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Error propagation in Amplitude Analysis (view source)
Revision as of 01:49, 22 November 2011
, 01:49, 22 November 2011no edit summary
Line 34:
Line 34:
\left[ \frac{1}{N_{gen}}\sum_i^N{
− A_\alpha^{\gamma \delta}(x_i) A_\beta^{\gamma \delta *}(x_i)
− }
− \right]
\left[ \frac{1}{N_{gen}}\sum_i^N{
− A_\alpha^{\gamma \delta}(x_i) A_\beta^{\gamma \delta *}(x_i)
− }
− \right]
}
}
\right]
\right]
+ }
+ }
+= \sum_{\gamma,\delta}{\rho_{\gamma\delta}
+ \sum_{\alpha,\beta}^n{
+ u_\alpha u_\beta^* J_{\alpha \beta}
}
}
}
}
Line 78:
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\sum_{\gamma,\delta}{\rho_{\gamma\delta}
\sum_{\gamma,\delta}{\rho_{\gamma\delta}
\sum_{\alpha,\beta}^n{
\sum_{\alpha,\beta}^n{
− u_\alpha u_\beta^*
+ u_\alpha u_\beta^* J_{\alpha\beta}
− }
}
}
}
\right)
\right)
− \frac{\partial}{\partial u_l}
+ \frac{\partial}{\partial u_l}\left(
− \sum_{\gamma,\delta}{\rho_{\gamma\delta}
+ \sum_{\gamma',\delta'}{\rho_{\gamma'\delta'}
− \sum_{\alpha,\beta}^n{
+ \sum_{\alpha',\beta'}^n{
− u_\alpha u_\beta^*
+ u_{\alpha'} u_{\beta'}^* J_{\alpha'\beta'}
− }
}
}
}
\right)
\right)
}
}
−</math>
</math>
+The product of σ terms in the summation are the error matrix derived from the fit.