Rough estimation about systematic uncertainty change using relative luminosity estimated by VPD data

 This is a rough rough estimation of systematic uncertainty change using relative luminosity estimated by VPD data.
The atachment is the details.

The statistics is 40% less with |pvz|<30cm than |pvz|<60cm and the statistical uncertainty will be 28% more which will not change our result (consistent with zero). And  systematic uncertainty from the relative luminosity will be 38.8% less. The changes will make the systermatic uncertainty a little smaller than the statistical uncertainty in low p_T bin.

Based on these comparision I think it is worth to using the relative luminosity estimated by VPD data.

The next, I need to compare the relative luminositys estimated by VPD data and JP data with |pvz|<30 cm.