Measuring the Relative Strong Phase in $D^0\to K^{\ast +}{K}^{-}$ and $D^0\to K^{\ast -}{K}^{+}$ Decays

Abstract

In a recently suggested method for measuring the weak phase $\gamma$ in $B^{\pm }\to K^{\pm }(K{K}^{\ast }{)}_D$ decays, the relative strong phase ${\delta }_D$ in $D^0\to K^{\ast +}{K}^{-}$ and $D^0\to K^{\ast -}{K}^{+}$ decays (equivalently, in $D^0\to K^{\ast +}{K}^{-}$ and $\od \to K^{*+} K^-$) plays a role. It is shown how a study of the Dalitz plot in $D^0\to K^{+}{K}^{-}{\pi }^0$ can yield information on this phase, and the size of the data sample which would give a useful measurement is estimated.

arXiv comment13 pages, latex, 5 figures, submitted to Phys. Rev. D. Appendix and some text on additional resonant contributions added

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• New Physics and CP Violation in Singly Cabibbo Suppressed D Decays
• B, D and K decays
• SU(3) Sum Rules for Charm Decay
• On Indirect CP Violation and Implications for D0-\overline{D0} and Bs -\overline{Bs} mixing
• Measurement of Interfering K^*+K^- and K^*-K^+ Amplitudes in the Decay D^0 --> K^+K^-pi^0
• Using untagged B^0 -> D K_S to determine gamma
• Contributions to the width difference in the neutral $D$ system from hadronic decays
• Relative phases in Dalitz plot amplitudes for $D^0\to K_S{\pi }^{+}{\pi }^{-}$ and $D^0\to {\pi }^0{K}^{+}{K}^{-}$
• Relative helicity phases in planar Dirac scattering
• Analysis of $CP$ violation in $D^0\to K^{+}{K}^{-}{\pi }^0$
• Accurate measurement of the D0-D0bar mixing parameters
• CLEO Dalitz plot results
• Charm Phenomenology for CKM Parameters
• Measuring $D^0-{\bar{D}}^0$ mixing in $D^0({\bar{D}}^0)\to f_0(980)K^{\ast }$ and more