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The overall aim of NA62 if to measure the branching fraction (using BR as the canonical shorthand from here) of the decay K+→π+νν. In order to do so, we must account for errors both statistical and systematic. Therefore, if we measure the BR and normalise the number of events we observe by dividing it by one of the primary kaon decays (μ+ν or π+π0) we can cancel many of the major systematics. If we use both primary decays for a normalisation sample and compare the value, we can check if we are properly accounting for all systematics, as both should provide the same result. First we use the number of observed events of decay i: | ||||||||
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< < | Ni = fK x t x [BR(K→i)] x A x Ei | |||||||
> > | Ni = fK ⋅ t ⋅ [BR(K→i)] ⋅ A ⋅ Ei | |||||||
where fK is the frequency of kaons in the beam, t is the time period of data taking, A is the "acceptance" or number of decays in the detector's fiducial region and Ei is the product of efficiencies ∏rεr for the efficiencies r relating to the trigger, reconstruction, kaon ID, daughter ID, track matching and all other processes used in the analysis (this should cover all contributions, even things like the possibility of events being incorrectly tagged as the decay you are measuring). |