Nonfactorizable $B\to {\chi }_{c0}K$ decay and QCD factorization

Abstract

We study the unexpectedly large rate for the factorization-forbidden decay $B\to {\chi }_{c0}K$ within the QCD factorization approach. We use a non-zero gluon mass to regularize the infrared divergences in vertex corrections. The end-point singularities arising from spectator corrections are regularized and carefully estimated by the off-shellness of quarks. We find that the contributions arising from the vertex and leading-twist spectator corrections are numerically small, and the twist-3 spectator contribution with chiral enhancement and linear end-point singularity becomes dominant. With reasonable choices for the parameters, the branching ratio for $B\to {\chi }_{c0}K$ decay is estimated to be in the range $(2-4)\times 10^{-4}$, which is compatible with the Belle and BaBar data.

Appendix added; it is emphasized that in the dominant twist-3 spectator corrections the end-point singularity contributions may be estimated by the off-shellness of the charm quark (by the binding energy in charmonium) and the gluon (by the transverse momentum of the light quark in the kaon)

References in corpus (8)

• The Cosmological Parameters 2006
• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• New Results on B->pi, K, eta Decay Formfactors from Light-Cone Sum Rules
• The B Meson Decay Constant from Unquenched Lattice QCD
• Dalitz analysis of the three-body charmless decays B+=>K+Pi+Pi- and B+=>K+K+K-
• Nonfactorizable contributions to $B$ meson decays into charmonia
• $B\to {\chi }_{c0,2}K$ decays: a model estimation
• $\psi (3770)$ and $B$ meson exclusive decay $B\to \psi (3770)K$ in QCD factorization

Cited by in corpus (8)

• $B_s\to f_0(980)$ form factors and $B_s$ decays into $f_0(980)$
• Search for $C=+$ charmonium and bottomonium states in $e^{+}{e}^{-}\to \gamma +X$ at B factories
• $B \to (\jpsi,η_c) K$ decays in the perturbative QCD approach
• ${\chi }_{QJ}\to {\ell }^{+}{\ell }^{-}$ within and beyond the Standard Model
• Branching ratios and $CP$ asymmetries of $B\to {\chi }_{c1}K(\pi )$ decays
• Revisiting nonfactorizable contributions to factorization-forbidden decays of $B$ mesons to charmonium
• $B_s\to f_0(980)$ decays: Results from light-cone QCD Sum Rules
• Resonance contributions from ${\chi }_{c0}$ in the charmless three-body hadronic $B$ meson decays