Table 2. Systematic error formulas.
Category |
Effect On |
|||||
---|---|---|---|---|---|---|
δ‹z›L | δ‹z›R | δ‹z›Δ | δsL | δsR | δQ | |
A | — | — | — | sεs | sεs | sεs‹z›Δ |
B | — | (N2011/NR)εz | 0.5(N2011/NR)εz | — | — | 0.5sεz(N2011/NR) |
C | — | — | — | — | (N2011/NR)sεs | 0.5(N2011/NR)sεs|‹z›Δ| |
D | εz | εz | 0 | — | — | 0 |
The change induced in the average Bias-Left z position (δ‹z›L), the average Bias-Right z position (δ‹z›R), the difference in these positions (δ‹z›Δ), the sensitivity for the Bias-Left data (δsL), the sensitivity for the Bias-Right data (δsR) and the resulting charge (δQ) for systematic errors that produce errors in z of size εz and errors in the relative sensitivity εs. Temporal changes in εz and εs are assumed to occur between 2010 and 2011; N2011/NR is the fraction of Bias-Right events that occurred in 2011. Unaffected quantities are blank; the zeros in the Category D row emphasize that these errors have no effect on Q.