Difference between revisions of "Elong-13-05-28"
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===9.2% Systematic Uncertainty=== | ===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} = 0.092 \cdot A_{zz}</math>) as an error band, and propagating it to <math>b1</math>, we get the plot below. | + | 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. |
[[Image: 2013-05-28-no_drift_systematics.png]] | [[Image: 2013-05-28-no_drift_systematics.png]] | ||
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===Including Drift=== | ===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} = \sqrt{\left(0.092 \cdot A_{zz}\right)^2 + 0.0037^2 }</math>, the error band expands as in the plot below. | + | 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. |
[[Image: 2013-05-28-with_drift_systematics.png]] | [[Image: 2013-05-28-with_drift_systematics.png]] | ||
Revision as of 14:09, 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.
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.
