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
Signal MC
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.
After rescaling the pi0's momentum, we can see the mbc also
changed - less than 0.03% level as shown in the plots below.
Conclusion
Then we fit the momentum rescaled events and compare the result2 with the regular one. The difference is negligible.
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