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This report presents a comparison of cooling effects between Toy MC and G4MICE simulations at two points along the z-axis, namely the middle of the first and third absorbers, using 10,000 events in Step VI. Despite Toy MC accounting for multiple scattering and energy loss, it lacks the full suite of features found in G4MICE, such as proper transport and RF. Preliminary findings reveal a ~12.1% cooling for the 6π beam in Toy MC, compared to 9.5% in G4MICE between trackers and 6.2% at absorbers. Further statistics indicate that measuring fractional changes in emittance with 0.1% accuracy requires roughly 10^5 muons.
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Stats update • Was asked to provide comparison between toy mc and g4mice at two points along z (middle of first and third absorbers) • 10,000 events, step VI • Can add more points etc later • Toy MC has multiple scattering and energy lossbut does not have full range of G4MICE features eg proper transport, rf etc • Further details about Toy MC in previous talk (http://mice.iit.edu/pc/pc383/pc383.html)
Summary • Toy MC observes ~ 12.1% cooling for 6pi beam, between middle of first absorber and middle of third • G4MICE has 9.5% cooling between two trackers (cutting if particle doesn’t make downstream tracker), 6.2% between same points at absorbers (same cuts) • We have shown in previous discussions about Statistics that the error is proportional to 1/Sqrt(Events) • Will produce comparison plots of that constant of proportionality for next meeting, comparing estimates from G4MICE Grid simulations, Toy MC predictions, and John Cobb’s theoretical studies • But the conclusion will be that we need O(10^5) muons to measure fractional change in emittance to an accuracy of 0.1% for most cooling beams