Improved sensitivity to the CKM phase $\gamma$ through binning phase space in $B^{-}\to D{K}^{-}$, $D\to K^{+}{\pi }^{-}{\pi }^{-}{\pi }^{+}$ decays

Abstract

A binning scheme is proposed for $D^0\to K^{+}{\pi }^{-}{\pi }^{-}{\pi }^{+}$ phase space that will improve the sensitivity of a $B^{-}\to D{K}^{-}$ analysis to the angle $\gamma$ of the Cabibbo-Kobayashi-Maskawa Unitarity Triangle. The scheme makes use of amplitude models recently reported by the LHCb collaboration. Assuming that a four-bin scheme optimised on the models retains a similar sensitivity when applied in data, it is estimated that the statistical uncertainty on $\gamma$ from the $B$-meson sample so far collected by the LHCb experiment will be as low as 5 degrees. This will be one of the most precise results available for any single decay mode in a $B^{-}\to D{K}^{-}$ measurement. Quantum-correlated $D\bar{D}$ data accumulated by the CLEO-c experiment are analysed to provide first constraints on the coherence factors and average strong-phase differences in the four bins, which are necessary inputs for the measurement. These constraints are compared with the predictions of the model, and consequences for the measurement of $\gamma$ are discussed.

References in corpus (4)

• Measurement of the CKM angle $\gamma$ from a combination of LHCb results
• First Measurement of phi_3 with a Model-independent Dalitz Plot Analysis of B->DK, D->KsPiPi Decay
• Observation of direct CP violation in the measurement of the Cabibbo-Kobayashi-Maskawa angle gamma with B+- --> D(*)K(*)+- decays
• Model independent determination of the CKM phase $\gamma$ using input from $D^0-{\bar{D}}^0$ mixing

Cited by in corpus (8)

• Mixing and $CP$ violation in the charm system
• Heavy Flavour Physics and CP Violation at LHCb: a Ten-Year Review
• Measurement of the $D\to K^{-}{\pi }^{+}{\pi }^{+}{\pi }^{-}$ and $D\to K^{-}{\pi }^{+}{\pi }^0$ coherence factors and average strong-phase differences in quantum-correlated $D\bar{D}$ decays
• Measurement of the CKM angle $\gamma$ with $B^{\pm }\to D[K^{\mp }{\pi }^{\pm }{\pi }^{\pm }{\pi }^{\mp }]h^{\pm }$ decays using a binned phase-space approach
• Study of CKM angle $\gamma$ sensitivity using flavor untagged $B_s^0\to {\tilde{D}}^{(\ast )0}\varphi$ decays
• Recent advances in charm mixing and $CP$ violation at LHCb
• A model-independent measurement of the CKM angle $\gamma$ in the decays $B^{\pm }\to [K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}{]}_D{h}^{\pm }$ and $B^{\pm }\to [{\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}{]}_D{h}^{\pm }$ ($h=K,\pi$)
• Hadronic Decays of Charmed Hadron