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Within the QCD factorization approach we compute the amplitudes forannihilation channels of B mesons decays into final states containing twopseudoscalar particles. These decays may be plagued by effects likenon-perturbative physics or breaking of the factorization hypothesis and imply,at some extent, the introduction of an infrared cutoff in the calculation ofamplitudes. We compute the decays with the help of infrared finite gluonpropagators and coupling constants that were obtained in different solutions ofthe QCD Schwinger-Dyson equations. These solutions yield a natural cutoff forthe amplitudes, and we argue that a systematic study of these B decays mayprovide a test for the QCD infrared behavior.

Non-leptonic annihilation decays of B mesons with a natural infrared cutoff