Phenomenological studies on the $B_{d,s}^0\to J/\psi f_0(500)[f_0(980)]$ decays

Abstract

Encouraged by the global agreement between theoretical predictions and experimental measurements for $B\to J/\psi V$ decays, we extend that perturbative QCD formalism to $B_{d,s}^0\to J/\psi f_0(500)[f_0(980)]$ decays at the presently known next-to-leading order in the quark-antiquark description of $f_0(500)$ and $f_0(980)$. With the angle ${\varphi }_f\approx 25^{\circ }$ of the $f_0(500)-f_0(980)$ mixing in the quark-flavor basis, we find that the branching ratios of the $B_d^0\to J/\psi f_0(500)(\to {\pi }^{+}{\pi }^{-})$ and $B_{d,s}^0\to J/\psi f_0(980)(\to {\pi }^{+}{\pi }^{-})$ modes generally agree with the current data or the upper limits within uncertainties, except for the seemingly challenging $B_s^0\to J/\psi f_0(500)(\to {\pi }^{+}{\pi }^{-})$ one. Then, we further explore the relevant observables of the $B_{d,s}^0\to J/\psi f_0(500)[f_0(980)]$ decays, which could provide further constraints on the mixing angle ${\varphi }_f$ and/or SU(3) flavor symmetry breaking effects. As a byproduct, we predict $\mathrm{BR}(B_d^0\to J/\psi f_0(980)(\to K^{+}{K}^{-}))=5.8_{-2.9}^{+3.1}\times 10^{-7}$ and $\mathrm{BR}(B_s^0\to J/\psi f_0(980)(\to K^{+}{K}^{-}))=4.6_{-2.3}^{+2.6}\times 10^{-5}$. All theoretical predictions await the future examinations with high precision.

RevTex file, 15 pages, 5 figures; final version to appear in PRD

References in corpus (14)

• Glueballs, Hybrids, Multiquarks. Experimental facts versus QCD inspired concepts
• The Status of Glueballs
• Branching Ratio Measurements of $B_s$ Decays
• The Experimental Status of Glueballs
• $B^0$ and $B_s^0$ decays into $J/\psi$ $f_0(980)$ and $J/\psi$ $f_0(500)$ and the nature of the scalar resonances
• Measurement of the resonant and CP components in ${\overline{B}}^0\to J/\psi {\pi }^{+}{\pi }^{-}$ decays
• $B_s\to f_0(980)$ form factors and $B_s$ decays into $f_0(980)$
• Analysis of the resonant components in B0->J/ψpi+pi-
• $S$-wave resonance contributions to the $B_{(s)}^0\to J/\psi {\pi }^{+}{\pi }^{-}$ and $B_s\to {\pi }^{+}{\pi }^{-}{\mu }^{+}{\mu }^{-}$ decays
• Penguin-dominated B -> PV decays in NLO perturbative QCD
• Measurement of the CP-violating phase $\beta$ in $B^0\to J/\psi {\pi }^{+}{\pi }^{-}$ decays and limits on penguin effects
• Nonleptonic $B_s$ to charmonium decays: analyses in pursuit of determining the weak phase ${\beta }_s$
• $B^0$ and $B_s^0$ decays into $J/\psi$ plus a scalar or vector meson
• Scalar resonance effects on the B_s - \bar B_s mixing angle

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• Quasi-two-body $B_{(s)}\to V\pi \pi$ Decays with Resonance $f_0(980)$ in PQCD Approach
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• Charmless $B_s\to VS$ Decays in PQCD Approach
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