Abstract
In this work, we attempt to study the Cabibbo–Kobayashi–Maskawa-favored B rightarrow overline{D} S (“S” denoting the scalar meson) decays within the perturbative QCD approach at the leading order and the leading power. Although the light scalar mesons are widely perceived as primarily the four-quark bound states, in practice it is hard for us to make quantitative predictions based on the four-quark picture for light scalars. Hence, we calculate the decays with light scalars in the two-quark model. For the decays with scalar mesons above 1 GeV, we have explored two possible scenarios, depending on whether the light scalars are treated as the lowest lying qbar{q} states or four-quark particles. In total, we calculated the branching fractions of 72 decay modes, and most of them are in the range 10^{-4}–10^{-7}, which are measurable in the on-going LHCb experiment and the forthcoming Belle-II experiment. Moreover, since in the standard model these decays occur only through tree operators and have no CP asymmetries, any deviation will be a signal of new physics beyond the standard model. Despite large uncertainties induced by nonperturbative parameters and corrections of high order and high power, our results and discussions will be useful for the on-going LHCb and the forthcoming Belle-II experiments.
Highlights
The scalar mesons reported by experiments include the isosinglet f0(600)(σ ), f0(980), f0(1370), f0(1500) and f0(1710), the isodoublet K0∗(800)(κ) and K0∗(1430), and the isovector a0(980) and a0(1450) [1]
In Ref. [50], we have attempted to study the B → D(∗) S decays induced by the b → u transition within the perturbative QCD (PQCD)
The light scalar mesons, especially f0(980) and a0(980), are widely perceived as primarily four-quark bound states, in practice it is difficult to make quantitative predictions based on the four-quark picture for light scalars
Summary
The scalar mesons reported by experiments include the isosinglet f0(600)(σ ), f0(980), f0(1370), f0(1500) and f0(1710), the isodoublet K0∗(800)(κ) and K0∗(1430), and the isovector a0(980) and a0(1450) [1]. By comparing the experimental data and the theoretical predictions, one could deduce which scenario is favorable Motivated by this viewpoint, many charmless B decays with scalars have been studied extensively [5,6,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47]. It should be stressed that many experimental data indicate that the light scalar mesons, such as f0(980) and a0(980), are predominately four-quark states, in practice it is very difficult for us to make quantitative predictions on.
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