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Nonfactorizable Btochi_(c0)K decay and QCD factorization

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arxiv hep-ph/0502240 v5 pith:PRWEPIQZ submitted 2005-02-27 hep-ph hep-ex

Nonfactorizable Btochi_(c0)K decay and QCD factorization

classification hep-ph hep-ex
keywords correctionsdecayspectatorarisingend-pointestimatedfactorizationvertex
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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