Difference between revisions of "Elong-13-09-18"
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==Fixed uncertainty due to large asymmetry== | ==Fixed uncertainty due to large asymmetry== | ||
− | Previously, the code was using a simplified <math>\delta A_{zz} = \frac{4}{f Pzz \sqrt{N}}</math> | + | Previously, the code was using a simplified <math>\delta A_{zz} = \frac{4}{f \cdot Pzz \sqrt{N}}</math>. This gave all of the above uncertainties, as well as this one: |
− | --[[User:Ellie|E. Long]] | + | [[Image:2013-09-19-old-error.png]] |
+ | |||
+ | Going back through [http://nuclear.unh.edu/~elong/analysis_files/2013-05-16/Azz_error.pdf the uncertainty tech note], the assumption of a small asymmetry isn't made until after Eq. 28. Utilizing the full uncertainty (Eq. 28 and 25), <math>\delta A_{zz} = \frac{2}{f \cdot Pzz}\sqrt{\frac{N_{Pol}}{N_u^2}+\frac{N_{Pol}^2}{N_u^3}}</math>, the uncertainties change (very slightly) to: | ||
+ | |||
+ | [[Image:2013-09-19-new-error.png]] | ||
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+ | --[[User:Ellie|E. Long]] 21:13, 19 September 2013 (UTC) |
Revision as of 16:13, 19 September 2013
Optimizing Azz in QE and x>1 Range
Beam Energy = 2.2 GeV
HMS
SHMS
Beam Energy = 4.4 GeV
HMS
SHMS
Beam Energy = 6.6 GeV
HMS
SHMS
Beam Energy = 8.8 GeV
HMS
SHMS
Beam Energy = 11.0 GeV
HMS
SHMS
Optimization Results
Beam Energy = 2.2 GeV
Beam Energy = 4.4 GeV
Beam Energy = 6.6 GeV
Beam Energy = 8.8 GeV
Beam Energy = 11.0 GeV
Fixed uncertainty due to large asymmetry
Previously, the code was using a simplified <math>\delta A_{zz} = \frac{4}{f \cdot Pzz \sqrt{N}}</math>. This gave all of the above uncertainties, as well as this one:
Going back through the uncertainty tech note, the assumption of a small asymmetry isn't made until after Eq. 28. Utilizing the full uncertainty (Eq. 28 and 25), <math>\delta A_{zz} = \frac{2}{f \cdot Pzz}\sqrt{\frac{N_{Pol}}{N_u^2}+\frac{N_{Pol}^2}{N_u^3}}</math>, the uncertainties change (very slightly) to:
--E. Long 21:13, 19 September 2013 (UTC)