Type: Article
Publication Date: 2001-03-06
Citations: 72
DOI: https://doi.org/10.1103/physrevd.63.074011
The hadronic decays $\stackrel{\ensuremath{\rightarrow}}{B}J/\ensuremath{\psi}{K(K}^{*})$ are interesting because experimentally they are the only color-suppressed modes which have been measured, and theoretically they are calculable by QCD factorization even when the emitted meson $J/\ensuremath{\psi}$ is heavy. We analyze the decay $\stackrel{\ensuremath{\rightarrow}}{B}J/\ensuremath{\psi}K$ within the framework of QCD factorization. We show explicitly the scale and ${\ensuremath{\gamma}}_{5}$-scheme independence of decay amplitudes and infrared safety of nonfactorizable corrections at twist-2 order. Leading-twist contributions from the light-cone distribution amplitudes (LCDAs) of the mesons are too small to accommodate the data; the nonfactorizable corrections to naive factorization are small. We study the twist-3 effects due to the kaon and find that the coefficient ${a}_{2}(J/\ensuremath{\psi}K)$ is largely enhanced by the nonfactorizable spectator interactions arising from the twist-3 kaon LCDA ${\ensuremath{\varphi}}_{\ensuremath{\sigma}}^{K},$ which are formally power suppressed but chirally, logarithmically, and kinematically enhanced. Therefore, factorization breaks down at twist-3 order. The higher-twist effects of $J/\ensuremath{\psi}$ are briefly discussed. Our result also resolves the long-standing sign ambiguity of ${a}_{2}(J/\ensuremath{\psi}K),$ which turns out to be positive for its real part.