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B-> J/psi K Decays in QCD Factorization | | Hai-Yang Cheng
; Kwei-Chou Yang
; | | Date: |
14 Nov 2000 | | Journal: | Phys.Rev. D63 (2001) 074011 | | Subject: | hep-ph | | Abstract: | The hadronic decays $B o J/psi K(K^*)$ are interesting because experimentally they are the only color-suppressed modes which have been measured, and theoretically they are calculable by QCD factorization even the emitted meson $Jpsi$ is heavy. We analyze the decay $B o Jpsi K$ within the framework of QCD factorization in the heavy quark limit. We show explicitly the scale and $gamma_5$-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 and not significant. We study the twist-3 effects due to the kaon and find that the coefficient $a_2(Jpsi K)$ is largely enhanced by the nonfactorizable spectator interactions arising from the twist-3 kaon LCDA $phi^K_sigma$, which are formally power-suppressed but chirally, logarithmically and kinematically enhanced. Therefore, factorization breaks down at twist-3 order. Higher-twist effects of $Jpsi$ are briefly discussed. Our result also resolves the long-standing sign ambiguity of $a_2(Jpsi K)$, which turns out to be positive for its real part. | | Source: | arXiv, hep-ph/0011179 | | Services: | Forum | Review | PDF | Favorites | |
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