Changes between Version 90 and Version 91 of DatabaseBasedAnalysis/Spectrum


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Timestamp:
Dec 5, 2019, 10:04:07 AM (11 months ago)
Author:
tbretz
Comment:

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  • DatabaseBasedAnalysis/Spectrum

    v90 v91  
    7474For the simulations, the error on \(N\) is the error on the weighted sum
    7575
    76 \[\sigma^2(N_\textrm{sig,bg}) = \sum_j\left[\frac{\sum_i d\omega_i}{d\omega_j}\sigma(\omega_j)\right]^2 = \sum\omega_i^2\]
     76\[\sigma^2(N_\textrm{sig,bg}) = \sum_i\left[\frac{\sum_j d\omega_j}{d\omega_i}\sigma(\omega_i)\right]^2 = \sum\sigma^2(\omega_i)\]
    7777
    78 end thus
     78With the error \(\sigma^2(\omega_i) = \omega_i^2\) this provides
    7979
    8080\[\sigma^2(N_\textrm{exc}^\textrm{MC}) = \sum_\textrm{sig}\omega_i + \frac{1}{5^2}\sum_\textrm{bg}\omega_i \]