How do Kinematic Cuts Affect Cross-Section Calculation?

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SUMMARY

Kinematic cuts significantly influence the calculation of differential cross-sections in particle production, specifically for particles like D. Tight cuts reduce the number of detected D particles, while loose cuts increase their count, directly affecting the calculated cross-section. The integration of these cuts is performed numerically within the allowed phase space, where the cuts define the boundaries. To accurately account for the effects of varying cuts, one must consider their impact on the number of detected events when calculating the cross-section by dividing the count of D particles by the flux.

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Manojg
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Hi everybody,

I have a experimental question. In cross-section calculation of production of particles (say D), one counts the number of produced D. To selection the D one has to apply some kinematic cuts. If cuts are tight, number of D will be less and if cuts are loose, number of D will be large. So, cuts is going to effect the calculated cross-section. How these effect is taken into account?

Thanks.
 
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Generally, what is actually calculated is a differential cross-section. This is then integrated numerically in the allowed phase space region- the cuts come in as boundaries of allowed phase space.
 
Ok, thanks for reply.

My question is when you are analyzing the real data. You see a peak of a particle D, you select that particle by taking cuts around its peak, and count the number of events giving that particle. To calculate the cross-section, you divide the number of D particle by flux. Now, the number of D particle depend on the cut around the peak. How do take care of effect due to different cuts? Does not the cross-section depends on the cut you are taking to select D particle?
 

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