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sFit: a method for background subtraction in maximum likelihood fit
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This paper presents a statistical method to subtract background in maximum likelihood fit, without relying on any separate sideband or simulation for background modeling. The method, called sFit, is an extension to the sPlot technique originally developed to reconstruct true distribution for each date component. The sWeights defined for the sPlot technique allow to construct a modified likelihood function using only the signal probability density function and events in the signal region. Contribution of background events in the signal region to the likelihood function cancels out on a statistical basis. Maximizing this likelihood function leads to unbiased estimates of the fit parameters in the signal probability density function.
Forward citations
Cited by 2 Pith papers
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Observation and investigation of the $T_{c\bar{c}1}(4430)^{+}$ structure in $B^{+} \to \psi(2S) K_{\text{S}}^{0} \pi^{+}$ decays
First 4D amplitude analysis of B+ → ψ(2S) K_S0 π+ confirms the exotic T_{c c-bar 1}(4430)+ structure with properties consistent with prior observations in the isospin-related channel.
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Measurement of the branching fractions and longitudinal polarisations of $B^0_{(s)} \to K^{*0} \kern 0.18em \overline{\kern -0.18em K}{}^{*0}$ decays
LHCb measures f_L^d = 0.600 and f_L^s = 0.159 for B to K* Kbar* decays and reports a ratio L of 4.92 that confirms 4.4 sigma discrepancy with theory.
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