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Line 83: − + − \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] − +
Error propagation in Amplitude Analysis (view source)
Revision as of 01:49, 22 November 2011
, 01:49, 22 November 2011no edit summary
}
}
\right]
\right]
}
}
= \sum_{\gamma,\delta}{\rho_{\gamma\delta}
\sum_{\alpha,\beta}^n{
u_\alpha u_\beta^* J_{\alpha \beta}
}
}
}
}
\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.