Difference between revisions of "Elong-13-05-28"

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[[Image: 2013-05-28-with_drift_systematics.png]]
 
[[Image: 2013-05-28-with_drift_systematics.png]]
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The [http://nuclear.unh.edu/~elong/analysis_files/2013-05-16/Azz_error.pdf Rates and Systematic Uncertainty Calculations for a Measurement of <math>A_{zz}</math>] tech note has been updated to include this band.
  
 
--[[User:Ellie|E. Long]] 20:53, 28 May 2013 (UTC)
 
--[[User:Ellie|E. Long]] 20:53, 28 May 2013 (UTC)

Revision as of 15:55, 28 May 2013

Systematic Error Bars

9.2% Systematic Uncertainty

From Dustin's work for the proposal, the components to systematic uncertainty make up a relative systematic uncertainty of 9.2%. Plotting this (<math>\delta A_{zz}^{sys} = 2\left(0.092 \cdot A_{zz}\right)</math>) as an error band, and propagating it to <math>b1</math>, we get the plot below.

2013-05-28-no drift systematics.png

Including Drift

Additionally, there is a compoment due to drift that makes up <math>\delta A_{ZZ}^{drift}=\pm \frac{2}{fP_{zz}}\delta \xi = \pm 3.7 \times 10^{-3}</math>. Including this, <math>\delta A_{zz}^{sys} = 2\sqrt{\left(0.092 \cdot A_{zz}\right)^2 + 0.0037^2 }</math>, the error band expands as in the plot below.

2013-05-28-with drift systematics.png

The Rates and Systematic Uncertainty Calculations for a Measurement of <math>A_{zz}</math> tech note has been updated to include this band.

--E. Long 20:53, 28 May 2013 (UTC)