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Don't make "final" hard cuts, include your favorite multivariate discriminate in the likelihood of the experiment.
- I told you two years ago not to be afraid of candidate!
- No luminosity-dependent optimization of event selection.
NP/Bayes decision gives optimal separation of specified hypotheses for a given information content.
- S/(S+B) maps onto S/B so it is optimal event discriminator but saturates interesting region into 1-e so beware of digitizing/numerical tolerances
I hate the CLs name. It is only a small detail in the framework I describe.
P(D(-2lnL)<1)=68% is a terrible approximation for searches for rare decays (motivation for CLs/MFLR in early days).