Changes between Version 71 and Version 72 of DatabaseBasedAnalysis/Spectrum
- Timestamp:
- 12/04/19 11:45:58 (6 years ago)
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DatabaseBasedAnalysis/Spectrum
v71 v72 51 51 \[\sigma^2(N_\textrm{exc}^\textrm{MC}) = \left(\frac{dN_\textrm{exc}^\textrm{MC}}{dN_\textrm{sig}^\textrm{MC}}\right)^2\sigma^2(N_\textrm{sig}^\textrm{MC}) + \left(\frac{dN_\textrm{exc}^\textrm{MC}}{d\hat N_\textrm{bg}^\textrm{MC}}\right)^2\sigma^2(\hat N_\textrm{bg}^\textrm{MC}) \] 52 52 53 \[\sigma^2(N_\textrm{exc}) = \left(\frac{dN_\textrm{exc}}{dN_\textrm{sig}}\right)^2\sigma^2(N_\textrm{sig}) + \left(\frac{dN_\textrm{exc}}{d\hat N_\textrm{bg}}\right)^2\sigma^2(\hat N_\textrm{bg}) \] 53 \[\sigma^2(N_\textrm{exc}) = \left(\frac{dN_\textrm{exc}}{dN_\textrm{sig}}\right)^2\sigma^2(N_\textrm{sig}) + \left(\frac{dN_\textrm{exc}}{d\hat N_\textrm{bg}}\right)^2\sigma^2(\hat N_\textrm{bg}) 54 = N_\textrm{sig} + \frac{1}{5^2}N_\textrm{bg} \] 54 55 55 56 \[\sigma^2(N_\textrm{sig}) = N_\textrm{sig}\] 56 57 57 \[\sigma^2(\hat N_\textrm{bg}) 58 \[\sigma^2(\hat N_\textrm{bg}) = \frac{1}{5^2}\sigma^2(N_\textrm{bg}) = \frac{1}{5^2} N_\textrm{bg}\] 58 59 59 60 \[\sigma^2(N_\textrm{sig}^\textrm{MC}) = \sum_\textrm{sig}^\textrm{MC}\omega^2_i(E)\omega^2_i(\theta)\]