Speaker
Description
Precision measurements of the CKM angle γ and of CP violation in charm mixing using model-independent analyses of $D \to K^0_S \pi^+ \pi^-$ decays rely critically on the choice of Dalitz-plot binning. Measurements of γ have, for more than a decade, used the same optimal binning scheme, while no dedicated optimisation has previously been performed for measurements of charm mixing observables.
In this work, we revisit the binning optimisation for γ measurements using a revised metric directly related to the statistical precision on γ. Other improvements are also implemented taking into account various realities of measurement such as backgrounds and systematic uncertainties that are sensitive to the binning scheme. Sensitivity studies show an improvement of approximately 5% in the expected precision on γ with $B^{\pm}\rightarrow DK^{\pm}$.
In addition, a new metric optimised for sensitivity to the CP violation in the interference and mixing of the $D \to K^0_S \pi^+ \pi^-$ decay is derived and used to obtain, for the first time, a dedicated optimal binning scheme for this measurement. Sensitivity studies demonstrate a substantial improvement of approximately 25% compared to the currently used equal-phase binning scheme.
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