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Error propagation in Amplitude Analysis (view source)
Revision as of 18:51, 22 November 2011
, 18:51, 22 November 2011no edit summary
The relevant piece to pre-compute over the event set for error calculation is shown in brackets.
The relevant piece to pre-compute over the event set for error calculation is shown in brackets.
Turning our attention now to the contribution to error on the production parameters ''u'':
Turning our attention now to the contribution to error from the fit parameters ''u'', it is convenient to write them explicitly in terms of their real and imaginary parts as ''u = a + ib''.
<math>
I = \sum_{\alpha\beta}^n{
\left(\begin{array}{lr}a_\alpha & b_\beta\end{array}\right)
\left(\begin{array}{lr}\Re{I}_{\alpha\beta} &-\Im{I}_{\alpha\beta}
\\ \Im{I}_{\alpha\beta} & \Re{I}_{\alpha\beta}
\end{array}\right)
\left(\begin{array}{c}a_\alpha \\ b_\beta\end{array}\right)
}
</math>
<math>
<math>