is for positive tracks and the bottom pannel is for negative tracks. The values used to shift the good spectra to look like the bad are Mean = 0.65 and Sigma = 0.30.

Figure 2: This figure compares the modified sector 1 RFF to the unmodified sector 1 RFF spectra. The red triangles show the average of the distribution along the x axis for each y axis bin. The black squares show the relationship between modified and unmodified track pts assuming a constant sagitta shift of 0.65 cm.

Figure 3: This figure shows the results of the back correction scheme using the average values (red triangles) from the correlation plot shown in figure 2. The black curve is the uncorrected FF spectrum, the blue curve is the sector 1 RFF spectrum, and the red curve is the corrected FF spectrum. The top pannel shows positive tracks and the bottom pannel shows negative tracks.

Figure 4: This figure shows the results of the back correction scheme using a constant sagitta shift of 0.65. The black curve is the uncorrected FF spectrum, the blue curve is the sector 1 RFF spectrum, and the red curve is the corrected FF spectrum. The top pannel shows positive tracks and the bottom pannel shows negative tracks.

We notice that the positive corrected FF spectra in figure 4 has a dip around 16 GeV. When doing the analytic back correction, there is an asymptote in pt at ~16 GeV which corresponds to a sagitta of 0.65. This means that it takes very large uncorrected pts to reach corrected pts close to 16 GeV. The jet finder imposes a track pt cut of 200 GeV, so the area near 16 GeV cannot be populated.

Figure 5: This figure shows the relationship between the corrected and uncorrected pt values assuming a sagitta shift of 0.65 cm.

We see in figures 3 and 4 that neither correction scheme does a good job of correcting both the positive and the negative spectra. But the average correction scheme does a good job on the negative spectra and the analytic correction scheme does a decent job with the positive spectra. I compare the analytic corrected positive spectra with the average corrected negative spectra below.

Figure 6: The top pannel compares the analyticly corrected sector 20 FF positive spectrum (red) and the sector 20 FF negative spectrum corrected using the averages (blue). The bottom pannel is the h+/h- ratio.

Figure 7: This figure shows the results of the gausian back correction scheme.