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]] | ||
| − | The above image is includes the entire <math>\pm\delta A_{zz}^{sys}</math> range. If we only want to show half that, it looks like: | + | The above image is includes the entire <math>\pm\delta A_{zz}^{sys}</math> range. If we only want to show half that (just <math>\delta A_{zz}^{sys}</math> instead of <math>\pm \delta A_{zz}^{sys}</math>), it looks like: |
[[Image: 2013-05-28-with_half_drift_systematics.png]] | [[Image: 2013-05-28-with_half_drift_systematics.png]] | ||
Revision as of 09:44, 30 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.
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} = \pm \sqrt{\left(0.092 \cdot A_{zz}\right)^2 + 0.0037^2 }</math>, the error band expands as in the plot below.
The above image is includes the entire <math>\pm\delta A_{zz}^{sys}</math> range. If we only want to show half that (just <math>\delta A_{zz}^{sys}</math> instead of <math>\pm \delta A_{zz}^{sys}</math>), it looks like:
Full Error Bars
If we put this as <math>\delta A_{zz} = \sqrt{\delta A_{zz}^{(stat) 2} + \delta A_{zz}^{(sys) 2}}</math> as bars on the points, it comes out to the plot below. Our dominating effects are statistics and charge/efficiency fluctuations.
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 17:23, 29 May 2013 (UTC)
