A method for model-independent measurement of the CKM angle $\beta$ via time-dependent analysis of the $B^0\to D{\pi }^{+}{\pi }^{-}$, $D\to K_S^0{\pi }^{+}{\pi }^{-}$ decays

Abstract

A new method for model-independent measurement of the CKM angle $\beta$ is proposed, that employs time-dependent analysis of flavour-tagged $B^0\to D{\pi }^{+}{\pi }^{-}$ decays with $D$ meson decays into CP-specific and~$K_S^0{\pi }^{+}{\pi }^{-}$ final states. This method can be used to measure the angle $\beta$ with future data from the Belle II and LHCb experiments with the precision level of one degree.

24 pages, submitted to JHEP

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Cited by in corpus (3)

• Model-independent determination of the relative strong-phase difference between $D^0$ and ${\bar{D}}^0\to K_{S,L}^0{\pi }^{+}{\pi }^{-}$ and its impact on the measurement of the CKM angle $\gamma /{\varphi }_3$
• Determination of strong-phase parameters in $D\to K_{S,L}^0{\pi }^{+}{\pi }^{-}$
• Quasi-two-body decays $B_{(s)}\to P{D}_0^{\ast }(2400)\to PD\pi$ in the perturbative QCD approach