Abstract
Motivated by the large rates of decays observed by the and Belle collaborations, we investigate the nonfactorizable contributions to these factorization-forbidden decays, which can occur through a gluon exchange between the system and the spectator quark. Our numerical results demonstrate that the spectator contributions are capable of producing a large branching ratio consistent with the experiments. As a by-product, we also study the Cabibbo-suppressed decays, such as and the U-spin-related decay, which have so far received less theoretical and experimental attention. The calculated branching ratios reach the order of , which is within the scope of the Belle-II and LHCb experiments. Further, the -asymmetry parameters are also calculated for these decays. The obtained results are compared with the available experimental data and numbers from other predictions. We also investigate the sources of theoretical uncertainties in our calculation.
Highlights
In the Standard Model (SM) of particle physics, the charmonium decays of B meson arise from the quark-level process b → qccwith q = d, s, involving tree and penguin amplitudes
Motivated by the large rates of B →K decays observed by the BABAR and Belle collaborations, we investigate the nonfactorizable contributions to these factorization-forbidden decays, which can occur through a gluon exchange between the ccsystem and the spectator quark
The factorization-forbidden decays of the B meson to charmonium have been revisited in the perturbative QCD (PQCD) formalism, which is free from endpoint singularities
Summary
Except for the χc modes, which are allowed under the factorization hypothesis, other modes are prohibited because of the V − A structure of the weak vertex [1, 2], where V and A denote the vector and axial vector currents, respectively These processes can occur through a gluon exchange between the charmonium system and the quark in other mesons, which induces the so-called nonfactorizable contributions [2]. The corresponding vector K∗ mode has been searched for and observed by the BABAR collaboration [12, 13] with a similar rate Another factorization-inhibited decay, B+ → χc2K+, has been measured by the Belle [14, 15] and BABAR [16] collaborations with an average branching ratio of (1.1±0.4)×10−5 [11], which is an order of magnitude smaller than that of the χc0 mode. The relevant meson distribution amplitudes are presented in the Appendix
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