Charm mixing as input for model-independent determinations of the CKM phase gamma

Abstract

The coherence factor and average strong phase difference of D0 and D0bar decay amplitudes to the same final state play an important role in the precision determination of the CKM parameter gamma using B- -> DK- and related decay modes. So far, this important input from the charm sector could only be obtained from measurements based on quantum-correlated DDbar pairs produced at the charm threshold. We propose to constrain these parameters using charm mixing, using the large charm samples available at the B factories and LHCb. We demonstrate for the example of D0->Kpipipi that a substantial improvement in the precision of the coherence factor and average strong phase difference can be obtained with this method, using existing data.

Accepted for publication in PLB

References in corpus (8)

• Averages of $b$-hadron, $c$-hadron, and $\tau$-lepton properties as of summer 2016
• Measurement of the CKM angle gamma from a combination of B->Dh analyses
• Determination of the D0 -> K+pi- Relative Strong Phase Using Quantum-Correlated Measurements in e+e- -> D0 D0bar at CLEO
• A model-independent Dalitz plot analysis of $B^{\pm }\to D{K}^{\pm }$ with $D\to K_{\mathrm{S}}^0{h}^{+}{h}^{-}$ ($h=\pi ,K$) decays and constraints on the CKM angle $\gamma$
• Model-independent search for CP violation in D0 to K-K+pi-pi+ and D0 to pi-pi+pi+pi- decays
• Determining the unitarity triangle angle $\gamma$ with a four-body amplitude analysis of ${\mathrm{B}}^{\pm }\to ({\mathrm{K}}^{+}{\mathrm{K}}^{-}{\pi }^{+}{\pi }^{-}{)}_{\mathrm{D}}{\mathrm{K}}^{\pm }$ decays
• Model-independent $D^0-\overline{D^0}$ mixing and CP violation studies with $D^0\to K_{\mathrm{S}}^0{\pi }^{+}{\pi }^{-}$ and $D^0\to K_{\mathrm{S}}^0{K}^{+}{K}^{-}$
• Search for b --> u Transitions in B^{+-} --> [K^{-+} pi^{+-} pi0]_D K^{+-} Decays

Cited by in corpus (16)

• Mixing and $CP$ violation in the charm system
• First observation of $D^0-{\bar{D}}^0$ oscillations in $D^0\to K^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ decays and measurement of the associated coherence parameters
• CP violation in the B system
• Improved determination of the $D\to K^{-}{\pi }^{+}{\pi }^{+}{\pi }^{-}$ coherence factor and associated hadronic parameters from a combination of $e^{+}{e}^{-}\to \psi (3770)\to c\bar{c}$ and $pp\to c\bar{c}X$ data
• Contributions to the width difference in the neutral $D$ system from hadronic decays
• Model-independent determination of the strong phase difference between $D^0$ and ${\bar{D}}^0\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ amplitudes
• Improved sensitivity to the CKM phase $\gamma$ through binning phase space in $B^{-}\to D{K}^{-}$, $D\to K^{+}{\pi }^{-}{\pi }^{-}{\pi }^{+}$ decays
• Model independent determination of the CKM phase $\gamma$ using input from $D^0-{\bar{D}}^0$ mixing
• 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 ${\phi }_1$ in $B^0\to \bar{D}{}^{(\ast )0}{h}^0$, $\bar{D}{}^0\to K_S^0{\pi }^{+}{\pi }^{-}$ decays with time-dependent binned Dalitz plot analysis
• Measuring $CP$ violation and mixing in charm with inclusive self-conjugate multibody decay modes
• 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
• A novel unbinned model-independent method to measure the CKM angle $\gamma$ in $B^{\pm }\to D{K}^{\pm }$ decays with optimised precision
• CP Violation and Mixing in Multi-body $D$ decays
• Measurement of the strong-phase difference between $D^0$ and $\overline{D^0}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$ in bins of phase space
• Measuring CP violation in 3- and 4-body decays