Introduction

If we look at the deltaE (deltaE = E_reco - E_beam) distribution of the mode 1 where D decays to K pi pi0 for Data and MC. We can see that the peak of signal MC is shifted to higher side compared with data. From the plot, Mean_signal = -0.0043, Mean_data = -0.0056.

Data

eps file

Signal MC

eps file

Process

To compensate this shift, we can rescaple the pi0's momentum in

signal MC by a factor of 0.997. Then the deltaE plot for signal MC will be consistent with data as shown below. Where the mean value of deltaE changed from -0.0043 to -0.0056, consistent with data.

eps file

After rescaling the pi0's momentum, we can see the mbc also

changed - less than 0.03% level as shown in the plots below.

eps file

Conclusion

Then we fit the momentum rescaled events and compare the result2 with the regular one. The difference is negligible.

; INVALID LISP CODE


1. For plots about the other charge conjugate etc see here.

2. For details of the fitting see here.