A global analysis of two-body D to VP decays within the framework of flavor symmetry

Abstract

Two-body charmed meson decays $D\to VP$ are studied within the framework of the diagrammatic approach. Under flavor SU(3) symmetry, all the flavor amplitude sizes and their associated strong phases are extracted by performing a ${\chi }^2$ fit. Thanks to the recent measurement of $D_s^{+}\to {\pi }^{+}{\rho }^0$, the magnitudes and the strong phases of the $W$-annihilation amplitudes $A_{P,V}$ have been extracted for the first time. As a consequence, the branching fractions of all the $D\to VP$ decays are predicted, especially those modes that could not be predicted previously due to the unknown $A_{P,V}$. Our working assumption, the flavor SU(3) symmetry, is tested by comparing our predictions with experiment for the singly and doubly Cabibbo-suppressed decay modes based on the flavor amplitudes extracted from the Cabibbo-favored decays using the current data. The predictions for the doubly Cabibbo-suppressed channels are in good agreement with the data, while those for the singly Cabibbo-suppressed decay modes are seen to have flavor SU(3) symmetry breaking effects. We find that the inclusion of SU(3) symmetry breaking in color-allowed and color-suppressed tree amplitudes is needed in general in order to have a better agreement with experiment. Nevertheless, the exact flavor SU(3)-symmetric approach alone is adequate to provide an overall explanation for the current data.

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• Beauty baryon non-leptonic decays into decuplet baryons and $CP$-asymmetries based on $SU(3)$-Flavor analysis
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• Observation of the Doubly Cabibbo-Suppressed Decay $D^{+}\to K^{+}{\pi }^{+}{\pi }^{-}{\pi }^0$ and Evidence for $D^{+}\to K^{+}\omega$
• Observation of the $W$-Annihilation Decay $D_s^{+}\to \omega {\pi }^{+}$ and Evidence for $D_s^{+}\to \omega K^{+}$
• Deciphering Weak Decays of Triply Heavy Baryons by SU(3) Analysis
• From topological amplitude to rescattering dynamics
• Measurements of Absolute Branching Fractions of $D^0\to K_L^0\varphi$, $K_L^0\eta$, $K_L^0\omega$, and $K_L^0{\eta }^{\prime }$
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• Amplitude analysis of $D_s^{+}\to {\pi }^{+}{\pi }^{-}{\pi }^{+}$
• Analysis of $CP$ violation in $D^0\to K^{+}{K}^{-}{\pi }^0$
• Amplitude analysis and branching fraction measurement of the decay \boldmath $D_s^{+}\to K^{+}{\pi }^{+}{\pi }^{-}{\pi }^0$
• Theory overview on amplitude analyses with charm decays
• Feasibility of searching for the Cabibbo-favored $D^{\ast }$ $\to$ $\bar{K}{\pi }^{+}$, ${\bar{K}}^{\ast }{\pi }^{+}$, $\bar{K}{\rho }^{+}$ decays
• Study of $D_s^{+}\to f_0(980){\rho }^{+}$ and $\varphi {\pi }^{+}$ decays through $D_s^{+}\to {\pi }^{+}{\pi }^{+}{\pi }^{-}{\pi }^0$
• Observation of $D^{0(+)}\to K_S^0{\pi }^{0(+)}{\eta }^{\prime }$ and improved measurement of $D^0\to K^{-}{\pi }^{+}{\eta }^{\prime }$
• Quark Diagram Analysis of B-meson emitting vector (V) and vector (V) mesons
• Contributions of $\rho (770,1450)\to \omega \pi$ for the Cabibbo-favored $D\to h\omega \pi$ decays
• Study of CP Violation in $D^{\pm }\to K^{\ast }(892{)}^0{\pi }^{\pm }+{\bar{K}}^{\ast }(892{)}^0{\pi }^{\pm }\to K_{S,L}^0{\pi }^0{\pi }^{\pm }$ Decays
• Measurements of the Branching Fractions of the Singly-Cabibbo-Suppressed Decays $D^0\to \omega \eta$, ${\eta }^{(\prime )}{\pi }^0$ and ${\eta }^{(\prime )}\eta$
• Quark Diagram Analysis of Bottom Meson Decays Emitting Pseudoscalar and Vector Mesons
• Observation of the doubly Cabibbo-Suppressed decays $D^{+}\to K^{+}{\pi }^0{\pi }^0$ and $D^{+}\to K^{+}{\pi }^0\eta$
• CP violation in quasi-two-body $D\to VP$ decays and three-body $D$ decays mediated by vector resonances
• Estimating QCD-factorization amplitudes through $SU(3)$ symmetry in $B\to PP$ decays
• Measurement of D0 ->omega eta Branching Fraction with CLEO-c Data
• Study of the doubly Cabibbo-suppressed decays $D_s^{+}\to K^{+}{K}^{+}{\pi }^{-}$ and $D_s^{+}\to K^{+}{K}^{+}{\pi }^{-}{\pi }^0$