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The distribution of events for each peak finder is shown below. In the lower plot, the square peak finder distribution is manually shifted by -4.8.

One can see that the peaks roughly follow a Gaussian distribution but on the higher end, there is a very noticeable shoulder. At first, it appears to be a result of dense photons, a situation that was avoided. With the use of sparse events. A Gaussian curve was fitted to both distributions but to ignore the effects of the shoulder, only the data between 120 and 150 ADU was used. The result from this was the V1 peak finder having a mean of 141.93 ± 0.06 and a standard deviation of 8.37 and the square peak finder having a mean of 146.68 ± 0.060 and a standard deviation of 8.20 where the errors were obtained by σ/√N. 

Just to confirm the suspicions, the sparsest event, event 634, was looked at separately. The V1 and square peak finders found only 545 and 584 peaks, respectively. It can be seen in the energy distribution of the peaks for event 634 that the high energy shoulder is still present so it cannot be due to multiple photon complications. Furthermore, by manually checking peaks, it can be seen that the high energy peaks do not neighbor other peaks and are merely just higher energy peaks.

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