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- How to determine the uncertainty of histogram bins when the entries result from a MC-simulation

Hello everyone,

I calculated the matrix element of a parton level process and determined the total cross section via a MC-simulation. Then I wanted to look at some differential distributions like the differential cross section with respect to the energy of one of the particles in the final state. In order to do this I calculate the differential cross section for 10.000 phase-space points and then do a case analysis in which bin to add the respective result. Now I am stuck with assigning an uncertainty to each bin. How does this work? The differential cross sections do not carry any uncertainty since they are calculated analytically. One approach I often read is the use of the poissonian distibution but I do not think it is the proper way since I feel like I am not really doing a counting experiment. Thanks for any advice!

I calculated the matrix element of a parton level process and determined the total cross section via a MC-simulation. Then I wanted to look at some differential distributions like the differential cross section with respect to the energy of one of the particles in the final state. In order to do this I calculate the differential cross section for 10.000 phase-space points and then do a case analysis in which bin to add the respective result. Now I am stuck with assigning an uncertainty to each bin. How does this work? The differential cross sections do not carry any uncertainty since they are calculated analytically. One approach I often read is the use of the poissonian distibution but I do not think it is the proper way since I feel like I am not really doing a counting experiment. Thanks for any advice!