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Error propagation in Amplitude Analysis (view source)
Revision as of 17:07, 22 November 2011
, 17:07, 22 November 2011no edit summary
u_\alpha u_\beta^*
u_\alpha u_\beta^*
\left[ \frac{1}{N_{gen}}\sum_i^N{
\left[ \frac{1}{N_{gen}}\sum_i^N{
A_\alpha^{\gamma \delta}(x_i) A_\beta^{\gamma \delta *}(x_i)
A_\alpha^{\gamma}(x_i) A_\beta^{\delta *}(x_i)
}
}
\right]
\right]
}
}
}
}
= \sum_{\gamma,\delta}{\rho_{\gamma\delta}
= \sum_{\alpha,\beta}^n{
\sum_{\alpha,\beta}^n{
u_\alpha u_\beta^* \left[ \sum_{\gamma,\delta}{\rho_{\gamma\delta}
u_\alpha u_\beta^* J^{\gamma\delta}_{\alpha \beta}
\frac{1}{N_{gen}}\sum_i^N{
A_\alpha^{\gamma}(x_i) A_\beta^{\delta *}(x_i)
\right] }
}
}
= \sum_{\alpha,\beta}^n{
u_\alpha u_\beta^* I_{\alpha\beta}
}
}
}
}