Resonance contributions $\varphi (1020,1680)\to K\bar{K}$ for the three-body decays $B\to K\bar{K}h$

Abstract

We study the contributions for the $K^{+}{K}^{-}$ and $K^0{\bar{K}}^0$ originated from the intermediate states $\varphi (1020)$ and $\varphi (1680)$ in the charmless three-body decays $B\to K\bar{K}h$, with $h=(\pi ,K)$, in the perturbative QCD approach. The subprocesses $\varphi (1020,1680)\to K\bar{K}$ are introduced into the distribution amplitudes of $K\bar{K}$ system via the kaon electromagnetic form factors with the coefficients taken from the fitted results. The predictions of the branching fractions for the decays $B\to \varphi (1680)h$ with the intermediate state $\varphi (1680)$ decays into $K^{+}{K}^{-}$ or $K^0{\bar{K}}^0$ are about $6\%$-$8\%$ of the corresponding results for the quasi-two-body decays $B\to \varphi (1020)h\to K^{+}{K}^{-}h$ in this work.

arXiv comment13 pages, 2 figures

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• Analysis of three-body charmless $B$-meson decays under the factorization-assisted topological-amplitude approach
• Global determination of two-meson distribution amplitudes from three-body $B$ decays in the perturbative QCD approach
• Resonances $\rho (1450{)}^{+}$ and $\rho (1700{)}^{+}$ in $B\to DKK$ decays
• Low-mass enhancement of kaon pairs in $B^{+}\to {\bar{D}}^{(\ast )0}{K}^{+}{\bar{K}}^0$ and $B^0\to D^{(\ast )-}{K}^{+}{\bar{K}}^0$ decays
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• Quasi-two-body decays $B\to P{f}_0(500)\to P{\pi }^{+}{\pi }^{-}$ in the perturbative QCD approach
• The virtual contributions from $K^{\ast }$ in the $B\to K^{\ast }\pi h$ and $B\to K\rho h$ decays
• Contributions of the subprocess $K_0^{\ast }(1430)\to K{\eta }^{\prime }$ in the charmless three-body $B$ meson decays