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

Abstract

We explain how a four-body amplitude analysis of the $\mathrm{D}$ decay products in the mode ${\mathrm{B}}^{\pm }\to ({\mathrm{K}}^{+}{\mathrm{K}}^{-}{\pi }^{+}{\pi }^{-}{)}_{\mathrm{D}}{\mathrm{K}}^{\pm }$ is sensitive to the unitarity triangle angle $\gamma$. We present results from simulation studies which show that a precision on $\gamma$ of $15^{\circ }$ is achievable with 1000 events and assuming a value of 0.10 for the parameter $r_B$.

8 pages, 3 figures. (This version has bug in equation 4 fixed, and minor modification to references.)

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Cited by in corpus (15)

• B, D and K decays
• On the Measurement of the Unitarity Triangle Angle gamma from B^0 -> DK^{*0} Decays
• Amplitude Analyses of $D^0\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ and $D^0\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$ Decays
• Effect of D-Dbar mixing in the extraction of gamma with B- -> D0 K- and B- -> D0 pi- decays
• 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
• Amplitude analysis of D0->K+K-pi+pi-
• Charm mixing as input for model-independent determinations of the CKM phase gamma
• Brief Review of Charm Physics
• Model-independent determination of the strong phase difference between $D^0$ and ${\bar{D}}^0\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ amplitudes
• Model independent determination of the CKM phase $\gamma$ using input from $D^0-{\bar{D}}^0$ mixing
• A study of $CP$ violation in the decays $B^{\pm }\to [K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}{]}_D{h}^{\pm }$ ($h=K,\pi$) and $B^{\pm }\to [{\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}{]}_D{h}^{\pm }$
• A model-independent measurement of the CKM angle $\gamma$ in the decays $B^{\pm }\to [K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}{]}_D{h}^{\pm }$ and $B^{\pm }\to [{\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}{]}_D{h}^{\pm }$ ($h=K,\pi$)
• CP-violation parameters from decay rates of $B^{\pm }\to D{K}^{\pm }$, $D\to$ multibody final states
• Measuring CP violation in 3- and 4-body decays
• Measurement of the strong-phase difference between $D^0$ and $\overline{D^0}\to K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$ in bins of phase space