Revisiting nonfactorizable contributions to factorization-forbidden decays of B mesons to charmonium *

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.

Implications for new physics from a novel puzzle in B¯(s)0→Iguro1, Kitahara2 2020Phys. Rev. D311240View full textAdd to dashboardCite

“…Since g 22 ¼ g 11 is a necessary condition, this model also produces new physics contributions to b → ccs processes with the same size [51,52]. Although they, e.g., B þ → J=ψK þ , have been measured precisely, the SM predictions suffer from large nonfactorizable corrections [53][54][55]. We, therefore, expect that the b → ccs processes are less sensitive than b → cūq.…”

Resonance contributions from $χ_{c0}$ in the charmless three-body hadronic $B$ meson decays

“…The LCSR calculations mainly focus on B + → K + χ c0 and the prediction value is (1.0 ± 0.6) × 10 −4 [8]. Compared with previous PQCD calculations [9,10], we update the charmonium distribution amplitudes and some of the input parameters in this study. Our predictions are smaller than those of [9] and closer to [10].…”

“…Compared with previous PQCD calculations [9,10], we update the charmonium distribution amplitudes and some of the input parameters in this study. Our predictions are smaller than those of [9] and closer to [10]. The QCDF suffers endpoint divergences caused by spectator amplitudes and infrared divergences resulting from vertex diagrams.…”

“…Within the perturbative QCD (PQCD) approach, the nonfactorizable contributions to the B meson decays into charmonia including B 0,+ → K ( * )0,+ χ c0 were calculated in the Refs. [9,10]. In the framework of QCD factorization (QCDF), the exclusive decays including the B → χ c0 K were studied in [11][12][13][14][15][16].…”

$S$-wave contributions to the $B_{(s)}\rightarrow χ_{c1} (ππ,Kπ,KK)$ decays

“…Its explicit expression for 1P state can be found in Ref. [84,86], while that of 2P state will be derived in the appendix.…”