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arXiv 2004.09027hep-phhep-ex
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Will the subprocesses $ρ(770,1450)^0\to K^+K^-$ contribute large branching fractions for $B^\pm \to π^\pm K^+K^-$ decays?

Wen-Fei Wang

英文摘要:

We analyze the quasi-two-body decays $B^+\toπ^+ρ(770,1450)^0 \toπ^+ K^+K^-$ in the perturbative QCD approach. The results in this work do not support that large branching fractions contributed by the resonances $ρ(770,1450)^0$ in the $B^\pm \to π^\pm K^+K^-$ decays. The virtual contribution for $K^+K^-$ from the tail of the resonance $ρ(770)^0$ which has been ignored in the experimental studies is about $1.5$ times of the $ρ(1450)^0 \to K^+K^-$ contribution, with the predicted branching fractions ${\mathcal B}_v=(1.31\pm0.27)\times10^{-7}$ and ${\mathcal B}=(8.96\pm2.61)\times10^{-8}$, respectively, for these two subprocesses in the $B^\pm \to π^\pm K^+K^-$ decays. The absence of $ρ(770)^0\to K^+K^-$ for the decay amplitude of a three-body hadronic $B$ decay involving charged kaon pair could probably result in a larger proportion for the contribution from the resonance $ρ(1450)^0$ in the experimental analysis.

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