Impact of subleading corrections on hadronicBdecays

Abstract

We study the subleading corrections originating from the three-parton $(q\overline{q}g)$ Fock states of final-state mesons in B decays. The corrections could give significant contributions to decays involving an $\ensuremath{\omega}$ or ${\ensuremath{\eta}}^{{(}^{\ensuremath{'}})}$ in the final states. Our results indicate the similarity of $\ensuremath{\omega}K$ and $\ensuremath{\omega}{\ensuremath{\pi}}^{\ensuremath{-}}$ rates, of order $5\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6},$ consistent with the recent measurements. We obtain ${a}_{2}(\stackrel{\ensuremath{\rightarrow}}{B}J/\ensuremath{\psi}K)\ensuremath{\approx}0.27+0.05i,$ in good agreement with data. Without resorting to the unknown singlet annihilation effects, three-parton Fock state contributions can enhance the branching ratios of $K{\ensuremath{\eta}}^{\ensuremath{'}}$ to a level above $50\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}6}.$