Nonfactorizable Contributions to Nonleptonic Weak Decays of Heavy Mesons

Abstract

Nonfactorizable contributions to exclusive two-body nonleptonic weak decays of heavy mesons arising from color octet currents, characterized by the parameter $r_2$, are extracted from the data. It is found that $r_2$ is equal to $\sim -0.67$, $-(0.9\sim 1.1),-(1.2\sim 1.3)$, $\sim 0.36$ respectively for $D\to \bar{K}\pi ,{\bar{K}}^{\ast }\pi ,{\bar{K}}^{\ast }\rho ,\bar{B}\to D\pi$ decays. As expected, soft-gluon effects become stronger when the decay particles are less energetic, allowing more time for significant final-state strong interactions. As a consequence, the parameter $a_2$ is not universal and is channel or class dependent, contrary to the anticipation of the factorization approach. The leading $1/N_c$ expansion works most successfully for $D\to \bar{K}\pi$ decays as the subleading $1/N_c$ factorizable contribution is almost compensated by the soft-gluon effect. We argue that, in contrast to what happens in $B^{-}\to D^{(\ast )}\pi (\rho )$ decays, the nonfactorizable term and the subleading $1/N_c$ factorizable term in $\bar{B}\to \psi {\bar{K}}^{(\ast )}$ decays are opposite in signs, in accordance with a recent QCD sum rule calculation. Implications are discussed.

14 pages, IP-ASTP-11-94

References in corpus (6)

• The 1/N Expansion for Baryons
• Baryon-Pion Couplings from Large-N QCD
• 1/N Corrections to the Baryon Axial Currents in QCD
• Two Body Non Leptonic Decays of B and B_s Mesons
• Exclusive Hadronic B Decays to Charm and Charmonium Final States
• SU(3) Breaking Effects in Charmed Meson Decays

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