Comparison of GEANT Simulation to Whitney Data

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[math]\vartriangleleft [/math] [math]\triangle [/math] [math]\vartriangleright [/math]

Simulation GEANT4(1cm target) GEANT4(1cm target) GEANT4(5cm target) GEANT4(5cm target) Whitney
Length of Target (cm) 1 1 5 5 5
[math]N_{incident}(Total)[/math] 4E7 4E8 6E6 6E7 6E7
[math]N_{events}(Total)[/math] 1026940 10270829 771161 4826141 1001700
[math]N_{events}(5^{\circ}-40^{\circ})[/math] 305570 3054080 229266
[math]N_{Moller}(Total)[/math] 975593 9757288 732603 4584834 951138
[math]N_{Moller}(5^{\circ}-40^{\circ})[/math] 290291 2901376 217803 1362098
[math]t_{simulated}(Total)[/math] (s) 1.3E-5 1.3E-4 9.57E-6 9.62E-5 9.54E-5
Total Event Cross-Section (b) 0.61 0.61 0.61 0.38 0.079
Total Moller Cross-Section (b) 0.58 0.58 0.58 0.361 0.075
Detector Event Cross-Section (b) 0.18 0.18 0.18
Detector Moller Cross-Section (b) 0.17 0.17 0.17

Total dectector events occur for about 2.5% of the incident electrons on a LH2 target. We can assume that the Moller rate is 95% of the total event rate. We can assume the number of Moller events that occur within the DC range to be around 30% of the total Moller events occuring for the number of incident electrons for LH2 as well. Since the differential cross-section over the angel theta is proportional to the differtial cross-section over wire number we can dividing the Moller differential cross-section by the product of the density and length of the target material

Cross Section.png

If we were to integrate the Moller Differential Cross Section

6e7incLH2 MolDiffXSect.png

Screen Shot 2018-03-29 at 8.57.34 AM.png