Optimal binning of $$D\to {K}_{\text{S}}^{0}{\pi }^{+}{\pi }^{-}$$ and $$D\to {K}_{\text{S}}^{0}{K}^{+}{K}^{-}$$ phase space for experimental measurements
Year: 2026
Type: article
Abstract: A bstract New binning schemes for the Dalitz plots of $$D\to {K}_{\text{S}}^{0}{\pi }^{+}{\pi }^{-}$$ and $$D\to {K}_{\text{S}}^{0}{K}^{+}{K}^{-}$$ decays are presented. These are determined using a new figure of merit for optimisation that better represents the sensitivity to γ than previous metrics. Further augmentation comes from including consideration of degeneracy with other physics parameters determined simultaneously and a more accurate treatment of relevant backgrounds. The overall expected improvement in the precision of γ measurements using B ± → DK ± decays, followed by $$D\to {K}_{\text{S}}^{0}{\pi }^{+}{\pi }^{-}$$ , is estimated at around 5%. In addition, the first dedicated optimisation is performed for the observables relevant to charm mixing, x CP and ∆ x , in $$D\to {K}_{\text{S}}^{0}{\pi }^{+}{\pi }^{-}$$ decays. This procedure accounts for both statistical sensitivity and the migration of events between bins due to detector resolution. The resulting binning scheme leads to an estimated gain of approximately 20% in statistical sensitivity, while maintaining the bias due to bin migration at a level comparable to the currently used scheme.
Source: Journal of High Energy Physics
Authors: M. Bovill, N. Jurik, S. Malde
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W7221701754